It is known that amounts of money spent on clothing in a year by students on a particular campus follow a normal distribution with a mean of $380 and a standard deviation of $50 a What is the probability that a randomly chosen student will spend less than $400 on clothing in a year b What is the pr...

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It is known that amounts of money spent on clothing in a year by students on a

Question:

It is known that amounts of money spent on clothing in a year by students on a particular campus follow a normal with a mean of $380 and a standard deviation of $50.
a. What is the probability that a randomly chosen student will spend less than $400 on clothing in a year?
b. What is the probability that a randomly chosen student will spend more than $360 on clothing in a year?
c. Draw a graph to illustrate why the answers to parts (a) and (b) are the same.
d. What is the probability that a randomly chosen student will spend between $300 and $400 on clothing in a year?
e. Compute a range of yearly clothing expenditures- measured in dollars-that includes 80% of all students on this campus? Explain why any number of such ranges could be found, and find the shortest one. 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...