Question

Based on previous studies it is estimated 1.33% of adult Americans believe they have been abducted...

Based on previous studies it is estimated 1.33% of adult Americans believe they have been abducted by Aliens. Penelope wants to interview one of these people. Assuming independence,

A. What is the average number of people she must interview to find one self-described abductee? Express your answer to two decimals.

B. What is the standard deviation of the number of people she must interview? Express your answer to two decimals. Express your answer as a number to two decimals.

C. What is the probability she will have to interview less than or equal to 72? Express your answer as a percentage to two decimals.

Math   Statistics-And-Probability   
0 0
Add a commentTranscribed image text
Next >

Homework Answers

Answer #1

A.

Let X be the number of people she must interview to find one self-described abductee.

Then X ~ Geometric(p = 1.33/100)

Average number of people she must interview to find one self-described abductee = 1/p

= 100/1.33

= 75.19

B.

Standard deviation of the number of people she must interview =

=

= 74.69

C.

Probability she will have to interview less than or equal to 72 = P(X 72)

(Using CDF of Geometric distribution)

= 0.6186

= 61.86%

0 0
Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Log In

Sign Up

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
A Gallup poll conducted in November 2010 found that 493 of 1050 adult Americans believe it...
A Gallup poll conducted in November 2010 found that 493 of 1050 adult Americans believe it is the responsibility of the federal government to make sure all Americans have healthcare coverage. Use Minitab Express to construct the following confidence intervals.  Report your answers as decimals (not percents) rounded to three decimal places, where applicable. a) We are 95% confident that the proportion of all adult Americans who believe it is the responsibility of the federal government to make sure all Americans...
From previous studies, it is concluded that 33% of workers got their job through networking. A...
From previous studies, it is concluded that 33% of workers got their job through networking. A researcher claims it has decreased and decides to survey 100 adults. Test the researcher's claim at the α=0.05α=0.05 significance level. Preliminary: Is it safe to assume that n≤0.05n≤0.05 of all subjects in the population? Yes No Verify nˆp(1−ˆp)≥10.np^(1-p^)≥10. Round your answer to one decimal place. nˆp(1−ˆp)=np^(1-p^)= Test the claim: Express the null and alternative hypotheses in symbolic form for this claim.   H0:H0:   Ha:Ha:   Use...
The General Social Survey was completed for a simple random sample of 977 adult Americans in...
The General Social Survey was completed for a simple random sample of 977 adult Americans in 2004. One of the questions asked: “In general, how do you feel about your time—would you say that you always feel rushed even to do things you only have to do, only sometimes feel rushed, or almost never feel rushed?” 31.1% of respondents reported that they “always” feel rushed. Researchers claim that one-third of all Americans would answer “always.” Test this claim at a...
A poll done for an organization found that 13% of Americans have seen or sensed the...
A poll done for an organization found that 13% of Americans have seen or sensed the presence of an angel. A contingent doubts that the percent is really that high. It conducts its own survey. Out of 78 Americans surveyed, only two had seen or sensed the presence of an angel. As a result of the contingent's survey, would you agree with the organization's poll? Conduct a hypothesis test at the 5% level. Note: If you are using a Student's...
From previous studies, it has been generally believed that Northern Hemisphere icebergs have a mean depth...
From previous studies, it has been generally believed that Northern Hemisphere icebergs have a mean depth of 270 meters. An environmentalist has suggested that global warming has caused icebergs to have greater depth. A team of scientists visiting the Northern Hemisphere observed a random sample of 41 icebergs. The depth of the base of the iceberg below the surface was carefully measured for each. The sample mean and standard deviation were calculated to be 276 meters and 20 meters respectively....
From previous studies, it has been generally believed that Northern Hemisphere icebergs have a mean depth...
From previous studies, it has been generally believed that Northern Hemisphere icebergs have a mean depth of 270 meters. An environmentalist has suggested that global warming has caused icebergs to have greater depth. A team of scientists visiting the Northern Hemisphere observed a random sample of 41 icebergs. The depth of the base of the iceberg below the surface was carefully measured for each. The sample mean and standard deviation were calculated to be 276 meters and 20 meters respectively....
Close Friends: The 2004 General Social Survey (GSS) interviewed a random sample of adult Americans. For...
Close Friends: The 2004 General Social Survey (GSS) interviewed a random sample of adult Americans. For one question the interviewer asked: “From time to time, most people discuss important matters with other people. Looking back over the last six months – who are the people with whom you discussed matters important to you? Just tell me their first names or initials.” The interviewer then recorded how many names or initials the respondent mentioned. Results are tallied in the following table:...
Past studies have indicated that the percentage of smokers was estimated to be about 30%. Given...
Past studies have indicated that the percentage of smokers was estimated to be about 30%. Given the new smoking cessation programs that have been implemented, you now believe that the percentage of smokers has reduced. You randomly surveyed 2361 people and found that 664 smoke. Use a 0.05 significance level to test the claim that the percentage of smokers has reduced. a) Identify the null and alternative hypotheses? H0H0: Select an answer p = p ≠ p < p >...
From previous studies, it has been generally believed that Northern Hemisphere icebergs have a mean depth...
From previous studies, it has been generally believed that Northern Hemisphere icebergs have a mean depth of 270 meters. An environmentalist has suggested that global warming has caused icebergs to have greater depth. A team of scientists visiting the Northern Hemisphere observed a random sample of 41 icebergs. The depth of the base of the iceberg below the surface was carefully measured for each. The sample mean and standard deviation were calculated to be 276 meters and 20 meters respectively....
The National Center for Health Statistics reports that 25% of all Americans between the ages of...
The National Center for Health Statistics reports that 25% of all Americans between the ages of 65 and 74 have a chronic heart condition. Suppose you live in a state where the environment is conducive to good health and low stress and you believe the conditions in your state promote healthy hearts. To investigate this theory, you conduct a random telephone survey of 25 persons 65 to 74 years of age in your state. *(Round your answer to 2 decimal...
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT