Let X1,X2,...,Xn be a random sample of size n from a geometric distribution for which p is the probability of success.
(a) Use the method of moments to find a point estimate for p.
(b) Explain intuitively why your estimate makes good sense.
Answers
a) X1+X2 have distribution Bi(n1+n2, p)
b) P(X1 + X2 = 1) = (1-p)ⁿ¹ * np(1-p)ⁿ²⁻¹+ (1-p)ⁿ²*np(1-p)ⁿ¹-¹
Since both variables are independent but they have the same probability parameter, you can interpret that like if the experiment that models each try in both variables is the same. When you sum both random variables toguether, what you obtain as a result is the total amount of success in n1+n2 tries of the same experiment, thus X1+X2 have distribution Bi(n1+n2, p).
b)
Note that, if X2 = k, then X1+X2 = 1 is equivalent to X1 = 1-k. Since X1 and X2 are independent, then P(X1+X2 = 1| X2 = K) = P(X1=1-k|X2=k) = P(X1 = 1-k).
If k = 0, then this probability is equal to P(X1 = 1) = np(1-p)ⁿ¹⁻¹
If k = 1, then it is equal to P(X1 = 0) = (1-p)ⁿ¹
Thus,
P(X1+X2 = 1) = P(X1+X2 = 1| X2 = 1) * P(X2=1) + P(X1+X2 = 1| X2 = 0) * P(X2 = 0) = (1-p)ⁿ¹ * np(1-p)ⁿ²⁻¹+ (1-p)ⁿ²*np(1-p)ⁿ¹-¹
learn more about of distribution here
https://brainly.com/question/14690794
#SPJ4
Related Questions
18) Solve for side AC.
A) 1.10
B) 8.24
C) 9.50
70
C
3
B
Answers
Step-by-step explanation:
tan0=opp/adj
where opposite =3,adjacent =x,=70
tan 70=3/x
2.7474=3/x
2.7474x=3
divide both sides by 2.7474
x=3/2.7474
x=1.0919
x=1.10 to 1 d.p
The circumference of a circle is 137 m. Find its diameter, in meters.
Answers
Step-by-step explanation:
\(137 = 2\pi \times r \\ r = \frac{137}{2\pi} = 21.8045232 \\ diameter = 2 \times r = 43.609 \\ = 43.61 \: m\)
Adult tickets to a play cost $2.25 each and student tickets cost $1.25 each. Suppose there are twice as many student tickets sold as adult tickets. If the income from the play was $1,425, how many of each type of ticket were sold?
adult tickets
student tickets
Answers
Answer:
Answer: 50 adult tickets and 70 student tickets
Answer: I think the answer is they sold 900 tickets I don't know really
Step-by-step explanation:
A mother gives birth to a 7 pound baby. Every 2 months, the baby gains 2 pounds. If x is the age of the baby in months, then y is the weight of the baby in pounds. Find an equation of a line in the form y = mx + b that describes the baby's weight.
y=_____________________
Answers
Answer:
y=2x+7
Step-by-step explanation:
2 is the constant and 7 is the initial thing. You're welcome
1. A student in an algebra course has test scores of 75, 82, 71, and 84. What score on the next test will raise the student’s average to 80?
Answers
Hey there! I'm happy to help!
We have 5 numbers that will give us an average score of 80.
75,82,71,84,x
What we do is add these all up and divide by 5 to get 80. Let's go backwards to find x.
We multiply by 5.
80(5)=400
We subtract all of the numbers except for x.
400-75-82-71-84=88
Therefore, the score on the next test has to be 88 to have the student's average be 80.
Have a wonderful day! :D
Find the surface area of the box shown
Answers
Simplify:
The square root of p squared
Answers
Answer:
\(p\)
Step-by-step explanation:
\(\sqrt{p^2} = p\)
Which table represents a linear function?
Answers
Answer:
C
Step-by-step explanation:
C is the only function that have a consistent decrease while A is a trigonometric function, B is a non linear function, D is an exponential function
Answerrrrrrrrrrrrrrrrrrrrrr nowwwwwww
Answers
\(\rm{\pink{\underline{\underline{\blue{ANSWER:-}}}}}\)
√64 = 8 \(\rm{8\dfrac{1}{7}\:=\:57/7}\) = 8.142\(\rm{8.\overline{14}}\) = 8.1414..15/2 = 7.5
=> 8.142 > 8.1414 > 8 > 7.5 .
