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?

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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TOPIC: Continuous Probability Distributions

1. The probability density function of the life span of a battery is given by the function below, wheret
is in years.
S 1.25e- 1.25t
if t >0
f (t)
||
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?

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