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 17 of these cameras, of which 9 have 3-megapixel resolution. Suppose that 3 of these cameras are randomly selected to be stored behind the counter; the other 14 are placed in a storeroom. Let X = the number of 3-megapixel cameras among the 3 selected for behind-the-counter storage.(a) What kind of 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 the standard deviation of X.