a. If a graduate is chosen at random, what is the probability that his IQ is more than 115? b. If a graduate is chosen at random, what is the probability that his IQ is between 125 and 130? c. What should be the IQ of the person to be included in the top 5%?

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
icon
Related questions
Question

ANSWERS SHOULD BE IN 4 DECIMAL PLACES

A construction manager claims to have just hired someone with an IQ that belongs to the top 5% of all recent engineering school graduates. The relevant
distribution of IQ's is known to be normal, with a mean of 120 points and a standard deviation of 10 points.
a. If a graduate is chosen at random, what is the probability that his IQ is more than 115?
b. If a graduate is chosen at random, what is the probability that his IQ is between 125 and 130?
c. What should be the IQ of the person to be included in the top 5%?
Transcribed Image Text:A construction manager claims to have just hired someone with an IQ that belongs to the top 5% of all recent engineering school graduates. The relevant distribution of IQ's is known to be normal, with a mean of 120 points and a standard deviation of 10 points. a. If a graduate is chosen at random, what is the probability that his IQ is more than 115? b. If a graduate is chosen at random, what is the probability that his IQ is between 125 and 130? c. What should be the IQ of the person to be included in the top 5%?
Expert Solution
steps

Step by step

Solved in 4 steps

Blurred answer
Recommended textbooks for you
Glencoe Algebra 1, Student Edition, 9780079039897…
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill