Question

A light bulb factory produces 922 light bulbs every hour. Approximately 3.34% of the light bulbs are defective, and do not work. Using the binomial distribution, what is the standard deviation of the number of defective bulbs produced in an hour

Answer 1

The value is
`\sigma = 5.46`

Explanation:

From the question we are told that

The number of light produced in an hour is n = 922

The proportion of the bulb that are defective is p = 0.0334

Generally given from the question that we should use binomial distribution it then means that the standard deviation is mathematically evaluated as

`\sigma = √( n * p (1-p))`

=>
`\sigma = √( 922 * 0.0334 * (1-0.0334))`

=>
`\sigma = 5.46`