Answer to Question #238016 in Statistics and Probability for SHKNH

Question

A company staff will deliver 5 laptops in a client. What are the values of the random variable X representing the number of non-defective laptops if there are 3 defective units. Use N for non-defective and D for defective.

Answer 1

A collection of 5 laptops includes 3 defective laptops.

Hence there are 2 nondefective laptops $(N)$ and 3 defective laptops $(D)$.

If a sample of 3 laptops is randomly chosen from the collection, then sample space:

$$S=\{{NND, NDN,NDD,DNN, DND, DDN,DDD}\}$$

Let $X=$ the number of nondefective computers

$$S_X=\{{0,1,2}\}$$