The average fee per student (an amount that includes activities fees, technology fees, curriculum fees, etc.) at four-year colleges is $1043.The fee are normally distributed with a standard deviation of $68.If a student budgets $1075 for fees, how likely is it that he/she will end up at least $50 short?
A).1464
B).2362
C).1996
D).1561
E).1131

Question

Quizplus · Accepted Answer

To find the likelihood of being at least $50 short, we need to determine the probability that the fees exceed $1125 ($1075 + $50). We calculate the z-score: z = (1125 - 1043) / 68 = 1.2059. Using a standard normal distribution table, the probability of a z-score greater than 1.2059 is approximately 0.1131, which corresponds to choice E.

The Average Fee Per Student (An Amount That Includes Activities