\(\rm\red{\therefore}\) 2) \(\rm{8\dfrac{1}{7}}\) , \(\rm{8.\overline{14}}\) , √64 , 15/2
Use the image to determine the direction and angle of rotation. Graph of triangle ABC in quadrant 1 with point A at 1 comma 3. A second polygon A prime B prime C prime in quadrant 4 with point A prime at 3 comma negative 1. 90° clockwise rotation 180° clockwise rotation 180° counterclockwise rotation 90° counterclockwise rotation
Answers
First, we can find the translation vector that moves point A to point A':
translation vector = A' - A = (3, -1) - (1, 3) = (2, -4)
Next, we can find the vector that connects point B to point A in the original triangle ABC:
vector AB = B - A
Then, we can rotate this vector using the rotation matrix for the desired angle of rotation:
90° clockwise rotation:
|0 -1| |x| |y'|
|1 0| * |y| = | -x'|
180° clockwise rotation:
|-1 0| |x| |x'|
| 0 -1| * |y| = |y'|
180° counterclockwise rotation:
|-1 0| |x| |-x'|
| 0 -1| * |y| = |-y'|
90° counterclockwise rotation:
| 0 1| |x| |-y'|
|-1 0| * |y| = | x'|
Finally, we can add the translation vector to the rotated vector to get the coordinates of the corresponding point in the new polygon A' B' C':
90° clockwise rotation: B' = A' + (AB rotated 90° clockwise + translation)
180° clockwise rotation: B' = A' + (AB rotated 180° clockwise + translation)
180° counterclockwise rotation: B' = A' + (AB rotated 180° counterclockwise + translation)
90° counterclockwise rotation: B' = A' + (AB rotated 90° counterclockwise + translation)
Using this method, we can find the coordinates of points B' and C' in the new polygon A' B' C'. Then, we can use the coordinates of these points to determine the direction and angle of rotation needed to move the original triangle to the new polygon.
Find the area of the region
Answers
The area of the region that lies inside the circle r = cosθ and outside the cardioid r = 1 - cosθ is √3 - π/3.
What is the area of the region that lies inside the circleTo find the area of the region that lies inside the circle r = cosθ and outside the cardioid r = 1 - cosθ, we can integrate the difference between the areas of the two curves.
First, we can find the bounds of integration by setting the two curves equal to each other:
cosθ = 1 - cosθ
2cosθ = 1
cosθ = 1/2
θ = π/3, 5π/3
The area of the region can then be found by integrating the difference between the areas of the two curves with respect to θ from π/3 to 5π/3:
A = ∫[π/3, 5π/3] (1/2 (1 - cosθ)^2 - 1/2 cos^2θ) dθ
Simplifying the integrand, we get:
A = ∫[π/3, 5π/3] (1/2 - cosθ/2 - 1/2cos^2θ) dθ
A = ∫[π/3, 5π/3] (1/2 - cosθ/2 - 1/4(1 + cos2θ)) dθ
A = ∫[π/3, 5π/3] (3/4 - cosθ/2 - 1/4cos2θ) dθ
Using the trigonometric identity cos2θ = 2cos^2θ - 1, we can simplify the integrand further:
A = ∫[π/3, 5π/3] (3/4 - cosθ/2 - 1/8(2cos^2θ - 1)) dθ
A = ∫[π/3, 5π/3] (11/8 - 1/16cos^2θ - cosθ/2) dθ
Integrating with respect to θ, we get:
A = [11/8θ - 1/48sin2θ - 1/2sinθ] [π/3, 5π/3]
A = (11/4π - √3/8 - 1/2) - (11/12π + √3/24 - 1/2)
A = √3 - π/3
Learn more on area of a region inside circle here;
https://brainly.com/question/27549034
#SPJ1
Quadrilateral YFGT can be mapped onto quadrilateral MKNR by a translation. If TY = 2, find RM.
Answers
Based on the information given, we can conclude that RM = 2, but we cannot determine the lengths of the other sides of the quadrilaterals without further information.
Given that quadrilateral YFGT can be mapped onto quadrilateral MKNR by a translation, we can use the information to determine the length of RM.
A translation is a transformation that moves every point of a figure by the same distance and in the same direction. In this case, the translation is such that the corresponding sides of the quadrilaterals are parallel.
