1. (See Handout 1, Example 1). The life expectancy of a particular brand of lightbulb is normally distributed with a mean of 1500 hours and a standard deviation of 75 hours. We want to calculate the probability that a lightbulb will last more than 1440 hours. a) Calculate the critical z-score. b) Label the axis and shade the area under the curve that we are interested in. Hours z-score c) What is the probability that a lightbulb will last more than 1440 hours? d) What is the probability that a lightbulb will last less than 1440 hours?

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section: Chapter Questions
Problem 22SGR
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1. (See Handout 1, Example 1). The life expectancy of a particular brand of lightbulb is
normally distributed with a mean of 1500 hours and a standard deviation of 75 hours.
We want to calculate the probability that a lightbulb will last more than 1440 hours.
a) Calculate the critical z-score.
b) Label the axis and shade the area under the curve that we are interested in.
Hours
z-score
c) What is the probability that a lightbulb will last more than 1440 hours?
d) What is the probability that a lightbulb will last less than 1440 hours?
Transcribed Image Text:1. (See Handout 1, Example 1). The life expectancy of a particular brand of lightbulb is normally distributed with a mean of 1500 hours and a standard deviation of 75 hours. We want to calculate the probability that a lightbulb will last more than 1440 hours. a) Calculate the critical z-score. b) Label the axis and shade the area under the curve that we are interested in. Hours z-score c) What is the probability that a lightbulb will last more than 1440 hours? d) What is the probability that a lightbulb will last less than 1440 hours?
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