Suppose that the lifetimes of light bulbs are approximately normally distributed, with a mean of 57 hours and a standard deviation of 3.5 hours. With this information, answer the followir questions. a) What proportion of light bulbs will last more than 61 hours? (b) What proportion of light bulbs will last 50 hours or less? (c) What proportion of light bulbs will last between 58 and 61 hours? d) What is the probability that a randomly selected light bulb lasts less than 45 hours? a) The proportion of light bulbs that last more than 61 hours is Round to four decimal places as needed.)

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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Suppose that the lifetimes of light bulbs are approximately normally distributed, with a mean of 57 hours and a standard deviation of 3.5 hours. With this information, answer the following
questions.
(a) What proportion of light bulbs will last more than 61 hours?
(b) What proportion of light bulbs will last 50 hours or less?
(c) What proportion of light bulbs will last between 58 and 61 hours?
(d) What is the probability that a randomly selected light bulb lasts less than 45 hours?
(a) The proportion of light bulbs that last more than 61 hours is.
(Round to four decimal places as needed.)
Transcribed Image Text:Suppose that the lifetimes of light bulbs are approximately normally distributed, with a mean of 57 hours and a standard deviation of 3.5 hours. With this information, answer the following questions. (a) What proportion of light bulbs will last more than 61 hours? (b) What proportion of light bulbs will last 50 hours or less? (c) What proportion of light bulbs will last between 58 and 61 hours? (d) What is the probability that a randomly selected light bulb lasts less than 45 hours? (a) The proportion of light bulbs that last more than 61 hours is. (Round to four decimal places as needed.)
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