Thomas has devised a scheme for splitting up the test and training set. For each row from coordinates : • Rows for Stanford students have a 50% chance of being placed in the train set and 50% chance of placed in the test set. • . Rows for Berkeley students have a 80% chance of being placed in the train set and 20% chance of placed in the test set.Given that a row is in the test set, what is the probability that it corresponds to a Stanford student? Assign that probability to prob_furd. Hint: Remember that there are 77 Berkeley students and 23 Stanford students in coordinates Hint 2: Thomas' last name is Bayes (15 points)
Answers
The probability that a row in the test set belongs to a Stanford student is 0.4167.
Given that,
Thomas has come up with a plan for dividing the training and test set. From the coordinates, for each row:
Students from Stanford have a 50% chance of being assigned to the test set and a 50% chance of being assigned to the train set for their rows.
20% of Berkeley students' rows are assigned to the test set, while 80% are assigned to the train set.
We have to find what is the probability that a row in the test set belongs to a Stanford student.
We know that,
Let us define events are as
B: Student in the coordinate is Berkeley student
S: Student in the coordinate is Stanford student
Tr: Rows is in the train set
Ts: Rows is in the test set
Since there are 77 Berkeley student and 23 Stanford student in coordinate
Hence,
P(B) = Probability that Student in the coordinate is Berkeley student
= 77/(77+23) = 77/100 = 0.77
P(S) = Probability that Student in the coordinate is Stanford student =23/(77+23) = 23/100 = 0.23
Conditional probability,
P(Ts|B) = Probability that Student placed in the test set when the student is Berkeley student = P(Ts|B) = 0.20
P(Ts|S) = Probability that Student placed in the test set when the student is Stanford student = P(Ts|S) = 0.5
Required probability,
Given that a row is in the test se, Probability that it corresponds to a Stanford student =
Probability of Stanford students = P(S|Ts) =
By Bayes theorem,
P(S|Ts) = P(Ts|S)×P(S)/P(Ts|S)×P(S)+P(Ts|B)×P(B)
P(S|Ts) = 0.22×0.5/0.22×0.5+0.20×0.77
P(S|Ts) = 0.4167
Therefore, The probability that a row in the test set belongs to a Stanford student is 0.4167.
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Related Questions
Please help me!! I need help asap
Answers
find the statement that is incorrect. Then, correct and rewrite the statement in the space provided. Show any necessary work.
Answers
The incorrect statement is
The transformation can be represented by (7/3x, 7/3y)What is Dilation in Transformation?In mathematics, dilation can be defined as a transformation which alters the size of an object, though its shape remains unchanged. It is described as a specific similarity transformation where all dimensions associated with the given object (i.e. height, width and length) are increased or decreased uniformly by a particular scale factor.
A dilation thus produces an alteration in size, with the figure being either magnified or diminished while keeping its unique shape intact.
The scale factor used in the dilation is 9/7 instead of 7/3.
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Is 2/9 equivalent to 1:5 ?
Answers
Answer:
No it is not
Now can u help me with my most recent question plssss
I will be giving brainleist on it
Answer: no 2/9 id not equivalent to 1.5
Step-by-step explanation: first to get the percentage of 2/9 divide 10 by 9 which equals 1 then you multiply 2 to the awnser which equals 2. which means that 2/9ths is equivalent to 20 percent. now twenty percent or .20 is the equivqlent percent to 2/9 so no 2/9 is not equivalent to 1.5
Eugene and Jessica each improved their yards by planting hostas and geraniums. They bought
their supplies from the same store. Eugene spent $150 on 18 hostas and 6 geraniums. Jessica
spent $113 on 7 hostas and 16 geraniums. Find the cost of one hosta and the cost of one
geranium.
Answers
The cost of one hosta is approximately $7 and the cost of one geranium is approximately $4.
To find the cost of one hosta and one geranium, we can set up a system of equations based on the given information.
Let's assume the cost of one hosta is represented by 'h' and the cost of one geranium is represented by 'g'.
From the information given, we can set up the following equations:
Eugene's spending:
18h + 6g = $150
Jessica's spending:
7h + 16g = $113
We can now solve this system of equations to find the values of 'h' and 'g'.
Multiplying the first equation by 2 and the second equation by 3 to eliminate 'g', we get:
36h + 12g = $300
21h + 48g = $339
Now, we can subtract the second equation from the first to eliminate 'h':
(36h + 12g) - (21h + 48g) = $300 - $339
36h - 21h + 12g - 48g = -$39
15h - 36g = -$39
Simplifying further, we have:
15h - 36g = -$39
Now we can solve this equation for 'h' and substitute the value back into any of the original equations to find 'g'.
