A national retailer has tracked customers who visit its website and determined that 37% will make a purchase from the website within six months of their first website visit. Eight people who visit the website are selected at random as a sample.
a. Determine the expected number in the sample who will make a purchase within six months.
b. Calculate the standard deviation in the number who will make a purchase.

c. Calculate the probability of 2 or fewer making a purchase within six months.