o pons Suppose that the thickness of one typical page of a book printed by a cer

Question

o pons Suppose that the thickness of one typical page of a book printed by a certain publisher is a random variable with mean 0.1 mm and a standard deviation of 0.002 mm. A new book will be printed on 400 sheets of this paper. Approximate the probability that the thicknesses of the entire book (excluding the cover pages) will be between 39.9 mm and 40.1 mm. [Note: total thickness of the book is the sum of the individual thicknesses of the pages.] Do not round your numbers until rounding up to two decimal places to use the normal Table B.3. Round your final answer to the nearest hundredth, or two digits after decimal point. probability [ ]

Explanation / Answer

for normal distribution z score =(X-mean)/std deviaiton

for expected thickness of entire book =400*0.1 =40

and std deviaiton =0.002*(400)1/2 =0.04

hence probability that thickness of entire book is beteen 39.9 and 40.1 =-P(39.9<X<40.1)=P(-2.5<Z<2.5)

=0.9876 ~ 0.99

please revert for any clarification required

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