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 adults invest in mutual funds. Suppose a random sample of 25 stock investors is taken.

*Round your answer to 3 decimal places, e.g. 0.758.

a. What is the probability that exactlysixare retired people? P(x =6) = * b. What is the probability that9or more are retired people? P(x 9) = * c. How many retired people would you expect to find in a random sample of25stock investors? Expected Value = d. Suppose a random sample of 20 adults is taken. What is the probability that exactlysevenadults invested in mutual funds? P(x =7) = * e. Suppose a random sample of 20 adults is taken. What is the probability that fewer thansevenadults invested in mutual funds? P(x <7) = * f. Suppose a random sample of 20 adults is taken. What is the probability thatnone of the adultsinvested in mutual funds? P(x =0) = * g. Suppose a random sample of 20 adults is taken. What is the probability that13or more adults invested in mutual funds? P(x 13) = * h. For parts e-g, what exact number of adults would produce the highest probability? How does this compare to the expected number? x = Expected Number = =