Answer to Question #168568 in Statistics and Probability for Samantha

Question

Contract a table to answer and draw a bar paragraph;

Ashipments of five computer contains two that are slightly defective. If a retailer receives three of these computers at random, list the elements of the same space S using the letters D and N for defective and non-defective computers, 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 defective

Answer 1

$\text{Probability space:}\\ S=\{DDD, DDN,NDD,DND,DNN,NDN,NND,NNN\}\\ P\{X=0\}=(3/5)^3\\ P\{X=1\}=3(2/5)(3/5)^2\\ P\{X=2\}=3(2/5)^2(3/5)\\ P\{X=3\}=(2/5)^3$