In a recent survey of high school students, it was found that the average amount of money spent on entertainment each week was normally distributed with a mean of $52.30. Suppose you are told that...

Extracted text: In a recent survey of high school students, it was found that the average amount of money spent on entertainment each week was normally distributed with a mean of $52.30. Suppose you are told that there is an 90% probability that a randomly-selected student spends at most $54.86. (round your answers to 2 decimal places) a. What is the probability that randomly chosen student spends more than $53? b. For a random sample of n=200 students find the probability that more than 120 spends at most $53.