Fuses of a particular type have breaking points that are normally distributed with mean and standard deviation of 7.5 Amperes and 0.5 Amperes, respectively. What proportion of fuses have a breaking point greater than 8.0 Amperes? If 10 fuses are randomly selected, what is the probability that exactly 2 have breaking points greater than 8.0 Amperes? If 25 fuses are randomly selected, what is the probability that their mean breaking point is grearer than 7.8 Amperes?

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter8: Sequences, Series,and Probability
Section8.7: Probability
Problem 11ECP: A manufacturer has determined that a machine averages one faulty unit for every 500 it produces....
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1. Fuses of a particular type have breaking points that are normally distributed with mean and standard
deviation of 7.5 Amperes and 0.5 Amperes, respectively.
What proportion of fuses have a breaking point greater than 8.0 Amperes?
а.
If 10 fuses are randomly selected, what is the probability that exactly 2 have breaking points
greater than 8.0 Amperes?
b.
If 25 fuses are randomly selected, what is the probability that their mean breaking point is
greater than 7.8 Amperes?
с.
Transcribed Image Text:1. Fuses of a particular type have breaking points that are normally distributed with mean and standard deviation of 7.5 Amperes and 0.5 Amperes, respectively. What proportion of fuses have a breaking point greater than 8.0 Amperes? а. If 10 fuses are randomly selected, what is the probability that exactly 2 have breaking points greater than 8.0 Amperes? b. If 25 fuses are randomly selected, what is the probability that their mean breaking point is greater than 7.8 Amperes? с.
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