Circuit boards for wireless telephones are etched, in an acid bath, in batches of 100 boards.A sample of seven boards is randomly selected from each lot for inspection.A particular batch contains two defective boards; and x is the number of defective boards in the sample.P(x=0)is _______.
A)0.1315
B)0.8642
C)0.0042
D)0.6134
E)0.8134

Question

Quizplus · Accepted Answer

The probability of selecting 0 defective boards out of 7 when there are 2 defective boards in a batch of 100 is calculated using the hypergeometric distribution formula. The probability is P(x=0) = [(98 choose 7) / (100 choose 7)], which equals approximately 0.8642.

Circuit Boards for Wireless Telephones Are Etched, in an Acid