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d Safari File Edit View History Bookmarks Window Help 3996 Thu 2:28 PM Q E webassign net Home Howdy Homework Assignmente 7 SPRING MATH 14 N4 l Chegg.com ork 25 Math 141 (Sect. 8-5) 5. -1.66 points 016 Submissions Used My Notes Let Z be the standard normal variable. Find the values of a that satisfy the given probabilities. (Give your answers to four decimal places (a) PKZ a) 0.2745 (b) P( a Z a) 0.4483 Entomology -1.7 points 0/6 Submissions Used My Notes Find the indicated quantities given that X is a normal random variable with a mean of 60 and a standard deviation of 30. (Round your answers to 4 decimal places.) Math a) Find the value of b such that PCX s b) 0.1469 (b) Find the value of c such that P(X c- 0.5832 Microsoft Excel (c) Find the values of A and B such that P(A s X s B 0.8444 if A and Bare symmetric about the mean. and B Microsoft PowerPoint Submit Assignment Microsoft Word Home My Assignments Extension Requesf 408 1997-20 Advanced Instructional Systems, All rights reserved.

Explanation / Answer

a)

P(Z>a) = 0.2745

P(Z<a) = 1-0.2745 = 0.7255

z value for p=0.7255 using z-table is 0.5993

(a-0)/1 = 0.5993 => a = 0.5993

c)

P(-a < Z< a) = 0.4483

P(Z<a) - P(Z<-a) = 0.4483

by property of standard normal distrubution P(Z<a) + P(Z<-a) =1

P(Z<a) = (1+0.4483)/2 = 0.7242

z value for p=0.7242 using z-table is 0.5954

(a-0)/1 = 0.5954 => a = 0.5954

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