In a recent poll, the Gallup Organization found that 45% of adult Americans believe that the overall state of moral values in the United States is poor. If a survey of a random sample of 15 adults in this country is conducted in which they are asked to disclose their feelings on the overall state of moral values, complete parts (a) through (g) below. ☐☐☐☐☐ A. The experiment is performed until a desired number of successes are reached. B. The probability of success is different for each trial of the experiment. C. The probability of success is the same for each trial of the experiment. D. Each trial depends on the previous trial. E. The trials are independent. F. The experiment is performed a fixed number of times. G. There are three mutually exclusive possible outcomes, arriving on-time, arriving early, and arriving late. H. There are two mutually exclusive outcomes, success or failure. (b) Using the binomial distribution, determine the values of n and p. (Type an integer or a decimal. Do not round.) (Type an integer or a decimal. Do not round.) n= p= (c) Using the binomial distribution, find and interpret the probability that exactly 8 of those surveyed feel the state of morals is poor. The probability that exactly 8 of those surveyed feel the state of morals is poor is (Round to four decimal places as needed.)

MATLAB: An Introduction with Applications
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Author:Amos Gilat
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Chapter1: Starting With Matlab
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In a recent poll, the Gallup Organization found that 45% of adult Americans believe that the overall state of moral values in the United States is poor. If a survey of a random sample of 15 adults in this country is conducted in which they are asked to disclose their feelings on the overall state of moral values, complete parts (a) through (g) below.

**(a)** Select all that apply to identify the correct conditions for a binomial experiment:

- A. The experiment is performed until a desired number of successes are reached.
- B. The probability of success is different for each trial of the experiment.
- C. The probability of success is the same for each trial of the experiment.
- D. Each trial depends on the previous trial.
- E. The trials are independent.
- F. The experiment is performed a fixed number of times.
- G. There are three mutually exclusive possible outcomes, arriving on-time, arriving early, and arriving late.
- H. There are two mutually exclusive outcomes, success or failure.

**(b)** Using the binomial distribution, determine the values of \( n \) and \( p \).

- \( n = \) [Enter your value here]
- \( p = \) [Enter your value here]

**(c)** Using the binomial distribution, find and interpret the probability that exactly 8 of those surveyed feel the state of morals is poor.

The probability that exactly 8 of those surveyed feel the state of morals is poor is [Enter your value here]. (Round to four decimal places as needed.)
Transcribed Image Text:In a recent poll, the Gallup Organization found that 45% of adult Americans believe that the overall state of moral values in the United States is poor. If a survey of a random sample of 15 adults in this country is conducted in which they are asked to disclose their feelings on the overall state of moral values, complete parts (a) through (g) below. **(a)** Select all that apply to identify the correct conditions for a binomial experiment: - A. The experiment is performed until a desired number of successes are reached. - B. The probability of success is different for each trial of the experiment. - C. The probability of success is the same for each trial of the experiment. - D. Each trial depends on the previous trial. - E. The trials are independent. - F. The experiment is performed a fixed number of times. - G. There are three mutually exclusive possible outcomes, arriving on-time, arriving early, and arriving late. - H. There are two mutually exclusive outcomes, success or failure. **(b)** Using the binomial distribution, determine the values of \( n \) and \( p \). - \( n = \) [Enter your value here] - \( p = \) [Enter your value here] **(c)** Using the binomial distribution, find and interpret the probability that exactly 8 of those surveyed feel the state of morals is poor. The probability that exactly 8 of those surveyed feel the state of morals is poor is [Enter your value here]. (Round to four decimal places as needed.)
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From the provided information,

45% of adult Americans believe that the overall state of moral values in the United States is poor.

Sample size = 15

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