1. A new disease affects 20 percent of the population. What is the probability that in a random sample of 5, (i) all are affected?, (ii) at least 3 are affected ?, (iii) between 2 and 4, inclusive are affected? 2. The income of families per week is distributed with mean income of $ 12,000 and standard deviation of $ 600. Suppose that a random sample of 36 families is drawn from this population. What is the probability that the mean income of these 36 families will exceed $ 12,200