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 therandom variable counting the number of heads in each outcome. For example, if the outcome is ttt, then R(ttt) = 0. Suppose that the random variable X isdefined in terms of R as follows: X= 2R- 4R-4. The values of X are given in the table below.Outcomettt tth hht thh tht hhh htththValue of X-4-6 -4-4-6-4Calculate 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 appropriateprobabilities in the second row.Value x of XPx (x)olo

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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

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter10: Sequences, Series, And Probability

Section10.8: Probability

Problem 32E

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Question

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 heads in each outcome. For example, if the outcome is ttt, then R(ttt) = 0. Suppose that the random variable X is
defined in terms of R as follows: X= 2R- 4R-4. The values of X are given in the table below.
Outcome
ttt tth hht thh tht hhh htthth
Value of X
-4
-6 -4
-4
-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)
olo

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