# Answers.docx - Assignment 15 5 2 HW

**Q1**

A Gallup poll of 1236 adults showed that 12% of the respondents believe that it is bad luck to walk under a ladder. Consider the probability that among 30 randomly selected people from the 1236 who were polled, there are at least 2 who have that belief. Given that the subjects surveyed were selected without replacement, the events are not independent. Can the probability be found by using the binomial probability formula? Why or why not? Choose the correct answer below.

A. Yes. There are a fixed number of selections that are independent, can be classified into two categories, and the probability of success remains the same. B. No. The selections are not independent, and the 5% guideline is not met. C. No. The selections are not independent. D. Yes. Although the selections are not independent, they can be treated as being independent by applying the 5% guideline.

Q2 Determine whether the following procedure results in a binomial distribution or a distribution that can be treated as binomial (by applying the 5% guideline for cumbersome calculations). If it is not binomial and cannot be treated as binomial, identify at least one requirement that is not satisfied. Surveying 50 homemakers and recording how satisfied they are with their toaster on a scale from 1 to 5 Choose the correct answer below. A.It is binomial or can be treated as binomial. It is binomial or can be treated as binomial.It is binomial or can be treated as binomial. B. It is not binomial because the probability of success does not remain the same in all trials. C. It is not binomial because there are more than two possible outcomes and the trials are not independent. D.It is not binomial because there are more than two possible outcomes. Q3 etermine whether the following procedure results in a binomial distribution or a distribution that can be treated as binomial (by applying the 5% guideline for cumbersome calculations). If it is not binomial and cannot be treated as binomial, identify at least one requirement that is not satisfied. The Senate members of the 116th Congress include 75 males and 25 females. Forty different senators are randomly selected without replacement, and the gender of each selected senator is recorded. Choose the correct answer below. A. It is binomial or can be treated as binomial. B. It is not binomial because the experiment is not performed a fixed number of times. C. It is not binomial because the selections are not independent. (The 5% guideline for cumbersome calculations should not be used.) D. It is not binomial because there are more than two mutually exclusive outcomes for each trial.

## Assignment 15 5 2 HW

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Q 1: D. Yes. Although the selections are not independent, they can be treated as being independent by applying the 5% guideline.

Q2: D.It is not binomial because there are more than two possible outcomes.

Q3: C. It is not binomial because the selections are not independent. (The 5% guideline for cumbersome calculations should not be used.)

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A Gallup poll of 1236 adults showed that 12% of the respondents believe that it is bad luck to walk under a ladder. Consider the probability that among 30 randomly selected people from the 1236 who were polled, there are at least 2 who have that belief. Given that the subjects surveyed were selected without replacement, the events are not independent. Can the probability be found by using the binomial probability formula? Why or why not?

Assignment 15 5 2 HW

Unit 2 Discussion: Probability and Probability Distributions

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Unit 2 Discussion: Probability and Probability Distributions