Question

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?

Answer 1

Answer: 1.48

Step-by-step explanation:

From binomial distribution, the formula to find the standard deviation is given by :-

$\sigma=\sqrt{np(1-p)}$, 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=0.046

Sample size : n=50

Then, Standard deviation = $\sigma=\sqrt{50(0.046)(1-0.046)}$

$\sigma=1.48128322748\approx1.48$

Hence, the standard deviation of the number of defective candles in the group=1.48