1. NBC news reported that 1 in 20 children in the US have a food allergy. Consider selecting 15 children at random Define the random variable x as x= number of children in the sample of 15 that have a food allergy.

a. P(x< 2)

b. P(x 2)

c. P(x < 3)

d. Find the mean and standard deviation of the random variable x

2. A certain university has 9 vehicles available for use by faculty and staff. Five of these are vans and four are cars. Only two requests for vehicles have been made. Suppose that the two vehicles to be assigned are chosen in random fashion from among the nine.

a. Let F denote the probability that the second vehicle assigned is a van. What's P(F | E)?