Since TY = 2, and the translation moves every point by the same distance, we can conclude that the distance between the corresponding points R and M is also 2 units.
Therefore, RM = 2.
By the properties of a translation, corresponding sides of the two quadrilaterals are congruent. Hence, side YG of quadrilateral YFGT is congruent to side MK of quadrilateral MKNR, and side GT is congruent to NR. However, the given information does not provide any additional details or measurements to determine the lengths of these sides.
For more such questions on quadrilaterals
https://brainly.com/question/27991573
#SPJ8
PLEASE HELP!!!
geometry-
guys i need help with 1,2,7,8 please if anyone can help ill give brainliest
Answers
How many different committees can be formed from 11 teachers and 50 students if the committee consists of 2 teachers and 2 students?
Answers
Answer:
5 committees can be formed
Step-by-step explanation:
number of teachers=11
number of students=50
number of teachers in a committee=2
number of students in a committee=2
A student was asked to give the exact solution to the equation
22x+4-9(2) = 0
The student's attempt is shown below:
22x+49(2)=0
22x+24-9(2) = 0
Let 2* = y
y²-9y+8=0
(y-8)(y-1)=0
y = 8 or y=1
So x = 3 or x = 0
(a) Identify the two errors made by the student.
(b) Find the exact solution to the equation.
Answers
(a) The errors made by the student are:
Incorrectly expanding 49(2) as 24 instead of 98.
Mistakenly factoring the quadratic equation as (y - 8)(y - 1) instead of
\(y^{2} - 9y + 8.\)
(b) The exact solution to the equation is x = 7/11.
(a) The student made two errors in their solution:
Error 1: In the step \("22x + 49(2) = 0,"\) the student incorrectly expanded 49(2) as 24 instead of 98. The correct expansion should be 49(2) = 98.
Error 2: In the step \("y^{2} - 9y + 8 = 0,"\) the student mistakenly factored the quadratic equation as (y - 8)(y - 1) = 0. The correct factorization should be \((y - 8)(y - 1) = y^{2} - 9y + 8.\)
(b) To find the exact solution to the equation, let's correct the errors made by the student and solve the equation:
Starting with the original equation: \(22x + 4 - 9(2) = 0\)
Simplifying: 22x + 4 - 18 = 0
Combining like terms: 22x - 14 = 0
Adding 14 to both sides: 22x = 14
Dividing both sides by 22: x = 14/22
Simplifying the fraction: x = 7/11
Therefore, the exact solution to the equation is x = 7/11.
For more questions on quadratic equation
https://brainly.com/question/30164833
#SPJ8
6x2 + 14 - 10x
What is the value of the expression when x = 5?
A.
170
B.
24
C.
114
D.
864
Answers
\(\lsrge\text{Hey there!}\)
\(\mathsf{6x^2 + 14 - 10x}\\\mathsf{= 6(5)^2 + 14 - 10(5)}\\\mathsf{= 6(\bold{25}) + 14 - 10(5)}\\\mathsf{= \bold{150} + 14 - 10(5)}\\\mathsf{= \bold{164} - 10(5)}\\\mathsf{= 164 - \bf 50}\\\mathsf{= \bf 114}\\\\\large\text{Therefore, your answer is: \huge\boxed{\mathsf{Option\ C. 114}}}\huge\checkmark\)
\(\large\text{Good luck on assignment \& enjoy your day!}\)
~\(\frak{Amphitrite1040:)}\)
I WILL GIVE BRAINLIEST TO THE BEST AND CORRECT ANSWER
Choose all the statements that are true.
1. 15 pt<2 gal
2. 1 gal<5 qt
3. 12 fl oz> 2 c
4. 2 qt 1 c>10 c
5. 20 pt = 10 qt
Answers
Answer:
the answer should be 3 and 5 :)
Step-by-step explanation:
the answer speaks for itself
What is the value of 30-2(7+2)-1?
O 11
0 14
017
019
Answers
30 - 18 - 1
12 - 1
11
So the answer is 11
PLEASE HELP
Two projectiles are shot vertically upward at the same instant.
Projectile A's height in feet, f(t), is represented in the table, where t is the seconds since the projectile was shot off
Projectile B's height at any time t is modeled by the function
h (t)=-16t^2 +96t
How do the times at which the projectiles begin their descents compare?
