Question

QuestionThe number of pages per book on a bookshelf is normally distributed with mean 248 pages and standard deviation 21pages. Using the empirical rule, what is the probability that a randomly selected book has less than 206 pages?• Provide the final answer as a percent rounded to one decimal place.

Answer 1

The number of pages per book on a bookshelf is normally distributed with mean 248 pages and standard deviation 21

pages. Using the empirical rule, what is the probability that a randomly selected book has less than 206 pages?

SOLUTION

Using Z-score =

(Given score - Mean) / Standard Deviation

Z- score = ( 206 - 248 ) / 21 = -2

P ( less than -2 ) = 0. 002275 x 100 % = 0. 2275 % = 0 . 2 % ( 1 decimal place)