Consider the following information about travelers on vacation: 40% check work email, 30% use a cell phone to stay connected to work, 35% bring a laptop with them, 16% both check work email and use a cell phone to stay connected, and 42.8% neither check work email nor use a cell phone to stay connected nor bring a laptop. In addition, 88 out of every 100 who bring a laptop also check work email, and 70 out of every 100 who use a cell phone to stay connected also bring a laptop.
a. What is the probability that a randomly selected traveler who checks work email also uses a cell phone to stay connected?
b. What is the probability that someone who brings a laptop on vacation also uses a cell phone to stay connected?
c. If the randomly selected traveler checked work email and brought a laptop, what is the probability that he/she uses a cell phone to stay connected?
Answers
Answer:
a. 0.4
b. 0.6
c. 0.6493
Step-by-step explanation:
p(checking work email) = p(A) = 0.40
p(staying connected with cell phone) = p(B) = 0.30
p(having laptop) = p(c) = 0.35
p(checking work mail and staying connected with cell phone) = p(AnB) = 0.16
p(neither A,B or C) = p(AuBuC)
= 1-42.8%
= 0.572
p(A|C) = 88% = 0.88
p(C|B) = 70% = 0.7
a. What is the probability that a randomly selected traveler who checks work email also uses a cell phone to stay connected?
p(B|A) = p(AnB)/p(A)
= 0.16/0.4
= 0.4
b. What is the probability that someone who brings a laptop on vacation also uses a cell phone to stay connected?
p(B|C) = P(C|B)p(B)/p(C)
= 0.7x0.3/0.35
= 0.6
c. If the randomly selected traveler checked work email and brought a laptop, what is the probability that he/she uses a cell phone to stay connected?
p(A|BnC)
= P(BnAnC)/p(AnC)
= p(AnC) = p(A|C).p(C)
= 0.88x0.35
= 0.308
p(AnBnC) = p(AuBuC)-p(a)-p(b)+ p(AnB)+p(AnC)+p(BnC)
p(BnC) = 0.7x0.3
= 0.21
p(AnBnC) = 0.572-0.4-0.3-0.35+0.16+0.308+0.21
= 0.2
p(A|BnC) = 0.2/0.308
= 0.6493
Answer:
which ever one you want its an opinion answer.
Step-by-step explanation:
Related Questions
If you DO NOT KNOW then DO NOT ANSWER
Answers
Answer:
Answer = a
i know this because my braniac of a brother told me so.He has never gotten an answer wrong
suppose a statistician wishes to test whether a large number of observations follows an exponential distribution with parameter . he wishes to test this hypothesis exactly, and intends that if the observations follow an exponential distribution with a different parameter, the test should reject the null hypothesis given sufficiently many observations. in addition, he wants to have a numeric statistic that he could report and does not want the procedure to involve rounding off observation numbers into bins. which of the following goodness-of-fit tests would be the most appropriate for this purpose? Chi-squared Test O Kolmogorov-Smirnov Test O Kolmogorov-Liliefors Test Quantile-quantile plots
Answers
This distribution has no shape parameter as it has only one shape, (i.e., the exponential, and the only parameter it has is the failure rate, \lambda \,\!).
How do you find the parameter of an exponential distribution in R?The exponential distribution can be simulated in R with rexp(n,λ) where λ is the rate parameter. The mean or expected value of an exponential distribution is 1/λ and the standard deviation is also 1/λ. The variance of an exponential distribution is given by 1/λ2.
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Solve for x: -4 - 4(2x + 1) = -4(2 + 2x)
Answers
Answer:
x = Infinite amount of solutions
Step-by-step explanation:
Step 1: Distribute
-4 - 8x - 4 = -8 - 8x
Step 2: Combine like terms
-8x - 8 = -8 - 8x
From here, we should see that both are equal to each other and if we graph them, they would be the same line. Therefore, any value of x works so our answer is infinite amount of solutions.
Answer: Infinite amount of solutions (-infinity, infinity)
Step-by-step explanation:
Hope this helped
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Is the following a statistical question?
How expensive are homes in your neighborhood?
yes
No
Answers
Answer:
YES
Step-by-step explanation:
A statistical question is a question that can be answered by collecting data that vary. For example, “How old am I?” is not a statistical question, but “How old are the students in my school?” is a statistical question.
