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

Answer:

The value is  $\sigma = 5.46$  

Step-by-step 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  

           $\sigma = \sqrt{ n * p (1-p)}$

=>         $\sigma = \sqrt{ 922 * 0.0334 * (1-0.0334)}$

=>         $\sigma = 5.46$