J. Fetto, in the article "Love Stinks" (American Demographics, Vol. 25, No. 1, pp. 10-11), reports that Americans split with their significant other for many reasons-including indiscretion, infidelity, and simply "growing apart." According to the article, 35% of American adults have experienced a breakup at least once during the last 10 years. Of nine randomly selected American adults, find the probability that the number, X, who have experienced a breakup at least once during the last 10 years is
a. Exactly five; at most five; at least five.
b. At least one; at most one.
c. Between six and eight, inclusive.
d. Determine the probability distribution of the random variable X.
e. Strictly speaking, why is the probability distribution that you obtained in part (d) only approximately correct? What is the exact distribution called?