2a.) </span>To verify that the probability is legimate, we sum it and see if the sum is 1. <span>0.09 + 0.36 + 0.35 + 0.13 + 0.05 + 0.02 = 1 Since the sum of the probabilities is 1, the probability is a legitimate probability distribution. b.) P(x > 2) is the probability that the number of cars an American family owns is greater than 2. c.) </span><span>P(x = 2) is the probability that the number of cars an American family owns is 2. d.) P(x > 2) => P(x = 3) + P(x = 4) + P(x = 5) = </span><span>0.13 + 0.05 + 0.02 = 0.2
3a.) The </span><span>percent of the sons that reached the highest class is 0.01 x 100% = 1% b.) </span><span>0.48 + 0.38 + 0.08 + 0.05 + 0.01 = 1 Since the sum of the probabilities is 1, the </span><span>distribution meets the requirements of a discrete probability distribution. c.) P(x < 2) = P(x = 1) = 0.48 d.) P(x = 2) = 0.38 </span>
