Question: After analyzing data from private schools across the Wizarding World, it is concluded that the average cost of room and board at a school of

After analyzing data from private schools across the Wizarding World, it is concluded that the average cost of room and board at a school of magic is $45,000 with a standard deviation of $3,000. Assume that the cost for a wizard's education is normally distributed when answering the following questions.

a. What percentage of the time will the cost of education be between $42,000 and $48,000 per year?

b. What percentage of the time will the cost of education be more than $39,000 per year?

c. What percentage of the time will the cost of education be more than $54,000 or less than $36,000 per year?

d. What percentage of the time will the cost of education be at least $51,000 per year?

e. What percentage of the time will there the cost of education be less than $42,000 per year?

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