Answered: You purchase a chainsaw and can buy one…

College Algebra

10th Edition

ISBN:9781337282291

Author:Ron Larson

Publisher:Ron Larson

Chapter8: Sequences, Series,and Probability

Section8.7: Probability

Problem 11ECP: A manufacturer has determined that a machine averages one faulty unit for every 500 it produces....

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You purchase a chainsaw and can buy one of two types of batteries to power it, namely Duxcell and Infinitycell. Batteries of each type have lifetimes before recharge than can be assumed independent and normally distributed. The mean and standard deviation of the lifetimes of the Duxcell batteries are 9 and 4 minutes, respectively and the mean and standard deviation for the Infinitycell batteries are 16 and 4 minutes respectively. What is the probability that an Infinitycell battery will last more than twice as long as a Duxcell battery? Give your answer to four decimal places.

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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