Answered: A certain manufacturer makes 400 W…

Big Ideas Math A Bridge To Success Algebra 1: Student Edition 2015

1st Edition

ISBN:9781680331141

Author:HOUGHTON MIFFLIN HARCOURT

Publisher:HOUGHTON MIFFLIN HARCOURT

Chapter9: Solving Quadratic Functions

Section: Chapter Questions

Problem 4CA

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Question

A certain manufacturer makes

400

W light bulbs. Assume that these light bulbs have lifetimes that are normally distributed with a mean lifetime of

392

hours and a standard deviation of

64 hours.

Use this table or the ALEKS calculator to find the percentage of light bulbs with lifetimes shorter than 440 hours. For your intermediate computations, use four or more decimal places. Give your final answer to two decimal places (for example 98.23%).

Features Features Normal distribution is characterized by two parameters, mean (µ) and standard deviation (σ). When graphed, the mean represents the center of the bell curve and the graph is perfectly symmetric about the center. The mean, median, and mode are all equal for a normal distribution. The standard deviation measures the data's spread from the center. The higher the standard deviation, the more the data is spread out and the flatter the bell curve looks. Variance is another commonly used measure of the spread of the distribution and is equal to the square of the standard deviation.

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