Math Problem Statement
Suppose that the lifetimes of light bulbs are approximately normally distributed, with a mean of
5656
hours and a standard deviation of
3.23.2
hours. With this information, answer the following questions.
(a) What proportion of light bulbs will last more than
6262
hours?
(b) What proportion of light bulbs will last
5353
hours or less?
(c) What proportion of light bulbs will last between
5858
and
6161
hours?
(d) What is the probability that a randomly selected light bulb lasts less than
4646
hours?
Solution
Ask a new question for Free
By Image
Drop file here or Click Here to upload
Math Problem Analysis
Mathematical Concepts
Probability
Statistics
Normal Distribution
Formulas
Z = (x - μ) / σ
Theorems
Empirical Rule for Normal Distribution
Standard Normal Distribution
Suitable Grade Level
Grades 10-12
Related Recommendation
Probability of Light Bulb Lifetimes Using Normal Distribution
Expected Number of Light Bulbs Lasting Between 1050 and 1140 Hours Using Normal Distribution
Calculate Probability Using Normal Distribution - Lightbulb Lifespan Example
Empirical Rule: Percentage of Lightbulb Requests Between 17 and 39
Statistics Problem: Calculate Mean, Median, and Frequency Distribution for Light Bulb Lifespan