The lifetime of an LED bulb follows a lognormal distribution. Suppose that the mean and standard deviation of the lifetime are 28,000 hours and 40,000 hours, respectively. a. What are the parameters 8 and w of the lognormal distribution? b. What is the probability that the lifetime of a bulb exceeds 30,000 hours? c. Determine the lifetime that is exceeded by 95% of the bulbs.

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
icon
Related questions
Question
The lifetime of an LED bulb follows a lognormal distribution. Suppose that the mean and
standard deviation of the lifetime are 28,000 hours and 40,000 hours, respectively.
a. What are the parameters and w of the lognormal distribution?
b. What is the probability that the lifetime of a bulb exceeds 30,000 hours?
c. Determine the lifetime that is exceeded by 95% of the bulbs.
Transcribed Image Text:The lifetime of an LED bulb follows a lognormal distribution. Suppose that the mean and standard deviation of the lifetime are 28,000 hours and 40,000 hours, respectively. a. What are the parameters and w of the lognormal distribution? b. What is the probability that the lifetime of a bulb exceeds 30,000 hours? c. Determine the lifetime that is exceeded by 95% of the bulbs.
Expert Solution
steps

Step by step

Solved in 4 steps with 1 images

Blurred answer
Similar questions
Recommended textbooks for you
A First Course in Probability (10th Edition)
A First Course in Probability (10th Edition)
Probability
ISBN:
9780134753119
Author:
Sheldon Ross
Publisher:
PEARSON
A First Course in Probability
A First Course in Probability
Probability
ISBN:
9780321794772
Author:
Sheldon Ross
Publisher:
PEARSON