The amount of time a certain brand of light bulb lasts is normally distributed with a mean of 1600 hours and a standard deviation of 75 hours. What is the probability that a randomly chosen light bulb will last less than 1460 hours, to the nearest thousandth?

The amount of time a certain brand of light bulb lasts is normally distributed with a mean of 1600 hours and a standard deviation of 75 hours. What is the probability that a randomly chosen light bulb will last less than 1460 hours, to the nearest thousandth?

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 4CYU

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Normal Distribution - Find Area

Transcribed Image Text:The amount of time a certain brand of light bulb lasts is normally distributed with a mean of 1600 hours and a standard deviation of 75 hours. What is the probability that a randomly chosen light bulb will last less than 1460 hours, to the nearest thousandth? Statistics Calculator Answer: Submit Answer

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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