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?

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,

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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