A manufacturer knows that their items have a normally distributed lifespan, with a mean of 2.6 years, and standard deviation of 0.6 years. If you randomly purchase one item, what is the probability it will last longer than 4 years? Question Help: Video

A manufacturer knows that their items have a normally distributed lifespan, with a mean of 2.6 years, and standard deviation of 0.6 years. If you randomly purchase one item, what is the probability it will last longer than 4 years? Question Help: Video

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.5: Comparing Sets Of Data

Problem 3CYU

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Question

normal distribution

A manufacturer knows that their items have a normally distributed lifespan, with a mean of 2.6 years, and
standard deviation of 0.6 years.
If you randomly purchase one item, what is the probability it will last longer than 4 years?
Question Help: Video

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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