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An ordinary (fair) coin is tossed 3 times. Outcomes are thus triples of "heads" (h) and "tails" (t) which we write hth, ttt, etc. For each outcome, let R be the random variable counting the number of tails in each outcome. For example, if the outcome is ttt, then R (ttt)=3. Suppose that the random variable X is defined in terms of R as follows: X= R-R-1. The values of X are given in the table below. Outcome hhh ttt tth thh hth tht hht htt Value of X -1 5 1 - 1 - 1 1 - 1 1

An ordinary (fair) coin is tossed 3 times. Outcomes are thus triples of "heads" (h) and "tails" (t) which we write hth, ttt, etc. For each outcome, let R be the random variable counting the number of tails in each outcome. For example, if the outcome is ttt, then R (ttt)=3. Suppose that the random variable X is defined in terms of R as follows: X= R-R-1. The values of X are given in the table below. Outcome hhh ttt tth thh hth tht hht htt Value of X -1 5 1 - 1 - 1 1 - 1 1

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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An ordinary (fair) coin is tossed 3 times. Outcomes are thus triples of "heads" (h) and "tails" (t) which we write hth, ttt, etc. For each outcome, let R be the random variable counting the number of tails in each outcome. For example, if the outcome is ttt, then R (ttt)=3. Suppose that the random variable X is defined in terms of R as follows: X=R- R-1. The values of X are given in the table below. Outcome hhh ttt tth thh hth tht hht htt Value of X 1 - 1 - 1 1 -1 Calculate the values of the probability distribution function of X, i.e. the function py. First, fill in the first row with the values of X. Then fill in the appropriate probabilities in the second row. Value x of X|| Px (x) olo O
Transcribed Image Text:An ordinary (fair) coin is tossed 3 times. Outcomes are thus triples of "heads" (h) and "tails" (t) which we write hth, ttt, etc. For each outcome, let R be the random variable counting the number of tails in each outcome. For example, if the outcome is ttt, then R (ttt)=3. Suppose that the random variable X is defined in terms of R as follows: X=R- R-1. The values of X are given in the table below. Outcome hhh ttt tth thh hth tht hht htt Value of X 1 - 1 - 1 1 -1 Calculate the values of the probability distribution function of X, i.e. the function py. First, fill in the first row with the values of X. Then fill in the appropriate probabilities in the second row. Value x of X|| Px (x) olo O
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