Chapter P, Section 5, Exercise 146 Find endpoint(s) on the given normal density

Question

Chapter P, Section 5, Exercise 146 Find endpoint(s) on the given normal density curve with the given property. (a) The area to the right of the endpoint on a N (25, 10) curve is about 0.25 Round your answer to one decimal place. Endpoint- the absolute tolerance is +/-0.1 SHOW HINT LINK TO TEXT (b) The area to the left of the endpoint on a N (500, 89) curve is about 0.02 Round your answer to one decimal place Endpoint the absolute tolerance is +7-0.1 SHOW HINT LINK TO TEXT (c) The symmetric middle area on a N (10, 1) curve is about 0.95. Round your answers to one decimal place. Enter your answers in increasing order. The endpoints are Id

Explanation / Answer

Ans:

a)Given that

mean=25,standard deviation=10

P(Z>=z)=0.25

z=0.6745

endpoint=25+0.6745*10=31.7

b)mean=500,standard deviation=89

P(Z<=z)=0.02

z=-2.054

endpoint=500-2.054*89=317.2

c) z value for middle 95% is +/-1.96

lower limit=10-1.96*1=8.0

upper limit=10+1.96*1=12.0

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