a. use the procedure that you have learned to solve the following problems involving probability distribution of a discrete random variable

Application A. Use the procedure that you have learned to solve the following problems involving probability distribution of a discrete random variable. 1. In a National Achievement Test, suppose three test booklets are tested at random. Let D represent the defective test booklet and let N represent the non-defective test booklet. Let X be the random variable representing the number of non-defective test booklets. 2. Suppose that a coin is to be tossed four times, and let X represent the number of tails that occur. B. Determine whether the distribution represents a probability distribution. Explain your answer. X 1 5 7 8 P(X) 1/4 1/8 1/4 1/B 1. X 2 3 4 6 P(X) 1/6 1/6 1/6 1/3 1/6 2. X 1 3 5 7 P(X) 0.35 0.25 0.22 0 12 3 4. P(1)= 0.42, P(2)= 0.31, P(3)= 0.37 5. P(1)= 10/33, P(2)= 1/3, P(3)= 12/33