Kelly rolled scores of 254, 202, 284, 269, 151, 258 and 202 in a recent tournament. What was the mean, median and mode of her scores?
Answers
Answer:
See below!
Step-by-step explanation:
Data:254, 202, 284, 269, 151, 258, 202
Mean:The sum of data divided by the number of data is called mean.Mean of the data:
\(\displaystyle Mean= \frac{Sum \ of \ data}{number \ of \ data} \\\\Mean = \frac{254+202+284+269+151+258+202}{7} \\\\Mean=\frac{1620}{7} \\\\\boxed{Mean = 231.4}\)
Median:The middle value of the data is median.Median of data:
Arrange the data in increasing order.
151, 202, 202, 254, 258, 269, 284
The middle value = 254
So,
Median = 254Mode:The frequently occurring value in the data is known as mode.Mode in data:
The mode, here, is 202. (occurring 2 times.)
So,
Mode = 2\(\rule[225]{225}{2}\)
Monty works for a company that distributes multiple alcoholic beverages in the United States. Due to multiple events going on around the world, Monty has started wondering about the perceived home location of certain spirits. He takes a random sample of 135 people and find that 82 of them say that “Smirnoff” is produced in Russia. Monty takes a second random sample of 127 people and find that 74 of them say that “Stoli” is produced in Russia. At the .05 level of significance, is there a difference in the proportion of people who think Smirnoff is produced in Russia and the proportion of people who think Stoli is produced in Russia?
Answers
There is no evidence to reject the claim that there a difference in the proportion of people who think Red label is produced in Russia.
How to explain the critical value?It should be noted that we want to test the claim at 5% level of significance. The z critical value at 5% level of significance for two tailed test is 1.96.
The test statistic is 0.5. Since the z critical value is greater than the test statistic we do not reject the null hypothesis at 5% level of significance.
Therefore, we do not have enough evidence to reject the claim that there a difference in the proportion of people who think Red label is produced in Russia and the proportion of people who think Hennessy is produced in Russia.
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The table shows the input, x, and output, y, relationship for a function.
Which function rule describes the relationship between x and y?
f(x)=13x−1
f(x)=−13x−1
f(x)=3x+1
f(x)=3x−1
Answers
f(x) = 1/3x -1
I am not sure if it is right but I am 90% sure
Answer: f(x)=1/3x-1
Step-by-step explanation:
attached is full test answers
hope this can help someone
Correct answer gets brainliest
Answers
Answer:
D. its a two dimensional object
Answer:
A. It is a polygon
C. It is a one-dimensional object
The shape is a polygon in two dimensions since a polygon must have at least three straight sides.
Sarah will ship packages for anyone. She charges $6 for her services and then $2.75 per item. How much would she charge to ship 8 items
Answers
In a triangle with angles measuring a, b and c degrees, the mean of b and c is a. What is the
value of a?
Answers
Answer:
60
Step-by-step explanation:
\(a+b+c=180\\\frac{b+c}{2}=a \rightarrow b+c=2a\\\\a+2a=180\\3a=180\\a=60\)
Therefore, the value of a is 60 degrees
What is the domain of f(x)? {x | 1 < x < 5} {x | 1 < x < 5} {y | −4 < y < 1} {y | −4 < y < 1}
Answers
The domain of function f(x) is given as follows:
{x | 1 ≤ x < 5}.
How to define the domain and range of a function?The domain of a function is defined as the set containing all possible input values of the function, that is, all the values assumed by the independent variable x in the context of the function.The range of a function is defined as the set containing all possible output values of the function, that is, all the values assumed by the dependent variable y in the context of the function.The values of x of the function given at the end of the answer are as follows:
Starts at x = 1(closed interval).Ends at x = 5 (open interval).Hence the domain is given as follows:
{x | 1 ≤ x < 5}.
Missing InformationThe function is given by the image presented at the end of the answer.
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Answer:
A - {x | 1 < x < 5}
Step-by-step explanation:
took the Quiz
Express the set shown below in roster form. {x | x is a natural number less than -2}
Answers
Given:
The set is:
\(\{x|x\text{ is a natural number less than }-2\}\)
To find:
The raster form of the given set.
