Question

The number of orders received daily by an online vendor of used CDs is normally distributed with mean 270 and standard deviation 16. The company has to hire extra help or pay overtime on those days when the number of orders received is 302 or higher. What percentage of days will the company have to hire extra help or pay​ overtime?

Answer 1

Explanation:

Given that the number of orders received daily by an online vendor of used CDs (say X) is normally distributed with mean 270 and standard deviation 16.

X is N(270, 16)

To find percentage of days will the company have to hire extra help or pay​ overtime, we can find probability using std normal table

X>302 means

`Z>(302-270)/(16) =2`

P(Z>2) = 0.25

Thus 25% of days will the company have to hire extra help or pay​ overtime