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
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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