An electronics store has received a shipment of 20 table radios that have connections for an iPod or iPhone. Twelve of these have two slots (so they can accommodate both devices), and the other eight have a single slot. Suppose that six of the 20 radios are randomly selected to be stored under a shelf where 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 a distribution does X have (name and values of all parameters)? 

b. Compute P(X = 2), P(X ≤ 2), and P(X ≥ 2).
c. Calculate the mean value and standard deviation of X.