An automatic machine in a manufacturing process is operating properly if the lengths of an important subcomponent are normally distributed with a mean of 118 cm and a standard deviation of 5.7 cm A Find the probability that one selected subcomponent is longer than 120 cm. Probability= 0.3628 B. Find the probability that if 4 subcomponents are randomly selected, their mean length exceeds 120 cm. Probability 0.7018 C. Find the probability that if 4 are randomly selected, all 4 have lengths that exceed 120 cm. Probability= 2414

College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter9: Counting And Probability
Section9.3: Binomial Probability
Problem 2E: If a binomial experiment has probability p success, then the probability of failure is...
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 118 cm and a standard
deviation of 5.7 cm
A Find the probability that one selected subcomponent is longer than 120 cm.
Probability 0.3628
B. Find the probability that if 4 subcomponents are randomly selected, their mean length exceeds 120 cm.
Probability 0.7018
C. Find the probability that if 4 are randomly selected, all 4 have lengths that exceed 120 cm.
Probability 2414
Transcribed Image Text:An automatic machine in a manufacturing process is operating properly if the lengths of an important subcomponent are normally distributed with a mean of 118 cm and a standard deviation of 5.7 cm A Find the probability that one selected subcomponent is longer than 120 cm. Probability 0.3628 B. Find the probability that if 4 subcomponents are randomly selected, their mean length exceeds 120 cm. Probability 0.7018 C. Find the probability that if 4 are randomly selected, all 4 have lengths that exceed 120 cm. Probability 2414
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 4 steps with 4 images

Blurred answer
Recommended textbooks for you
College Algebra
College Algebra
Algebra
ISBN:
9781305115545
Author:
James Stewart, Lothar Redlin, Saleem Watson
Publisher:
Cengage Learning
College Algebra
College Algebra
Algebra
ISBN:
9781337282291
Author:
Ron Larson
Publisher:
Cengage Learning
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage