A manufacturing plant uses 3000 electric light bulbs whose life spans are normally distributed, with mean and standard deviation equal to 500 and 50 hours, respectively. 1. 2. 3. 4. How many bulbs in this manufacturing plant will last at most 600 hours? How many light bulbs in this manufacturing plant will last for more than 600 hours? What is the probability that a randomly selected bulb in this manufacturing plant will last from 457 to 598? After how many hours should the light bulbs be replaced the manufacturing supervisor wishes no more than 20% of the bulbs to burn out between replacement periods?

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
A manufacturing plant uses 3000 electric light bulbs
whose life spans are normally distributed, with
mean and standard deviation equal to 500 and 50
hours, respectively.
1.
2.
3.
4.
How many bulbs in this manufacturing plant will last at
most 600 hours?
How many light bulbs in this manufacturing plant will last
for more than 600 hours?
What is the probability that a randomly selected bulb in
this manufacturing plant will last from 457 to 598?
After how many hours should the light bulbs be replaced if
the manufacturing supervisor wishes no more than 20%
of the bulbs to burn out between replacement periods?
Transcribed Image Text:A manufacturing plant uses 3000 electric light bulbs whose life spans are normally distributed, with mean and standard deviation equal to 500 and 50 hours, respectively. 1. 2. 3. 4. How many bulbs in this manufacturing plant will last at most 600 hours? How many light bulbs in this manufacturing plant will last for more than 600 hours? What is the probability that a randomly selected bulb in this manufacturing plant will last from 457 to 598? After how many hours should the light bulbs be replaced if the manufacturing supervisor wishes no more than 20% of the bulbs to burn out between replacement periods?
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 5 steps with 5 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