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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 tth, then R(tth) = 2. Suppose that the random variable X is defined in terms of R as follows: X=R - 3R-4. The values of X are given in the table below. Outcome hth | hht |hhh| tth thh htt tht ttt Value of X -6 -6 -4 -6 -6 -6 -6 -4 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) O

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 tth, then R(tth) = 2. Suppose that the random variable X is defined in terms of R as follows: X=R - 3R-4. The values of X are given in the table below. Outcome hth | hht |hhh| tth thh htt tht ttt Value of X -6 -6 -4 -6 -6 -6 -6 -4 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) O

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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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 tth, then R (tth) = 2. Suppose that the random variable X is defined in terms of R as follows: X=R – 3R-4. The values of X are given in the table below. Outcome hth|hht|hhh tth | thh htt tht ttt Value of X -6 -6 -4 -6 -6 -6 -6 -4 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) O 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 tth, then R (tth) = 2. Suppose that the random variable X is defined in terms of R as follows: X=R – 3R-4. The values of X are given in the table below. Outcome hth|hht|hhh tth | thh htt tht ttt Value of X -6 -6 -4 -6 -6 -6 -6 -4 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) O O
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