Answer:
The value is [tex]\sigma = 4.35[/tex]
Step-by-step explanation:
From the question we are told that
The number of light bulbs produce every hour is n = 1409
The proportion of light bulbs that are defective is [tex]p = 0.0136[/tex]
Generally from the question we are told to use binomial distribution hence the standard deviation of the number of defective bulbs produced in an hour is mathematically represented as
[tex]\sigma = \sqrt{n * p * (1- p )}[/tex]
=> [tex]\sigma = \sqrt{1409 * 0.0136 * (1 - 0.0136 )}[/tex]
=> [tex]\sigma = 4.35[/tex]
