TOPIC: Continuous Probability Distributions 1. The probability density function of the life span of a battery is given by the function below, wheretis in years.S 1.25e- 1.25tif t >0f (t)||ift < 0a.) 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?

Given,f(t)=1.25e-1.25tif t≥00if t<0

1. The probability density function of the life span of a battery is given by the function below, where t is in years. 1.25e-1.25t ift >0 f (t) = {0 if t < 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?

1. The probability density function of the life span of a battery is given by the function below, where t is in years. 1.25e-1.25t ift >0 f (t) = {0 if t < 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?

College Algebra

1st Edition

ISBN:9781938168383

Author:Jay Abramson

Publisher:Jay Abramson

Chapter6: Exponential And Logarithmic Functions

Section6.7: Exponential And Logarithmic Models

Problem 27SE: Prove that bx=exln(b) for positive b1 .

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