Let's solve for 'h':
15h = 36g - $39
h = (36g - $39) / 15
Substituting this value of 'h' into Eugene's equation:
18[(36g - $39) / 15] + 6g = $150
(648g - $702) / 15 + 6g = $150
648g - $702 + 90g = $150 * 15
738g - $702 = $2250
738g = $2250 + $702
738g = $2952
g = $2952 / 738
g ≈ $4
Now, substituting the value of 'g' back into Eugene's equation:
18h + 6($4) = $150
18h + $24 = $150
18h = $150 - $24
18h = $126
h = $126 / 18
h ≈ $7
Therefore, the cost of one hosta is approximately $7 and the cost of one geranium is approximately $4.
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In a video game, the chance of rain each day is always 30%. At the beginning of each day in the video game, the computer generates a random integer between 1 and 50. Explain how you could use this number to simulate the weather in the video game.,
Answers
Answer:
I would divide 50 by 4 (Because there are usually 4 weather conditions in game) and whichever the number is closest to it would pick that weather condition
PLS HELP I WILL MARK BRAINILEST
Answers
Answer:
Let's assume the original price of the stock was x.
When the company announced it overestimated demand, the stock price fell by 40%.
So, the new price of the stock after the first decline was:
x - 0.4x = 0.6x
A few weeks later, when the seats were recalled, the stock price fell again by 60% from the new lower price of 0.6x.
So, the new price of the stock after the second decline was:
0.6x - 0.6(0.6x) = 0.24x
Given that the current stock price is $2.40, we can set up the equation:
0.24x = 2.40
Solving for x, we get:
x = 10
Therefore, the stock was originally selling for $10.
1000000 in standard form
Answers
Answer:
1000000 = 10⁶
Step-by-step explanation:
There are 6 zeroes in 1000000, so to convert it to its standard form we must take 6 as the exponent = 10⁶
What is greater 1.0275 or 1.029
Answers
Answer:
1.029 is greater than 1.0275
Step-by-step explanation:
Answer:
1.029
Step-by-step explanation:
What is greater 1.0275 or 1.029
.027 < .029
So, 1.029 is greater.
Find the length of side X in simple radical form with a rational denominator
Answers
The length of side X in simple radical form with a rational denominator is 25/√3.
What is a 30-60-90 triangle?In Mathematics and Geometry, a 30-60-90 triangle is also referred to as a special right-angled triangle and it can be defined as a type of right-angled triangle whose angles are in the ratio 1:2:3 and the side lengths are in the ratio 1:√3:2.
This ultimately implies that, the length of the hypotenuse of a 30-60-90 triangle is double (twice) the length of the shorter leg (adjacent side), and the length of the longer leg (opposite side) of a 30-60-90 triangle is √3 times the length of the shorter leg (adjacent side):
Adjacent side = 5/√3
Hypotenuse, x = 5 × 5/√3
Hypotenuse, x = 25/√3.
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Missing information:
The question is incomplete and the complete question is shown in the attached picture.
Plz help me I only have 5 minutes will mark brainliest
Answers
Answer:
THE ANSWER IS B explanation:
The answer is be by isolating the variable and by using the key words in the question to find out what it is.
A data set includes weights of garbage discarded in one week from 62 different households. The paired weights of paper and glass were used to obtain the results shown to the right. Is there sufficient evidence to support the claim that there is a linear correlation between weights of discarded paper and glass? Use a significance level of alpha equals 0.05. correlation matrix: Variables Paper Glass Paper 1 0.1853 Glass 0.1853
Answers
Answer:
Because the absolute value of the test statistic is less than the positive critical value, there is not enough evidence to support the claim that there is a linear correlation between the weights of discarded paper and glass for a significance level of α = 0.05.
Step-by-step explanation:
The correlation matrix provided is:
Variables Paper Glass
Paper 1 0.1853
Glass 0.1853 1
Te hypothesis for the test is:
H₀: ρ = 0 vs. H₀: ρ ≠ 0
The test statistic is:
r = 0.1853 ≈ 0.185
As the alternate hypothesis does not specifies the direction of the test, the test is two tailed.
The critical value for the two-tailed test is:
\(r_{\alpha/2, (n-2)}=r_{0.05/2, (62-2)}=r_{0.05/2, 60}=0.250\)
The conclusion is:
Because the absolute value of the test statistic is less than the positive critical value, there is not enough evidence to support the claim that there is a linear correlation between the weights of discarded paper and glass for a significance level of α = 0.05.
2, 4, 12, 48, 240
Is is geometric, arithmetic, or neither ?
Answers
Name
Date
6 M1 TE Lesson 24
EXIT
TICKET
24
A giant jellyfish weighs 440 pounds. If 95% of the jellyfish's weight is water, how many pounds of the
jellyfish's weight is water? Justify your answer.
