69% of U.S. adults have very little confidence in newspapers. You randomly select 10 U.S. adults. Find the probability that the number of U.S. adults who have very little confidence in newspapers is (a) exactly five, (b) at least six, and (c) less than four. (a) P(5) = (Round to three decimal places as needed.)

MATLAB: An Introduction with Applications
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**Educational Content: Probability in Statistics**

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**Problem Statement:**

In a recent study, it was found that 69% of U.S. adults have very little confidence in newspapers. If you randomly select 10 U.S. adults, calculate the probability for the following scenarios:

1. **Exactly Five U.S. Adults**: Find the probability that exactly five out of the selected individuals have very little confidence in newspapers.

2. **At Least Six U.S. Adults**: Find the probability that at least six of the selected individuals have very little confidence in newspapers.

3. **Less Than Four U.S. Adults**: Find the probability that fewer than four of the selected individuals have very little confidence in newspapers.

*For each probability calculation, round your answer to three decimal places.*

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**Additional Notes:**

This problem requires an understanding of the binomial probability distribution, which is used to model the number of successes in a fixed number of independent Bernoulli trials. Here, each trial is the selection of a U.S. adult who either has or does not have very little confidence in newspapers.

**No graphs or diagrams are included.**
Transcribed Image Text:**Educational Content: Probability in Statistics** --- **Problem Statement:** In a recent study, it was found that 69% of U.S. adults have very little confidence in newspapers. If you randomly select 10 U.S. adults, calculate the probability for the following scenarios: 1. **Exactly Five U.S. Adults**: Find the probability that exactly five out of the selected individuals have very little confidence in newspapers. 2. **At Least Six U.S. Adults**: Find the probability that at least six of the selected individuals have very little confidence in newspapers. 3. **Less Than Four U.S. Adults**: Find the probability that fewer than four of the selected individuals have very little confidence in newspapers. *For each probability calculation, round your answer to three decimal places.* --- **Additional Notes:** This problem requires an understanding of the binomial probability distribution, which is used to model the number of successes in a fixed number of independent Bernoulli trials. Here, each trial is the selection of a U.S. adult who either has or does not have very little confidence in newspapers. **No graphs or diagrams are included.**
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