80. A certain type of digital camera comes in either a 3-megapixel version or a 4-megapixel version. A camera store has received a shipment of 15 of these cameras, of which 6 have 3-megapixel resolution.

Suppose that 5 of these cameras are randomly selected to be stored behind the counter; the other 10 are placed in a storeroom. Let X  the number of 3-megapixel cameras among the 5 selected for behind-the-counter storage.

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.