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A recent study found that 70% of college students at Queen University are on a sports team. Suppose that 7 students are randomly selected for

A recent study found that 70% of college students at Queen University are on a sports team. Suppose that 7 students are randomly selected for a study.

Question 1. Find the mean number of students that participate in college athletics.

Question 2. Find the standard deviation of this binomial distribution.

Question 3. Find the probability that exactly 6 students participate in college athletics.

Question 4. Find the probability that 5 or fewer students participate in college athletics.

Question 5. Find the probability that 6 or more students participate in college athletics.

What formulas should be used to solve this?

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