1) Suppose that the number of days an American stays at home due to the coronavirus is N( 60,15). You sample 25 Americans. Find the probability that the average number of days that your 25 stay home . A) is greater than 65 days. B) is within 8 days of the population mean. C) How long would your 25 have to stay at home on the average in order to do more time than 41% of all the other groups of 25 Americans.

MATLAB: An Introduction with Applications
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### Problem Statement

Suppose that the number of days an American stays at home due to the coronavirus follows a normal distribution, \( N(60, 15) \). You sample 25 Americans. Determine the probability that the average number of days that your 25 stay home:

**A)** is greater than 65 days.

**B)** is within 8 days of the population mean.

**C)** How long would your 25 have to stay at home on average in order to exceed 41% of all other groups of 25 Americans?
Transcribed Image Text:### Problem Statement Suppose that the number of days an American stays at home due to the coronavirus follows a normal distribution, \( N(60, 15) \). You sample 25 Americans. Determine the probability that the average number of days that your 25 stay home: **A)** is greater than 65 days. **B)** is within 8 days of the population mean. **C)** How long would your 25 have to stay at home on average in order to exceed 41% of all other groups of 25 Americans?
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Given,mean(μ)=60standard deviation(σ)=15

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