Answers
The pounds of the jellyfish's weight in water is 418
How to calculate how many pounds of the jellyfish's weight is water ?A finite collection of symbols that are properly created in line with context-dependent criteria is referred to as an expression, sometimes known as a mathematical expression.
An expression in mathematics is made up of numbers, variables, and functions (such as addition, subtraction, multiplication or division etc.) You can think of expressions as being comparable to phrases.
Three categories of expressions exist:
There can only be one possible mathematical value from a mathematical expression.
A character expression results in a single character value when evaluated.
A logical or relational expression yields only one logical value upon evaluation.
Given ,
pound = 440
jelly fish weight = 440*95/100
= 418
Therefore The pounds of the jellyfish's weight in water is 418
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If U = { 1 , 3 , 5 , 9 , 11 , 13 } , then which of the following are subsets of U ?
B = { 2 , 4 }
A = { 0 }
C = { 1 , 9 , 5 , 13 }
D = { 5 , 11 , 1 }
E = { 2 , 3 , 4 , 5 }
Answers
Answer:
c=(1,9,5,13)
D={5,11,1)
The set that represents the subset of the set U will be {1, 9, 5, 13} and {5, 11, 1}. Then the correct option is C and D.
What are Sets?Sets are groups of clearly specified components. The number of items in a finite set is denoted by a curly bracket.
If every member of set A is also a component of set B, then set B is a superset of set A, and set A is a subset of set B. A and B might be equal; if they are not, then A is a legitimate subset of B. Include refers to the property that one set is a subset of some other.
The set is given below.
U = {1, 3, 5, 9, 11, 13}
Let's check all the options, then we have
A = {0}, the set does not have an 0 number. So, it is not a subset.
B = {2, 4}, the set does not have an even number. So, it is not a subset.
C = {1, 9, 5, 13}, the set has an odd number. So, it is a subset.
D = {5, 11, 1}, the set has an odd number. So, it is a subset.
E = {2, 3, 4, 5}, the set does not have an even number. So, it is not a subset.
The set that represents the subset of the set U will be {1, 9, 5, 13} and {5, 11, 1}. Then the correct option is C and D.
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What is the mode of this data set?
{4, 15, 6, 11, 7, 4, 3, 14}
Answers
Answer:
4
Step-by-step explanation:
A mode is the number having the highest frequency, that is, the number which occurs the most times. (The number which occurs the most here is 4, there are two 4s. You only have one of the rest of the numbers.)
If a bag contains 16 red, 4 yellow, 20 blue, and eight white balloons, what is the part to whole ratio of red balloons to all balloons?
Answers
Answer: 1:3
Step-by-step explanation:
(add) 16 + 4 + 20, + 8 = 48.
Then simplify 16:48 = 2:6 = 1:3
Hope this helped, have a great day/night!
~IFoundJiminsLostJams~
(Click on the picture, I will give Brainliest!)
Answers
Answer:
A is at 1 1/8
B is at 2 3/8
C is at 3 4/8 or 3 1/2
D is at 4 3/8
Put E on the last mark before the 5
Step-by-step explanation:
construct a venn diagram illustrating the sets below.
U = {1,2,3,4,5,6,7,8,9}
Y={1,3,4,6}
Z={1,4,8}
Change the Venn diagram if needed
Answers
The Venn Diagram for these given sets is graphed at the end of the answer.
What is a Venn Diagram?A Venn Diagram uses circles to show if elements belong to one set, or multiple sets, in the intersection.
For this problem, we have that:
Elements 1 and 4 belong to the intersection of sets Y and Z.Elements 3 and 6 belong only to set Y.Element 8 belongs only to set Z.The remaining elements belong only to the universal set U.The Venn Diagram showing this is inserted at the end of the answer. There are a two erasers marks because of typing mistakes on my part.
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Answer:
Step-by-step explanation:
The area of a rectangular shaped pool is 64 squared meters. The width is 9 meters. Write and solve an equation to determine the length of the pool. Show work.
Answers
Answer:
7.11
Step-by-step explanation: Area=lengthxwdth
64=lengthx9
64/9=length
7.11=length
there are 6 glass bottles and eight plastic bottles on a rack. I f one is chosen at random, what is the probability of picking a glass bottle? Which simulation can be used to represent this situation
Answers
Answer:
6:8
Step-by-step explanation:
6 is the ratio of glass bottles and 8 is the plastic or you can put 3:4 because you divide the number b 2
Ms.Johnson walks at a rate of 2 miles per hour so many miles does she walk in 1 hour?
