Answer:
The value is [tex]\sigma = 5.46[/tex]
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
[tex]\sigma = \sqrt{ n * p (1-p)}[/tex]
=> [tex]\sigma = \sqrt{ 922 * 0.0334 * (1-0.0334)}[/tex]
=> [tex]\sigma = 5.46[/tex]