(a) weekly demand at a grocery store for a breakfast cereal is normally distributed with a mean of 800 boxes and a standard deviation of 75 boxes. (i) what is the probability that the weekly demand is less than 650 boxes or greater than 950 boxes?

 0.0455

Step-by-step explanation:

Given : Weekly demand at a grocery store for a breakfast cereal is normally distributed .

Population mean :

Standard deviation :

To find : Probability that the weekly demand is less than 650 boxes or greater than 950 boxes.

We first find z-score corresponds to 650 and 950.

Since

Then , for x= 650

x=950

Then , the probability that the weekly demand is less than 650 boxes or greater than 950 boxes is given :-

Hence, the probability that the weekly demand is less than 650 boxes or greater than 950 boxes = 0.0455