An electronics store has received a shipment of 20 table radios that have connections for an iPod or iPhone. Ten of these have two slots (so they can accommodate both devices), and the other ten have a single slot. Suppose that six of the 20radios are randomly selected to be stored under a shelf where the radios are displayed, and the remaining ones are placed in a storeroom. Let X = the number among the radios stored under the display shelf that have two slots.

(a) What kind of distribution does X have (name and values of all parameters)?

binomial with n = 20, x = 10, and p = 6/20

binomial with n = 10, x = 6, and p = 6/10

hypergeometric with N = 20, M = 10, and n = 6

hypergeometric with N = 10, M = 6, and n = 10

(b) Compute P(X = 2), P(X 2), and P(X 2). (Round your answers to four decimal places.)

P(X = 2) =	________
P(X 2) =	________
P(X 2) =	________

(c) Calculate the mean value and standard deviation of X. (Round your standard deviation to two decimal places.)

mean value	________	radios
standard deviation	________	radios