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?
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter13: Probability And Calculus
Section13.3: Special Probability Density Functions
Problem 2YT: YOUR TURN Repeat Example 2 for a flashlight battery with a useful life given by the probability...
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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.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F6cd8752a-28ee-48a6-9bca-25e6a383a99c%2F131fce61-cb21-4c53-af8b-fd185e9c128d%2Fyv1tb3a_processed.png&w=3840&q=75)
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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