SEE PHOTO
Answers
Projectile B begins its descent 1 seconds before Projectile A does.
What is y-intercept?In Mathematics and Geometry, the y-intercept of any graph or table such as a quadratic equation or function, generally occurs at the point where the value of "x" is equal to zero (x = 0).
By critically observing the table shown in the image attached above, we can reasonably infer and logically deduce the following y-intercept of Projectile A:
y-intercept = (0, 44).
Maximum height = (4, 300).
When t = 0, the y-intercept of Projectile B can be calculated as follows;
h(t) = -16t² + 96t
h(0) = -16(0)² + 96(0)
h(0) = 0.
For the maximum height, we have:
h(t) = -16t² + 96t
h'(t) = -32t + 96
32t = 96
t = 96/32
t = 3
Difference in time = 4 - 3
Difference in time = 1 seconds.
Read more on time and maximum height here: https://brainly.com/question/30145152
#SPJ1
1. The replacement value of a home is $175,000. The home is insured for 90% of the replacement value. What is the coverage for personal property in dollars. Use the Figure below.
2. The list price of a wool suit is $400. The chain discounts are 30% less 25%. Find the final net price in dollars.
3. List price for Model 36XCL motorboat is $2,560. Chain discounts are 30% less 10% less 5%. Find the net-price rate as a percent. Round to the nearest hundredth of a percent.
4. A cordless phone has a list price of $125.50. Chain discount is 40/20. Determine the net price in dollars. Round to the nearest hundredth of a percent.
pictures only for question number one
Answers
On solving provided question, we can say that The coverage for personal property can be found by multiplying the replacement value of the home by the percentage of coverage for personal property.
What is percentage?A percentage in mathematics is a figure or ratio that is stated as a fraction of 100. The abbreviations "pct.," "pct," and "pc" are also occasionally used.
The coverage for personal property can be found by multiplying the replacement value of the home by the percentage of coverage for personal property.
Coverage for personal property = Replacement value of home x Percentage of coverage for personal property
Coverage for personal property = $175,000 x 0.9
Coverage for personal property = $157,500
Therefore, the coverage for personal property is $157,500.
The chain discounts can be combined using the formula:
Total discount = 1 - (1 - Discount 1) x (1 - Discount 2)
Total discount = 1 - (1 - 0.3) x (1 - 0.25)
Total discount = 1 - 0.7 x 0.75
Total discount = 1 - 0.525
Total discount = 0.475
The final net price can be found by multiplying the list price by the total discount:
Final net price = List price x Total discount
Final net price = $400 x 0.475
Final net price = $190
Therefore, the final net price is $190.
The net-price rate can be found by subtracting the chain discounts from 1 and converting the result to a percentage:
Net-price rate = 100% x (1 - Discount 1) x (1 - Discount 2) x (1 - Discount 3)
Net-price rate = 100% x (1 - 0.3) x (1 - 0.1) x (1 - 0.05)
Net-price rate = 100% x 0.7 x 0.9 x 0.95
Net-price rate = 59.32%
Therefore, the net-price rate is 59.32%.
The chain discount can be converted to a decimal by dividing the first discount by the second and adding 1:
Chain discount = Discount 1 / Discount 2 + 1
Chain discount = 40 / 20 + 1
Chain discount = 3
The net price can be found by multiplying the list price by the chain discount:
Net price = List price x Chain discount
Net price = $125.50 x 3
Net price = $376.50
Therefore, the net price is $376.50.
To know more about percentage visit:
https://brainly.com/question/28269290
#SPJ1
the equation of line "C" is y= -38x + 47. line "D" is perpendicular to "C". what is the slope of line "D"?
Answers
38
1) Considering that y=-38x +47 and line D is perpendicular, then we can write the slope of D as:
\(m_D=-\frac{1}{m_c}\)The reciprocal and opposite of line C.
2) So the slope of D, is going to be
\(m_D=-\frac{1}{-38}=38\)3) Hence, the answer is the slope of D is 38
Please no links I’ll pick brainliest
Which one is incorrect
Answers
Answer:
the graph because it should go down every 10 minutes not up.
Step-by-step explanation:
Will give brainliest answer
Answers
Answer:
A=50.26548246units^2
Step-by-step explanation:
Radius is 4 because half the diameter (8) is the radius (4)
A=πr^2
A=π(4)^2
A=50.26548246units^2
Answer:
16 pi unit^2
Step-by-step explanation:
The diameter is 8 so we can find the radius
r = d/2 =8/2 = 4
The area is given by
A = pi r^2
A = pi ( 4)^2
A = pi *16
solve each system by substitution.
