Question

A shipment of five computers contains two that are slightly defective. If a retailer receives three of these computers at random, list the sample space using the letters D and N for defective and non-defective computers respectively and find the value of random variable X representing the number of computers purchased by the retailer which are slightly defective.

 

Answer 1

Solution:

Sample space = S = {NNN, NND, NDD}

Here order is not taken into account as selection is random.

X - random variable

X = 0: {NNN}

X = 1: {NND}

X = 2: {NDD}