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1. The discrete random variable X has a probability mass function (0.1, x=-2,-1 B. x=0,1 x = 2 otherwise P(X=x) = 0.2, [0, (a) Find the value of B. (b) Construct the probability mass distribution of X. (c) Write the cumulative distribution function of X in functional form.

1. The discrete random variable X has a probability mass function (0.1, x=-2,-1 B. x=0,1 x = 2 otherwise P(X=x) = 0.2, [0, (a) Find the value of B. (b) Construct the probability mass distribution of X. (c) Write the cumulative distribution function of X in functional form.

A First Course in Probability (10th Edition)
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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1. The discrete random variable X has a probability mass function x = -2,-1 x = 0,1 x = 2 otherwise P(X=x)=- (0.1, B. 0.2, (a) Find the value of B. (b) Construct the probability mass distribution of X. (c) Write the cumulative distribution function of X in functional form. F(x)= 2. The discrete random variable X has a cumulative distribution function F(x) defined by x<1 [0. 8 where k is a constant and x an integer. (a) Find the value of k if P(X=4)= (b) Write the probability mass function of X. [0, x+k 8 |1. 1≤x≤3. x>3 3. Two chess players, Hello and Kitty, are playing each other in a series of games. The probability that Hello wins the first game is 0.3. If Hello wins any game, the probability that she wins the next is 0.4; otherwise, the probability is 0.2. For a series of three games, find the probability of X, the number of games that Hello wins.
Transcribed Image Text:1. The discrete random variable X has a probability mass function x = -2,-1 x = 0,1 x = 2 otherwise P(X=x)=- (0.1, B. 0.2, (a) Find the value of B. (b) Construct the probability mass distribution of X. (c) Write the cumulative distribution function of X in functional form. F(x)= 2. The discrete random variable X has a cumulative distribution function F(x) defined by x<1 [0. 8 where k is a constant and x an integer. (a) Find the value of k if P(X=4)= (b) Write the probability mass function of X. [0, x+k 8 |1. 1≤x≤3. x>3 3. Two chess players, Hello and Kitty, are playing each other in a series of games. The probability that Hello wins the first game is 0.3. If Hello wins any game, the probability that she wins the next is 0.4; otherwise, the probability is 0.2. For a series of three games, find the probability of X, the number of games that Hello wins.
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