The probability density function of the life span of a battery is given by the function below, where t is in years. 1.25t ift > 0 f(t) = { 1 1.25e 0 ift < 0 a.) Verify that f(t) is a probability density function. b.) What is the probability that a battery will have a life span less than 10 months? c.) What is the probability that a battery will have a life span more than 2 years? d.) What is the probability that a battery will have a life span between 1.5 and 4 years? e.) Determine the mean value of the life span of the batteries.
The probability density function of the life span of a battery is given by the function below, where t is in years. 1.25t ift > 0 f(t) = { 1 1.25e 0 ift < 0 a.) Verify that f(t) is a probability density function. b.) What is the probability that a battery will have a life span less than 10 months? c.) What is the probability that a battery will have a life span more than 2 years? d.) What is the probability that a battery will have a life span between 1.5 and 4 years? e.) Determine the mean value of the life span of the batteries.
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
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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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![The probability density function of the life span of a battery is given by the function below, where t
is in years.
1.25t
ƒ (t) = { 1
1.25e
ift ≥ 0
ift < 0
a.) Verify that f(t) is a probability density function.
b.) What is the probability that a battery will have a life span less than 10 months?
c.) What is the probability that a battery will have a life span more than 2 years?
d.) What is the probability that a battery will have a life span between 1.5 and 4 years?
e.) Determine the mean value of the life span of the batteries.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F3650f16f-c500-4029-99c4-fc841bf1203e%2F77e94eaa-2136-4718-a9da-b43024d595bf%2Ftpteggd_processed.png&w=3840&q=75)
Transcribed Image Text:The probability density function of the life span of a battery is given by the function below, where t
is in years.
1.25t
ƒ (t) = { 1
1.25e
ift ≥ 0
ift < 0
a.) Verify that f(t) is a probability density function.
b.) What is the probability that a battery will have a life span less than 10 months?
c.) What is the probability that a battery will have a life span more than 2 years?
d.) What is the probability that a battery will have a life span between 1.5 and 4 years?
e.) Determine the mean value of the life span of the batteries.
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