Solution:
We know that, natural numbers are all positive integers.
Natural numbers: 1, 2, 3, 4,... .
The given set is:
\(\{x|x\text{ is a natural number less than }-2\}\)
Here, x is a natural number and it is less than -2, which is not possible.
Since all natural numbers are greater than or equal to 1, therefore the given set has no element.
\(\{x|x\text{ is a natural number less than }-2=\phi\)
Therefore, the roaster form of the given set is \(\phi\) or \(\{\ \}\).
88x49 please help me I’m dying
It’s too much work
Answers
Answer:
4.312 is the answer
Step-by-step explanation:
multiplication
Answer:
4312
Step-by-step explanation:
You use a calculator:)
88 x 49 = 4312
check: 4312 divided by 49 = 88
have a nice night
problem solving you go on a hayride to take photographs of landmarks. the map shows your path and two landmarks. each unit in the coordinate plane corresponds to 10 yards. approximate your minimum distance from the giant pumpkin. if necessary, round your answer to the nearest tenth.
Answers
The minimum distance from the giant pumpkin is 8.9 yards.
We will use the minimum distance formula between a line and a point to obtain the distance in this case.
A linear function is given according to the standard notation by:
Ax+By+C=0
A point with 'x' and 'y' coordinates are given by:
P(x*,y*)
The formula to find the shortest distance between a point and a line is denoted by the formula:
d=|Ax*+By*+C|/√(A²+B²)
In this issue, the path's line includes:
When x = 0, and y = 0, the intercept is 0.
0.5 slope means that when x rises by 4, y rises by 2.
Thus, y=1/2x
-1/2x+y=0
or, -x+2y=0
The coefficients of the line are:
A=-1 and B=2
Coordinates of the giant pumpkin is (x*,y*)=(-4,-3)
Therefore, the minimum distance is:
d=|(-1)(-4)+2(-3)|/√5
or,d=2/√5
or, d=0.89 units
We know, 1 unit=10 yards
or, 0.89 units=8.9 yards
Thus, the minimum distance between a point and a line is 8.9 yards.
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Use what you know about decomposing fractions to write 11/10 as a mixed number
Answers
Answer:
11/10 as a mixed number is 1 and 1/10
Step-by-step explanation:
10 out of 10 is 1 but there is still another tenth that needs to be added so it is 1 and one tenth.
Evaulate u^2-4u+2 when u=-2
Answers
You can just replace \(u\) with 2:
\(2^2 - 4\times2 + 2 = 4 - 8 + 2 = \boxed{-2}\)
Alternatively, you can complete the square.
\(u^2 - 4u + 2 = u^2 - 4u + 4 - 2 = (u-2)^2 - 2\)
When \(u=2\), the quadratic term vanishes and we again get -2.
A bag contains 8items of which two are deffective.A man selects 3 items
Answers
When a man selects 3 items, the probability that they're all defective will be 1/64.
How to calculate the probability?Probability is the occurence of likely events. It is the area of mathematics that deals with numerical estimates of the likelihood that an event will occur or that a statement is true. An event's probability is a number between 0 and 1.
From the information, bag contains 8items of which two are deffective. The probability of a defective item is:
= 2/8
= 1/4
When a man selects 3 items, the probability that they're all defective will be:
= (1/4)³
= 1 / 64
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Complete question
A bag contains 8items of which two are deffective. A man selects 3 items, what is the probability that they're all defective?
Suggest an alternative method we can use to determine the equivalence point if you could not use a colorimetric indicator.
Answers
If a colorimetric indicator is not available, an alternative method for determining the equivalence point in a titration is to use a pH meter.
A pH meter is a device that measures the acidity or basicity of a solution and gives a numerical value for the pH.
In an acid-base titration, the pH of the solution changes as the titrant is added to the analyte. Initially, the pH is determined by the analyte, which is usually acidic. As the titrant is added, it reacts with the analyte to form a neutral or basic solution, and the pH increases. At the equivalence point, all of the analyte has reacted with the titrant.
To use a pH meter to determine the equivalence point, the pH of the solution is monitored as the titrant is added. Initially, the pH is low due to the acidity of the analyte. As the titrant is added, the pH increases, and a sharp increase in pH is observed at the equivalence point.
