Question

The number of wiring packages that can be assembled by a company's employees has a normal distribution, with a mean equal to 19.8 per hour and a standard deviation of 1.2 per hour. (a) What are the mean and standard deviation of the number X of packages produced per worker in an 8-hour day?

Answer 1

Answer:

Mean: μ =  158.4

Standard deviation σ = 3.3941

Step-by-step explanation:

The mean number of packages produced per worker in an 8-hour day is the product of the mean number of packages produced per hour  multiplied by the total number of hours:

$\mu = 19.8*8\\\mu = 158.4$

The standard deviation for 158.4 packages produced in an 8-hour period is the product of the standard deviation per hour by the square root of the total number of hours:

$\sigma = 1.2*\sqrt{8}\\\sigma = 3.3941$