The total number of pages in college textbooks has been found to be a normally s

Question

The total number of pages in college textbooks has been found to be a normally shaped distribution with a mean of µ = 325 pages in length, and a standard deviation = 115.   . Find the percentage of books that have equal to or more than 500 pages in length. Round to the nearest hundredths place if a fraction. [Note, if your calculated value is not identical to one of the values below, but within plus or minus 0.25 of an answer below, assume it’s a rounding error and select the answer that is closest to your calculated value.]

a. 6.43

b. 7.95

c. 43.57

d. 93.57

Explanation / Answer

Percentage of books that have equal to or more than 500 pages

= P(X > 500)

= P(z > (500 - 325)/115)

= P(z > 1.52)

= 0.0643

= 6.43%

Option A is correct.

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