Answers
ANSWER
2 miles
EXPLANATION
The rate is 2 miles per hour. This means that in 1 hour she walks 2 miles.
The volume of a cube that is 2.9 x 5 x 4
Answers
The volume of the cuboid is 58 cubic units.
What is a cuboid?A cuboid is a 3 dimensional figure that has six rectangular faces. So that the volume of a cuboid can be determined by;
volume of cuboid = length x width x height
From the given question, we have;
the volume of a cuboid that is 2.9 x 5 x 4 can be determined as follows;
volume of cuboid = length x width x height
= 2.9 x 5 x 4
= 58
The volume of the cuboid with the given dimension is 58 cubic units.
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Find the standard deviation of the sampling distribution of sample means using the given information. Round to one decimal place, if necessary. μ = 64 and o = 12; n = 9
Answers
The standard deviation of the data sample is 2.55.
What is the standard deviation of the data sample?The standard deviation of the data sample is calculated by applying the following formula;
S.D = √ (x - μ)²/(n - 1)
where;
μ is the mean of the distributionx is the sample datan is the number of sample dataThe given parameters;
mean, μ = 64
x, = 12
number of samples = 9
The standard deviation of the data sample is calculated as;
S.D = √ (12 - 64)²/(9 - 1)
S.D = 2.55
Thus, the standard deviation of the data sample is calculated by applying the formula for standard deviation.
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How do I do this math problem I’m kinda lazy
Answers
17x-12<90
+12 +12
—————
17x<102
Divide by 17 on both sides
17x
— 17 cancels out leaving you with just x.
17
102 divided by 17 is 6.
X<6
Graph 6 on the number line like this:
6(open circle) with arrow like this:
<————-
<————-6
Does anyone know how to do this? Please help!
Answers
So that would make the formula: (3.14)R^2-(3.14)r^2 = A
The only unknown variables that you need to find are the radii of the two circles
The smaller circle:
You are given the diameter, and the diameter is 1/2 the radius,
so r= 1/2(11.25) = 5.625
The larger circle:
You are given the width, which is the total added onto the diameter of the smaller circle so:
(11.25+3.75)/2=7.5
and now that you know R, you can plug into the equation found at the start: (3.14)R^2-(3.14)r^2 = A
(3.14)(7.5^2)-(3.14)(5.625^2)=A
A=176.71-99.35
A=77.36 ft^2
Use the coordinates of the labeled point to find the point-slope equation of
the line.
A. y-5=-3(x+3)
B.y-3-(x+5)
C. y + 5 = 3(x+3)
D. y + 5 = -3(x-3)
(3,-5)
Answers
By using the coordinates of the labeled point, the point-slope equation of the line include the following: D. y + 5 = -3(x - 3)
How to determine an equation of this line?In Mathematics and Geometry, the point-slope form of a straight line can be calculated by using the following mathematical equation (formula):
y - y₁ = m(x - x₁)
Where:
x and y represent the data points.m represent the slope.0 5 2 -2
First of all, we would determine the slope of this line;
Slope (m) = (y₂ - y₁)/(x₂ - x₁)
Slope (m) = (4 + 5)/(0 - 3)
Slope (m) = -9/3
Slope (m) = -3
At data point (3, -5) and a slope of -3, a linear equation for this line can be calculated by using the point-slope form as follows:
y - y₁ = m(x - x₁)
y - (-5) = 3(x - 3)
y + 5 = -3(x - 3)
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Missing information:
The question is incomplete and the complete question is shown in the attached picture.
PLEASE HELP ME !!! ASAP PLS!!!
Answers
Answer:
AI and AJ
Step-by-step explanation:
Opposite rays start at the same point (A) and go in the complete opposite direction
What’s is 27 divided by 5
Answers
Answer:
Step-by-step explanation:
5.4
Answer:
27/5 = 5.4
Step-by-step explanation:
You can use long division
5.4
-----------
5| 27
25
---------------
20
-20
-------------------
0
Dana is making bean soup. The recipe she has makes 10 servings and uses
3/4
of a pound of beans. How many total pounds of beans does she need to make 5 servings of soup?
She has
1/16
of a pound of beans in one container and
1/4
of a pound of beans in another container. How many more pounds of beans does Dana need to make the 5 servings of soup? Show your work or explain your answer.
Answers
Please help with this
Answers
The sale price of the item when displayed on sales costs $8.75 based on the stated original price and percentage discount offered.
The formula to calculate sale price of the item according to discount and original price will be -
Sale price = 25% × original price
Keep the value of original price in the formula to find the sale price
Sale price = 25% × 35
Performing multiplication and division by solving the percentage on Right Hand Side of the equation to find the value of sale price of the item
Sale price = 8.75
Hence, the item on sale costs $8.75.
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