In a study by Peter D. Hart Research Associates for the Nasdaq Stock Market, it was determined that 20% of all stock investors are retired people. In addition, 40% of all U.S. adults invest in mutual funds. Suppose a random sample of 25 stock investors is taken. a. What is the probability that exactly eight are retired people? b. What is the probability that 10 or more are retired people? c. How many retired people would you expect to find in a random sample of 25 stock investors? d. Suppose a random sample of 2O U.S. adults is taken. What is the probability that exactly eight adults invested in mutual funds? e. Suppose a random sample of 20 U.S. adults is taken. What is the probability that fewer than five adults invested in mutual funds? f. Suppose a random sample of 20 U.S. adults is taken. What is the probability that exactly one adult invested in mutual funds? g. Suppose a random sample of 20 U.S. adults is taken. What is the probability that 11 or more adults invested in mutual funds?

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