Off the production line, there is a 4.6% chance that a candle is defective. If the company selected 50 candles off the line, what is the standard deviation of the number of defective candles in the group?
Accepted Solution
A:
Answer: 1.48Step-by-step explanation:From binomial distribution, the formula to find the standard deviation is given by :-[tex]\sigma=\sqrt{np(1-p)}[/tex], where n is the sample size and p is the proportion of success.Given : The percent of chance that a candle is defective. If the company selected 50 candles off the line : 4.6%i.e. The proportion of success : p=0.046Sample size : n=50Then, Standard deviation = [tex]\sigma=\sqrt{50(0.046)(1-0.046)}[/tex][tex]\sigma=1.48128322748\approx1.48[/tex]Hence, the standard deviation of the number of defective candles in the group=1.48