A continuous random variable T (in years) of the lifespan of a device has the followingprobability density functionf (t) = {3 pt", Osts2otherwisewhere p is a constant,(a)Determine the value of p.(b)Find the cumulative distribution function of T, F(t).(c)If U =ÉT+1 determine E(U) and Var(U).

Provided information is, a continuous random variable T (in years) of the lifespan of device has…

6 A continuous random variable T (in years) of the lifespan of a device has the foll probability density function 2, Osis2 f(t)={3 otherwise where p is a constant, (a) Determine the value of p. (b) Find the cumulative distribution function of T, F(t). 2. If U =T+1 determine E(U) and Var(U). (c)

6 A continuous random variable T (in years) of the lifespan of a device has the foll probability density function 2, Osis2 f(t)={3 otherwise where p is a constant, (a) Determine the value of p. (b) Find the cumulative distribution function of T, F(t). 2. If U =T+1 determine E(U) and Var(U). (c)

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 29CR

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Question

A continuous random variable T (in years) of the lifespan of a device has the following
probability density function
f (t) = {3 pt", Osts2
otherwise
where p is a constant,
(a)
Determine the value of p.
(b)
Find the cumulative distribution function of T, F(t).
(c)
If U =ÉT+1 determine E(U) and Var(U).

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