An electronics store has received a shipment of 20 table radios that have connections for an iPod or iPhone. Ten of these have two slots (so they can accommodate both devices), and the other ten have a single slot. Suppose that eight 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= 10, M = 8, and n = 10 O binomial with n= 10, x= 8, and p = 8/10 O binomial with n = 20, x= 10, and p = 8/20 O hypergeometric with N= 20, M = 10, and n=8 (b) Compute P(X = 2), P(X ≤ 2), and P(X 22). (Round your answers to four decimal places.) P(X= 2) = [ P(X ≤ 2) = P(X z 2) = (c) Calculate the mean value and standard deviation of X. (Round your standard deviation to two decimal places.) mean value standard deviation radios radios

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