Two lighting systems are being proposed for an employee work area. One requires fifty bulbs, each having a probability 0.05 of burning out within a month's time. The second has one hundred bulbs, each with a 0.02 burnout probability. Whichever system is installed will be inspected once a month for the purpose of replacing burned-out bulbs. If we compare the probabilities that each will require at least one

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
Section11.8: Probabilities Of Disjoint And Overlapping Events
Problem 2C
icon
Related questions
Question
pls in detailed explanation thank you
Two lighting systems are being proposed for an employee work area. One requires
fifty bulbs, each having a probability 0.05 of burning out within a month's time. The
second has one hundred bulbs, each with a 0.02 burnout probability. Whichever
system is installed will be inspected once a month for the purpose of replacing
burned-out bulbs. If we compare the probabilities that each will require at least one
bulb to be replaced each month, which system is more likely to require less
maintenance?
A and B are binomial random variables counting the number of burned-out light bulbs
in each system. (A~Bin(n = 50,p = 0.05), B~Bin(n = 100, p = 0.02)
Transcribed Image Text:Two lighting systems are being proposed for an employee work area. One requires fifty bulbs, each having a probability 0.05 of burning out within a month's time. The second has one hundred bulbs, each with a 0.02 burnout probability. Whichever system is installed will be inspected once a month for the purpose of replacing burned-out bulbs. If we compare the probabilities that each will require at least one bulb to be replaced each month, which system is more likely to require less maintenance? A and B are binomial random variables counting the number of burned-out light bulbs in each system. (A~Bin(n = 50,p = 0.05), B~Bin(n = 100, p = 0.02)
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps

Blurred answer
Recommended textbooks for you
Holt Mcdougal Larson Pre-algebra: Student Edition…
Holt Mcdougal Larson Pre-algebra: Student Edition…
Algebra
ISBN:
9780547587776
Author:
HOLT MCDOUGAL
Publisher:
HOLT MCDOUGAL
College Algebra
College Algebra
Algebra
ISBN:
9781337282291
Author:
Ron Larson
Publisher:
Cengage Learning
College Algebra
College Algebra
Algebra
ISBN:
9781305115545
Author:
James Stewart, Lothar Redlin, Saleem Watson
Publisher:
Cengage Learning