It has been found that 60% of the computer chips produced in a factory are faulty. As part of quality control, 100 samples of 4 chips are selected at random, and each chip is tested. The number of faulty chips in each sample is recorded, with the results given in the following table.

The expected values for a binomial distribution with parameters it = 4 and p= 0.6 are given in the following table.

i. Show how the expected value 34.56 corresponding to 2 faulty chips is obtained.

ii. Carry out a goodness of fit test at the 5% significance level. and state what can be deduced from the outcome of the test.

Transcribed Image Text:

Number of faulty chips 3 4 Number of samples 2 12 27 49 10 2.