Question

A camera store sells 40 pairs of binoculars per week on average with a standard deviation of 6. What is the probability that the store will sell more than 52 pairs binoculars in any week?

A. 8.28%
B. 3.57%
C. 7.24%
D. 2.28%
E. 4.55%

Answer 1

To find the probability that the store will sell more than 52 pairs of binoculars in any week, calculate the z-score and find the corresponding probability from the standard normal distribution table. The probability is approximately 2.28%. Hence the correct answer is option D

Step-by-step explanation:

To find the probability that the store will sell more than 52 pairs of binoculars in any week, we need to calculate the z-score and then find the corresponding probability from the standard normal distribution table.

First, calculate the z-score:

z = (52 - 40) / 6 = 2

Next, find the corresponding probability:

probability = 1 - cumulative probability of z

Using the standard normal distribution table or a calculator, we find that the cumulative probability of z = 2 is approximately 0.9772. Therefore, the probability that the store will sell more than 52 pairs of binoculars in any week is:

probability = 1 - 0.9772 = 0.0228 = 2.28%

Hence the correct answer is option D