The distance between store outlets in a chain of stores in a large metropolitan city is normally distributed with an average of 50km and a standard deviation of 5km.What is the probability of finding a store between 50km and 60km?
A)0.2747
B)0.3512
C)0.2997
D)0.4772
E)0.5000

Question

Quizplus · Accepted Answer

The probability of finding a store between 50km and 60km is the area under the normal distribution curve between these two points. This is calculated using the Z-scores for 50km (Z=0) and 60km (Z=2). The cumulative probability for Z=2 is approximately 0.9772, and for Z=0 is 0.5. The difference is 0.4772.

The Distance Between Store Outlets in a Chain of Stores