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# Probability Distribution Analysis

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The probability of an adverse reaction to a flu shot is 0.10. Let r be the number of people suffering a reaction from a flu shot that has been given to a group of 5 people.

a. Find P(r) for r = 0, 1, 2, 3, 4, 5
b. What is the expected number of people that will have an adverse reaction to the shot?
c. compute the standard deviation of the probability distribution
d. Find P(2 or less have a reaction)
e. Find P(at least 3 people have a reaction)

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#### Solution Preview

The probability of an adverse reaction to a flu shot is 0.10. Let r be the number of people suffering a reaction from a flu shot that has been given to a group of 5 people.

a. Find P(r) for r = 0, 1, 2, 3, 4, 5

Solution. r follows a binomial distribution ...

#### Solution Summary

This solution provides a detailed, step-by-step explanation of the given probability problem.

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