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
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter9: Multivariable Calculus
Section9.3: Maxima And Minima
Problem 35E
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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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