SOLUTION: Let W be a random variable given the number of heads minus the number of tails in three tosses of a coin. Assuming the coin is biased so that a head is likely to occur as a tail. F

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Question 978900: Let W be a random variable given the number of heads minus the number of tails in three tosses of a coin. Assuming the coin is biased so that a head is likely to occur as a tail. Find the probability distribution of W.
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
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I'm assuming you mean the coin in unbiased so that heads is as likely as tails.
So W can take on four values {-3,-1,1,3} with the respective number of outcomes {1,3,3,1}
So the probability distribution is,
P%28-3%29=1%2F8
P%28-1%29=3%2F8
P%281%29=3%2F8
P%283%29=1%2F8