According to the International Mass Retail Association, girls aged 13 to 17 spend an average of $31.20

Question:

According to the International Mass Retail Association, girls aged 13 to 17 spend an average of $31.20 on shopping trips in a month. Assume that the amounts are normally distributed with a standard deviation of $8.27.
If a girl in that age category is randomly selected, what is the probability that she spends between $35.00 and $40.00 in one month? Does the assumption of a normal seem plausible for this population?
Distribution
The word "distribution" has several meanings in the financial world, most of them pertaining to the payment of assets from a fund, account, or individual security to an investor or beneficiary. Retirement account distributions are among the most...