Question

nework: 7.2 Interactive Assignment 0% (0 points out of 8) paring for Section 7.2 Introduction Objective 1 Objective Objective 1: Find and Interpret the Area under a Normal Curve 7.2 Applications of the Normal Distribution 7.2.RA-1. 0 of 1 Point Question Help Suppose X is a normal random variable with mean = 61 and standard deviation (a) Compute the z-value corresponding to X=51. (b) Suppose the area under the standard normal curve to the left of the (c) What is the area under the normal curve to the right of X=512 part(a) is 0.1056. What is the area under the normal curve to the left of X=51? (a) (Round to two decimal places as needed.) Enter your answer in the answer box and then click Check Answer A parts 2 remaining Clear All Check Answer

Answer 1

Given that mean  µ = 61

Standard deviation s = 8

a) z score corresponding to X =51

z = x - µ/ σ = 51 - 61 / 8 = 10 / 8 = -1.25

b) Area under normal curve to the left for the given z-score

P ( Z<−1.25 )=1−P ( Z<1.25 )=1−0.8944=0.1056

c) Area under normal curve to the right for the given z-score

P ( Z>−1.25 )=P ( Z<1.25 )=0.8944