The advantage of using a pH meter to determine the equivalence point is that it provides a more precise and accurate method than visual indicators, which can be affected by factors such as color blindness or variations in lighting conditions. Additionally, a pH meter can be used for both acid-base and redox titrations.
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Please I need an answer
Answers
Answer:
D. No x-intercept, y-intercept 9
Step-by-step explanation:
The line intercepts at (0, 9)
convert the percent to a decimal: according to the local weather report, the probability of rain in boston on february 9 is 78%
Answers
Convert the percent to a decimal: according to the local weather report, the probability of rain in Boston on February 9 is 78% is 0.78%.
What is probability?Probability is the measure of how likely an event is to occur. It is expressed as a number between 0 and 1, where 0 indicates impossibility and 1 indicates certainty. Probability theory is used to study random phenomena, such as the outcome of a coin toss or the results of an election. It is also used to make predictions about the future, such as whether it will rain tomorrow.
The probability of choosing a student selected for the AP math class is 13/40 (6 girls and 7 boys selected for the AP math class). Therefore, the probability of choosing a boy or a student selected for the AP math class is 32/40 (19 boys plus 13 students selected for the AP math class out of 40 students).
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The complete question is: According to the local weather report, the probability of rain in Boston on February 9 is 78%. What is 78% converted to a decimal?
Who can answer this question for me please
Answers
Answer:
B
Step-by-step explanation:
you run for 6 miles per hour for 27 minutes how far did u run
Answers
Answer:
If you ran for 27 minutes at 6 miles per hour, you would have run 2.7 miles.
Step-by-step explanation:
The Step-by-step explanation is, 6 miles per hour = 1 mile per 10 minutes. Therefore in 27 minutes, you would have run 2.7 miles (27 minutes / 10 minutes = 2.7 miles).
Can you answer these questions?
Answers
Answer:
hope this answer helps you dear....take care!
Compute the radius of a circle with a circumference of 255 inches. Use 3.14 for pi
Answers
Answer:
the answer is 40 hope this helps you
HELP PLSS. WILL MARK BRILLIANTEST
Answers
Answer: B
Step-by-step explanation:
please help!
this is due by tonight
Answers
Answer:
6
Step-by-step explanation:
The two triangles are similar which means the the two length is parallel
.°., the Length of the smaller triangle=6
283838383838382828 + 838383838
Answers
Answer:2.8383838e+17
Step-by-step explanation:
Answer:
2.8383838e+17
Step-by-step explanation:
283838383838382828 + 838383838=2.8383838e+17
f(x) = 3x² + 9x – 16
Find f(-8)
Answers
Answer: 104
Step-by-step explanation:
\(f(-8)\) represents \(f(x)\) evaluated at \(x=-8\).
\(f(-8)=3(-8)^2 +9(-8)-16\\\\=192-72-16\\\\=120-16\\\\=104\)
find the inverse of each equation
Answers
The inverse of the equation is determined as \(y = \log_{6}(-3x)\).
option D is the correct answer.
What is the inverse of the equation?The inverse of the equation is calculated by applying the following method;
The given equation;
y = - 6ˣ/3
The inverse of the equation is calculated as;
multiply through by 3
\(-3x = 6^y\)
Take the logarithm of both sides of the equation with base -6:
\(\log_{6}(-3x) = y\)
Finally, replace y with x to obtain the inverse equation as follows;
\(y = \log_{6}(-3x)\)
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The amount of a radioactive material changes with time. The table below shows the amount of radioactive material (t) left after time t: t(hours) 0 1 2 f(t) 100 50 25 Which exponential function best represents the relationship between f(t) and t?
Answers
The exponential function that best represents the relationship between f(t) and t is \(f(t) =100(0.5)^t\)
How to determine the exponential function that best represents the relationship between f(t) and t?From the question, we have the following parameters that can be used in our computation:
t f(t)
0 100
1 50
2 25
From the above, we have the following
Initial value, a = 100
Rate, b = 50/100
Evaluate
b = 0.5
The function is represented as
\(f(t) =ab^t\)
So, we have
\(f(t) =100(0.5)^t\)
Hence, the exponential function that best represents the relationship between f(t) and t is \(f(t) =100(0.5)^t\)
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