2. Given the cumulative distribution function of a discrete random variable, X asF(x)= dx-2)(c-1xx= 3,4,5,6(a) Find the value of constant c.(b) Evaluate P(X <4)(c) Find the mode.(d) Calculate the value of E(X) and E(x²).(e) Hence, find E(1–2X) and Var(1–2X).

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2. Given the cumulative distribution function of a discrete random variable, X as F(X)= dr-2) (c–1)x x= 3,4,5,6 (a) Find the value of constant e . (b) Evaluate P(X 54) (c) Find the mode. (d) Calculate the value of E(X) and E(x²). (e) Hence, find E(1–2x) and Var(1–2X).

2. Given the cumulative distribution function of a discrete random variable, X as F(X)= dr-2) (c–1)x x= 3,4,5,6 (a) Find the value of constant e . (b) Evaluate P(X 54) (c) Find the mode. (d) Calculate the value of E(X) and E(x²). (e) Hence, find E(1–2x) and Var(1–2X).

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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2. Given the cumulative distribution function of a discrete random variable, X as
F(x)= dx-2)
(c-1x
x= 3,4,5,6
(a) Find the value of constant c.
(b) Evaluate P(X <4)
(c) Find the mode.
(d) Calculate the value of E(X) and E(x²).
(e) Hence, find E(1–2X) and Var(1–2X).

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