Answer to Question #299304 in Statistics and Probability for NINE

Question

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

Answer 1

The number of possible outcomes = 2³ = 8

Thus the sample space S = { DDD, DDN, DND, DNN, NNN, NND, NDN, NDD}

Define X as the random variable representing the number of non-defective test booklets, then

p(x=0) = 1/8

p(x=1) = 3/8

p(x=2) = 3/8

p(x=3) = 1/8

Hence we may represent the probability distribution as below

x 0 1 2 3

p(x) 1/8 3/8 3/8 1/8