Let X be a random variable with the following probability function

fx(x)=p(1-p), z = 0,1,2,..., 0

Show that the moment generating function (mgf) Mx (t) of the random variable X is given by

Mx(t) = P / 1-(1-p)eᵗt <-log(1-p)

Question

15-06-2024
Mathematics

Answered

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Let X be a random variable with the following probability function

fx(x)=p(1-p), z = 0,1,2,..., 0

Show that the moment generating function (mgf) Mx (t) of the random variable X is given by

Mx(t) = P / 1-(1-p)eᵗt <-log(1-p)

Sagot :

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Let X be a random variable with the following probability function fx(x)=p(1-p), z = 0,1,2,..., 0Show that the moment generating function (mgf) Mx (t) of the random variable X is given by Mx(t) = P / 1-(1-p)eᵗt <-log(1-p)

Sagot :

Other Questions

Let X be a random variable with the following probability function

fx(x)=p(1-p), z = 0,1,2,..., 0

Show that the moment generating function (mgf) Mx (t) of the random variable X is given by

Mx(t) = P / 1-(1-p)eᵗt <-log(1-p)