4.2.6 A component of a computer has an active life, measured in discrete units, that is a random variable T where Pr{T Pr{T = 1}=0.1, 2)=0.2, Pr{T=3} = 0.3, Pr{T=4} = 0.4. Suppose one starts with a fresh component, and each component is replaced by a new component upon failure. Determine the long run probability that a failure occurs in a given period.

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.CR: Chapter 13 Review
Problem 8CR
Question

Please do the following questions with full handwritten working out. Answer is in the other image 

4.2.6 A component of a computer has an active life, measured in discrete units, that
is a random variable T where
Pr{T
Pr{T
=
1}=0.1,
2)=0.2,
Pr{T=3} = 0.3,
Pr{T=4} = 0.4.
Suppose one starts with a fresh component, and each component is replaced by
a new component upon failure. Determine the long run probability that a failure
occurs in a given period.
Transcribed Image Text:4.2.6 A component of a computer has an active life, measured in discrete units, that is a random variable T where Pr{T Pr{T = 1}=0.1, 2)=0.2, Pr{T=3} = 0.3, Pr{T=4} = 0.4. Suppose one starts with a fresh component, and each component is replaced by a new component upon failure. Determine the long run probability that a failure occurs in a given period.
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