A 500-page book contains 250 sheets of paper. The thickness of the paper used to manufacture the book has mean 0.08 mm and standard deviation0.01mm. What is the probability that a randomly chosen book is more than 20.2 mm thick (not including the covers)

Probability = 0.1038 or 10.38%

Step-by-step explanation:

Given,

Number of sheets n = 250

Mean

Standard deviation

= Sum of sample items.

From the Central Limit Theorem we get, ~

n\mu = 250 × 0.08

        = 20

        = 250(0.01)²

        = 0.025

Therefore, ~N(20,0.025)

The Z-value corresponding to 20.2 :

= 1.26

Finally,

                                  = 1 - 0.8962

                                  = 0.1038

Probability = 0.1038 or 10.38%

maximum area = xy = (16)(32) = 512 ft2

to maximize the area of the garden, the side of the fence parallel to the side of the house should be 32 ft long, and the other two sides should both have length 16 ft.'

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