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PROBLEM NUMBER 9 For a brand of light bulb, the probability density function of the life span of the light bulb is given by the function below, where t is in months. f (t) = 0.04eift 20 if t < 0 0 (a) Verify that f (t) is a probability density function. (b) What is the probability that a light bulb will have a life span less than 8 months? (c) What is the probability that a light bulb will have a life span more than 20 months?

PROBLEM NUMBER 9 For a brand of light bulb, the probability density function of the life span of the light bulb is given by the function below, where t is in months. f (t) = 0.04eift 20 if t < 0 0 (a) Verify that f (t) is a probability density function. (b) What is the probability that a light bulb will have a life span less than 8 months? (c) What is the probability that a light bulb will have a life span more than 20 months?

A First Course in Probability (10th Edition)
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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PROBLEM NUMBER 9 For a brand of light bulb, the probability density function of the life span of the light bulb is given by the function below, where t is in months. f (t) = {8 0 0.04eift 20 if t < 0 (a) Verify that f (t) is a probability density function. (b) What is the probability that a light bulb will have a life span less than 8 months? (c) What is the probability that a light bulb will have a life span more than 20 months? (d) What is the probability that a light bulb will have a life span between 14 and 30 months? (e) Determine the mean value of the life span of the light bulbs.
Transcribed Image Text:PROBLEM NUMBER 9 For a brand of light bulb, the probability density function of the life span of the light bulb is given by the function below, where t is in months. f (t) = {8 0 0.04eift 20 if t < 0 (a) Verify that f (t) is a probability density function. (b) What is the probability that a light bulb will have a life span less than 8 months? (c) What is the probability that a light bulb will have a life span more than 20 months? (d) What is the probability that a light bulb will have a life span between 14 and 30 months? (e) Determine the mean value of the life span of the light bulbs.
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