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1. Suppose the PMF of the random variable X is px(x) = .21(1.3)(x) + 6(2)(x). What is the mean of X? 2. Compute for the mean of X given the following PMF: Px(x) = (*)*(1-p)** J., (x) where n and p are constants (n is a positive integer and p is a real number between 0 and 1. (Hint: use the method discussed in Stat 117.) 3. Find the E(X) of the random variable X with the following PDF: £x(x) = 401(x) + (1,2)(x) + (−4+²)4(2,3)(x) 4. Consider a gambler who wins P50 if the sum of dots in a toss of a pair of fair dice is ther 7 or 11, and loses P10, otherwise, find the expected gain.

1. Suppose the PMF of the random variable X is px(x) = .21(1.3)(x) + 6(2)(x). What is the mean of X? 2. Compute for the mean of X given the following PMF: Px(x) = (*)*(1-p)** J., (x) where n and p are constants (n is a positive integer and p is a real number between 0 and 1. (Hint: use the method discussed in Stat 117.) 3. Find the E(X) of the random variable X with the following PDF: £x(x) = 401(x) + (1,2)(x) + (−4+²)4(2,3)(x) 4. Consider a gambler who wins P50 if the sum of dots in a toss of a pair of fair dice is ther 7 or 11, and loses P10, otherwise, find the expected gain.

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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1. Suppose the PMF of the random variable X is px(x) = .21(1.3)(x) + 6(2)(x). What is the mean of X? 2. Compute for the mean of X given the following PMF: Px(x) = (*)p*(\-— p)** .….…., (x) where n and p are constants (n is a positive integer and p is a real number between 0 and 1. (Hint: use the method discussed in Stat 117.) 3. Find the E(X) of the random variable X with the following PDF: £x(x) = 410.11(x) + 1/{(1,2)(x) + (−3+²)42,3)(x) 4. Consider a gambler who wins P50 if the sum of dots in a toss of a pair of fair dice is ther 7 or 11, and loses P10, otherwise, find the expected gain.
Transcribed Image Text:1. Suppose the PMF of the random variable X is px(x) = .21(1.3)(x) + 6(2)(x). What is the mean of X? 2. Compute for the mean of X given the following PMF: Px(x) = (*)p*(\-— p)** .….…., (x) where n and p are constants (n is a positive integer and p is a real number between 0 and 1. (Hint: use the method discussed in Stat 117.) 3. Find the E(X) of the random variable X with the following PDF: £x(x) = 410.11(x) + 1/{(1,2)(x) + (−3+²)42,3)(x) 4. Consider a gambler who wins P50 if the sum of dots in a toss of a pair of fair dice is ther 7 or 11, and loses P10, otherwise, find the expected gain.
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