Chapter 06, Section 6.4, Problem 039bf tion Let x be a continuous random variabl

Question

Chapter 06, Section 6.4, Problem 039bf tion Let x be a continuous random variable that follows a normal distribution with a mean of 227 and a standard deviation of 36. tion Za ction (a) Find the value of x>227 so that the area under the normal curve from 227 to x is 0.3485. Round your answer to the nearest integer ction ction The value of x is 43 ction the absolute tolerance is +/-1 by Study (b) Find the value of x so that the area under the normal curve to the right of x is 0.4880 Round your answer to the nearest integer. The value of x is &Sons; Ins, Al Rights Reserved. A Division of 1ohn WieL& Sona In

Explanation / Answer

a) From z table,

Area between z = 0 and z = 1.03 is 0.3485

Hence,

x = 227 + 1.03*36

x = 264

b) z score for the area to its right as 0.4880 is 0.03

Hence,

x = 227 + 0.03*36

x = 228

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