Answer to Question #311159 in Statistics and Probability for Jov

Question

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

Sample space: {NNN, NND, NDN, DNN, NDD, DND, DDN}.

$P(D=0)=\frac{1}{7}.$

$P(D=1)=\frac{3}{7}.$

$P(D=2)=\frac{3}{7}.$