An automatic machine in a manufacturing process is operating properly if the lengths of an important subcomponent are normally distributed with a mean of 110 cm and a standard deviation of 5.7 cm. A. Find the probability that one selected subcomponent is longer than 113.135 cm. Probability =  B. Find the probability that if 3 subcomponents are randomly selected, their mean length exceeds 115.199617 cm. Probability =

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

An automatic machine in a manufacturing process is operating properly if the lengths of an important subcomponent are normally distributed with a mean of 110 cm and a standard deviation of 5.7 cm.

A. Find the probability that one selected subcomponent is longer than 113.135 cm.

Probability = 

B. Find the probability that if 3 subcomponents are randomly selected, their mean length exceeds 115.199617 cm.

Probability = 

Expert Solution
steps

Step by step

Solved in 3 steps with 2 images

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
Big Ideas Math A Bridge To Success Algebra 1: Stu…
Big Ideas Math A Bridge To Success Algebra 1: Stu…
Algebra
ISBN:
9781680331141
Author:
HOUGHTON MIFFLIN HARCOURT
Publisher:
Houghton Mifflin Harcourt