MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
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Suppose that the genders of the three children of a certain family are soon to be revealed. Outcomes are thus triples of "girls" (g) and "boys" (b), which we
write gbg, bbb, etc. For each outcome, let R be the random variable counting the number of girls in each outcome. For example, if the outcome is bgg, then
R(bgg) = 2. Suppose that the random variable X is defined in terms of R as follows: X= 2R-R-3. The values of X are given in the table below.
Outcome bbg gbb gbg bbb bgb ggg bgg ggb
Value of X -2
-D2
-3
-3
-2
-6
-3 -3
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)
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Transcribed Image Text:Suppose that the genders of the three children of a certain family are soon to be revealed. Outcomes are thus triples of "girls" (g) and "boys" (b), which we write gbg, bbb, etc. For each outcome, let R be the random variable counting the number of girls in each outcome. For example, if the outcome is bgg, then R(bgg) = 2. Suppose that the random variable X is defined in terms of R as follows: X= 2R-R-3. The values of X are given in the table below. Outcome bbg gbb gbg bbb bgb ggg bgg ggb Value of X -2 -D2 -3 -3 -2 -6 -3 -3 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)
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