eight have a single slot. Suppose that five of the 20 radios 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)? O hypergeometric with N= 20, M = 12, and n = 5 O binomial with n = 20, x = 12, and p = 5/20 O binomial with n = 12, x = 5, and p = 5/12 O hypergeometric with N = 12, M = 5, and n = 12 (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