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Suppose that the cost of annual tuition at colleges is normally distributed, with an average annual cost of $13,926.78.  The standard deviation of tuition is $4,085.42.  What percentage of colleges would be expected to have an annual tuition between the cost of College A with a tuition of $20,106.18 and College B with a tuition of $14,829.01?

Question

Suppose that the cost of annual tuition at colleges is normally distributed, with an average annual cost of $13,926.78.  The standard deviation of tuition is $4,085.42.  What percentage of colleges would be expected to have an annual tuition between the cost of College A with a tuition of $20,106.18 and College B with a tuition of $14,829.01? 

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Step 1

Denote X as the cost of annual tuition at colleges. It is given that X is normally distributed, with mean μ = $13,926.78 and standard deviation σ = $4,085.42.

That is,

 

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Step 2

The percentage of colleges would be expected to have an annual tuition between the cost of College A with a tuition...

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