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Suppose that the proportion of statistics students who are

Suppose that the proportion of statistics students who are sophomores is 20%. We take a random sample of 10 statistics students.

(1) Use the binomial formula to find the probability that the sample contains exactly 2 sophomores.

(2) Use the binomial probability Table B to find the find the probability that the sample contains at least 3 sophomores.

(3) What is the most likely number of sophomores in the sample? Explain.

(4) Find the mean, variance and standard deviation of the number of sophomores. Interpret the mean.

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