An electronics store received a shipment of 10 table radios that have connections for an iPod or iPhone. 7 of these are double slot radios and 3 are single slot radios. Suppose that 6 radios are randomly selected to be displayed, the remaining placed behind the counter. Let X = the number of double slot radios to be displayed.
a. The random variable X has a hypergeometric distribution with parameters n = , M = , and N = .
b. Find P(X > 5)
c. Find P(X = 2)
d. Determine E[X] or the expected number of double slot radios to be displayed.
e. Determine Var[X].