5.3 Stats HW

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.

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

binomial experiment provided that the following statements are true.

1. The experiment is performed a fixed number of times. Each repetition of the experiment is called a trial.
2. The trials are independent. This means the outcome of one trial will not affect the outcome of the other trials.
3. For each? trial, there are

Determine whether the given procedure results in a binomial distribution. If it is not? binomial, identify the requirements that are not satisfied.
Randomly selecting 200 students and recording how much they like rap music on a scale from 1 to 10

No, because there are more than two possible outcomes.

Determine whether the following probability experiment represents a binomial experiment and explain the reason for your answer.
Three cards are selected from a standard? 52-card deck without replacement. The number of nines selected is recorded.

No, because the trials of the experiment are not independent and the probability of success differs from trial to trial.

Determine whether or not the procedure described below results in a binomial distribution. If it is not? binomial, identify at least one requirement that is not satisfied.
Four hundred different voters in a region with two major political? parties, A and?

No, the trials are not independent and the sample is more than 5% of the population.

If calculations are? time-consuming and if a sample size is no more than? 5% of the size of the? population, the? _______ states to treat the selections as being independent? (even if the selections are technically? dependent).

5% Guideline for Cumbersome Calculations