In 100 trials of this​ experiment, we expect about _______ to result in no more than 4 adults who feel the state of morals is poor. ​(Round to the nearest whole number as​ needed.)   ​(e) Find and interpret the probability that more than 14 of those surveyed feel the state of morals is poor. (f) Find and interpret the probability that 12 or 13 believe the state of morals is poor. ​(g) Would it be unusual to find 17 or more adults in the sample who believe the overall state of moral values is​ poor? Why?

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In 100 trials of this​ experiment, we expect about
_______ to result in no more than 4 adults who feel the state of morals is poor.
​(Round to the nearest whole number as​ needed.)
 
​(e) Find and interpret the probability that more than 14 of those surveyed feel the state of morals is poor.
(f) Find and interpret the probability that 12 or 13 believe the state of morals is poor.
​(g) Would it be unusual to find 17 or more adults in the sample who believe the overall state of moral values is​ poor? Why?
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) Explain why this is a binomial experiment. Select all that apply.
C...
A. The experiment is performed until a desired number of successes are reached.
B. There are three mutually exclusive possible outcomes, arriving on-time, arriving early, and arriving late.
C. Each trial depends on the previous trial.
D. The trials are independent.
E. The probability of success is the same for each trial of the experiment.
LYF. The experiment is performed a fixed number of times.
G. There are two mutually exclusive outcomes, success or failure.
H. The probability of success is different for each trial of the experiment.
(b) Using the binomial distribution, determine the values of n and p.
n = 15 (Type an integer or a decimal. Do not round.)
p= .45 (Type an integer or a decimal. Do not round.)
(c) Using the binomial distribution, find and interpret the probability that exactly 9 of those surveyed feel the state of morals is poor.
The probability that exactly 9 of those surveyed feel the state of morals is poor is
(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) Explain why this is a binomial experiment. Select all that apply. C... A. The experiment is performed until a desired number of successes are reached. B. There are three mutually exclusive possible outcomes, arriving on-time, arriving early, and arriving late. C. Each trial depends on the previous trial. D. The trials are independent. E. The probability of success is the same for each trial of the experiment. LYF. The experiment is performed a fixed number of times. G. There are two mutually exclusive outcomes, success or failure. H. The probability of success is different for each trial of the experiment. (b) Using the binomial distribution, determine the values of n and p. n = 15 (Type an integer or a decimal. Do not round.) p= .45 (Type an integer or a decimal. Do not round.) (c) Using the binomial distribution, find and interpret the probability that exactly 9 of those surveyed feel the state of morals is poor. The probability that exactly 9 of those surveyed feel the state of morals is poor is (Round to four decimal places as needed.)
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