Please answer.

C. Construct the probability distribution for the random variables described in each of the following situations. Draw the corresponding histogram for each probability distribution. (5 points each) 1. Four coins are tossed. Let Z be the random variable representing the number of heads that occur. Find the values of the random variable Z. Value of the Possible Outcomes random Probability P(Z) Variable Z 2. A shipment of five computers contains two that are slightly defective. If a retaller receives three computers at random, list the elements of the sample space S using the letters D and N for detective and non-defective computer, respectively. To each sample point assign a value x of the random variable X representing the number of computers purchased by the retailer which are slightly detective. Possible Value of the random Probability P(X) outcomes Variable X 3. Let T be a random variable giving the number of heads in three tosses of a coin. List the elements of the sample space S for the three tosses of the coin and assign a value to each sample point. Value of the Possible random Probability P(T) outcomes Variable T