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let x be the variable that results from determining the number that represents two and a...

let x be the variable that results from determining the number that represents two and a half times the number of shields minus one and a half times the number of crowns in three launches of a coin. List the elements for the 3 coin tosses and assign a value x from X to each sample point. determine the probability distribution, the mean of the distribution, the aculated distribution and the variance

Math   Statistics-And-Probability   
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Answer #1

The sample space S for the three tosses of the coin is

Head is the number of shields

Tail is the number of crowns

HHH, HHT, HTH, THH, HTT, THH, THT, TTT

HHH 7.5
HHT 3.5
HTH 3.5
THH 3.5
TTH -0.5
THT -0.5
HTT -0.5
TTT -4.5

X takes value (7.5, 3.5, -0.5, -4.5)

Let us assume the coin is unbiased.

Mean

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