Answer to Question #180322 in Statistics and Probability for joela

Question

A shipment of six laptops contains two that are slightly defective.If a retailer receives four of these laptops at random,list the elements of the sample space using the letters D and N for defective and non defective laptops, respectively.To each sample point assign a value x of the random variable x representing the number of laptops purchased by the retailer which are non defective.Construct a probability distribution for the random variable x by filling in the table below and draw it's corresponding histogram

Answer 1

The sample space for are-{ NNNN,NNND,NNDN,NDNN,NDND,NDDN,DNNN,DNND,DNDN,DDNN,NNDD}

Since x denote the no. of non defectivr laptops so The value of x is 2,3,4

The probability distribution is given as-

The required histogram is-