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 be the number of 3-megapixel cameras among the 5 selected for behind the counter storage. a. Compute P(X = 2), P(X ≤ 2), and P(X ≥ 2). b. Calculate the mean value and standard deviation of X.
