THE NEXT QUESTIONS ARE BASED ON THE FOLLOWING INFORMATION:
You have recently joined a Weight Watchers club.Suppose that the number of times you expect to visit the club in a month is represented by a normally distributed random variable with a mean of 12 and a standard deviation of 2.50.
-Over the course of the next year,what is the probability that you average more than 13 visits to the club?
A)0.1554
B)0.4177
C)0.3446
D)0.0823

Question

Quizplus · Accepted Answer

To find the probability of averaging more than 13 visits over a year, we calculate the z-score for 13 visits using the standard error (SE = standard deviation / sqrt(number of months)). The z-score is (13 - 12) / (2.5 / sqrt(12)) = 1.3856. Using the standard normal distribution table, the probability of a z-score greater than 1.3856 is approximately 0.0823.