Question

use the probability distribution to complete parts (a) and (b) below. the number of defects per 1000 machine parts inspected defects 0 1 2 3 4 5 probability 0.272 0.293 0.239 0.137 0.042 0.017 (a) find the mean, variance, and standard deviation of the probability distribution. the mean is 1.4. (round to one decimal place as needed.) the variance is 1.5. (round to one decimal place as needed.) the standard deviation is . (round to one decimal place as needed.)

Explanation:

Step1: Recall standard - deviation formula

The standard deviation $\sigma$ of a probability distribution is the square - root of the variance $\sigma^{2}$. Given $\sigma^{2}=1.5$.

Step2: Calculate standard deviation

$\sigma=\sqrt{1.5}\approx1.2$

Answer:

$1.2$