Please answer this question with details on how to do it. Thank you. 9.) An average light bulb manufactured in a factory lasts 280 days with a standard deviation of 45 days. Assumethat bulb life is normally distributed. a.) What is the probability that an Acme light bulb will last at most 360 days? b.) What bulb life separates the bottom 12%?

Please answer this question with details on how to do it. Thank you. 9.) An average light bulb manufactured in a factory lasts 280 days with a standard deviation of 45 days. Assumethat bulb life is normally distributed. a.) What is the probability that an Acme light bulb will last at most 360 days? b.) What bulb life separates the bottom 12%?

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

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.4: Distributions Of Data

Problem 19PFA

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Question

Please answer this question with details on how to do it. Thank you.

9.) An average light bulb manufactured in a factory lasts 280 days with a standard deviation of 45 days. Assumethat bulb life is normally distributed.

a.) What is the probability that an Acme light bulb will last at most 360 days?

b.) What bulb life separates the bottom 12%?

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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