M-5 Please I need help with this question needed very clearly and step by step explanation and NEEDED ONLY TYPED SOLUTIONS PLEASE NO HANDWRITTEN please, will be really appreciated for your help.NEEDED ONLY TYPED SOLUTIONSNEEDED ONLY PART A and B only 3. Let X be a discrete random variable and let Mx(t) be its moment-generating function. DefineRx(t) = In(Mx(t)).(a) Show that Rx(0) = 0.(b) Show that R'x(0) = E(X).(c) Show that RK (0) = V(X).(d) Suppose that Mx(t) = e5(et–1). Find E(X) and V(X) in two different ways: first by differen-tiating Mx(t), and then by differentiating Rx(t).

Answered: Image /qna-images/answer/dee7c3ef-8cf3-4e6b-a18b-02b92199e5b4.jpg

Let X be a discrete random variable and let Mx(t) be its moment-generating function. Rx(t) = In(Mx(t)). Define (a) Show that Rx(0) = 0. (b) Show that R'x (0) = E(X). (c) Show that R' (0) = V(X). (d) Suppose that Mx(t) = e5(e*-1). Find E(X) and V(X) in two different ways: first by differen- tiating Mx(t), and then by differentiating Rx(t). %3D

Let X be a discrete random variable and let Mx(t) be its moment-generating function. Rx(t) = In(Mx(t)). Define (a) Show that Rx(0) = 0. (b) Show that R'x (0) = E(X). (c) Show that R' (0) = V(X). (d) Suppose that Mx(t) = e5(e*-1). Find E(X) and V(X) in two different ways: first by differen- tiating Mx(t), and then by differentiating Rx(t). %3D

Trigonometry (MindTap Course List)

10th Edition

ISBN:9781337278461

Author:Ron Larson

Publisher:Ron Larson

Chapter6: Topics In Analytic Geometry

Section6.4: Hyperbolas

Problem 5ECP: Repeat Example 5 when microphone A receives the sound 4 seconds before microphone B.

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M-5 Please I need help with this question needed very clearly and step by step explanation and NEEDED ONLY TYPED SOLUTIONS PLEASE NO HANDWRITTEN please, will be really appreciated for your help.

NEEDED ONLY TYPED SOLUTIONS

NEEDED ONLY PART A and B only

3. Let X be a discrete random variable and let Mx(t) be its moment-generating function. Define
Rx(t) = In(Mx(t)).
(a) Show that Rx(0) = 0.
(b) Show that R'x(0) = E(X).
(c) Show that RK (0) = V(X).
(d) Suppose that Mx(t) = e5(et–1). Find E(X) and V(X) in two different ways: first by differen-
tiating Mx(t), and then by differentiating Rx(t).

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