Two types of light bulbs are manufactured by firm A and firm B. The life of bulb type A is normally distributed with mean 100 hours and variance 15. The life of bulb type B is normally distributed with mean 105 hours and variance 30. (i) What is the probability that a type A bulb will last more than 110 hours? (ii) If 20 bulbs each of type A and type B bulbs are turned on at the same time, what is the probability that type A bulbs will last longer than type B bulbs ?

Microeconomic Theory
12th Edition
ISBN:9781337517942
Author:NICHOLSON
Publisher:NICHOLSON
Chapter2: Mathematics For Microeconomics
Section: Chapter Questions
Problem 2.16P
icon
Related questions
Question
Two types of light bulbs are manufactured by
firm A and firm B. The life of bulb type
A is normally distributed with mean 100 hours
and variance 15. The life of bulb type B is
normally distributed with mean 105 hours and
variance 30.
(i) What is the probability that a type A bulb will
last more than 110 hours?
(ii) If 20 bulbs each of type A and type B bulbs
are turned on at the same time, what is the
probability that type A bulbs will last longer than
type B bulbs ?
Transcribed Image Text:Two types of light bulbs are manufactured by firm A and firm B. The life of bulb type A is normally distributed with mean 100 hours and variance 15. The life of bulb type B is normally distributed with mean 105 hours and variance 30. (i) What is the probability that a type A bulb will last more than 110 hours? (ii) If 20 bulbs each of type A and type B bulbs are turned on at the same time, what is the probability that type A bulbs will last longer than type B bulbs ?
Expert Solution
steps

Step by step

Solved in 3 steps with 3 images

Blurred answer
Knowledge Booster
Correlation Coefficient
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, economics and related others by exploring similar questions and additional content below.
Similar questions
  • SEE MORE QUESTIONS
Recommended textbooks for you
Microeconomic Theory
Microeconomic Theory
Economics
ISBN:
9781337517942
Author:
NICHOLSON
Publisher:
Cengage
Managerial Economics: A Problem Solving Approach
Managerial Economics: A Problem Solving Approach
Economics
ISBN:
9781337106665
Author:
Luke M. Froeb, Brian T. McCann, Michael R. Ward, Mike Shor
Publisher:
Cengage Learning