Question

A retailer purchases a certain kind of electronic device from a manufacturer. The manufacturer indicates that the defective rate of the device is 5%. The inspector of the retailer randomly picks 10 items from a shipment. What is the probability that there will be 

(i) at least one defective item 

(ii) exactly two defective items.

Answer 1

Given n = 10

Let ‘X’ be the random variable denotes the number of defective items. 

∴ Probability of ‘x’ successes in ‘n’ trials is

(i) Probability that atleast one defective item will be there 

(ii) Probability that exactly two defective item will be there