Answered: The amount of time a certain brand of…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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100%

Normal Distribution - Find Area

Transcribed Image Text:### Understanding Normal Distribution in Light Bulb Lifespan 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? To find the probability, you can use a statistics calculator. --- **Statistics Calculator** **Answer:** [Input Box] [Submit Answer Button] Instructions: 1. Enter the required value in the input box above. 2. Click "Submit Answer" to check your result. For more information on how to calculate probabilities using the normal distribution, refer to our educational resources on statistics. ---

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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