4x+4y=4
y=0
Answers
The system of equations when solved by substitution is x = 1 and y = 0
Solving the system of equations by substitution.From the question, we have the following parameters that can be used in our computation:
4x+4y=4
y=0
Substitute 0 for y in the first equation
So, we have
4x + 4(0) =4
This gives
4x = 4
Divide by 4
x = 1
Hence, the solution is x = 1 and y = 0
Read mroe about system of equations at
https://brainly.com/question/13729904
#SPJ1
Simplify the expression:
2d+11x4
Answers
Answer:
2d+44
Step-by-step explanation:
Multiply all numbers without variables:
11x4=44
Add equations:
2d+44
Hence, the correct answer is 2d+44
Answer:
2d+44
Step-by-step explanation:
Multiply:
11x4=44
Final Equation:
2d+44
a: b= 7:2
How many times larger is a than b?
Answers
Answer:
3.5x larger
Step-by-step explanation:
All you do is 7 divided by 2 for an easy answer.
Answer:
\(a \: is \: 3.5times \: larger \: than \: b.....\)
Find the length of the line joining A (3,5) and B (1,3)
Answers
Answer:
2√2 units.
Step-by-step explanation:
To find the length of the line joining points A(3, 5) and B(1, 3), we can use the distance formula. The distance formula is given by:
d = sqrt((x2 - x1)^2 + (y2 - y1)^2)
Substituting the coordinates of points A and B into the formula, we have:
d = sqrt((1 - 3)^2 + (3 - 5)^2)
= sqrt((-2)^2 + (-2)^2)
= sqrt(4 + 4)
= sqrt(8)
= 2sqrt(2)
Therefore, the length of the line joining points A and B is 2√2 units.
Line G passes through the point (7,11) and is parallel to the line given by y = 4(3x + 2). What is the equation of line G? Give your answer in the form y = mx + c, where m and c are integers or fractions in their simplest forms.
Answers
Answer:
y = 12x - 73
Step-by-step explanation:
Pre-SolvingWe are given the line y=4(3x+2).
We want to find the equation of line G, which contains the point (7,11), and is parallel to y=4(3x+2) in the form y=mx+c. m is the slope, and c is the value of y at the y-intercept.
Parallel lines have the same slopes. So, we should start by finding the slope of y=4(3x+2).
SolvingWe can do the distributive property to distribute the 4 to both terms on the right side.
y=4(3x+2) => y=12x + 8
Notice how this equation is written in the form y=mx+c. As 12 is written in the place where m is, the slope of this line is 12.
It is also the slope of line G.
We can replace m in y=mx+c with 12 for line G. We'll get:
y=12x + c
Now, we need to find c.
We can use the point (7,11) to help us find c.
Substitute 7 for x and 11 for y.
11 = 12(7) + c
Multiply.
11 = 84 + c
Subtract 84 from both sides
-73 = c
Substitute -73 as c.
y = 12x - 73
7. Write the new function, h(x), given the mapping statement: f(X)->-4f(X)
f(X) =(x+3)^2+3
Answers
Answer:
hshdhdhdshejiwiwiwiwiwi
V7xV2
Realiza la siguiente multiplicación de raíces cuadradas
Answers
It is always a good practice to simplify the result whenever possible, but in this case, V14 is the simplest form of the product of V7 and V2.
To multiply the square roots V7 and V2, we can combine the numbers inside the square roots and simplify the result.
V7 * V2 = V(7 * 2) = V14
Multiplying the numbers under the square roots, we get 7 * 2 = 14. Therefore, the product of V7 and V2 is V14.
This means that the square root of 14 is the result of multiplying V7 and V2. However, it is important to note that V14 cannot be further simplified because 14 does not have any perfect square factors.
In summary, the product of V7 and V2 is V14. It is worth mentioning that when multiplying square roots, we can multiply the numbers inside the square roots and keep the square root symbol intact, unless the numbers inside have perfect square factors that can be simplified further.
It is always a good practice to simplify the result whenever possible, but in this case, V14 is the simplest form of the product of V7 and V2.
for such more question on simplest form
https://brainly.com/question/4077992
#SPJ8