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)

Big Ideas Math A Bridge To Success Algebra 1: Student Edition 2015

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Chapter4: Writing Linear Equations

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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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