Question

5.    A shipment of 60 watches, including 9 that are defective, is sent to a department store. The receiving department selects 10 at random for testing and rejects the whole shipment if 1 or more in the sample are found to be defective. What is the probability that the shipment will be rejected?

Answer 1

Solution:

Given:

p= probability of defective watch = 9/60 = 0.15

thus q = 1 - p = 1 - 0.15 = 0.85

n = 10

Shipment will be rejects the whole shipment if 1 or more in the sample are found to be defective.

Find:
P( the shipment will be rejected) = .........?

Using Binomial probability :

thus

( Round answer to specified number of decimal places)