FIND THE PROBABILITY DISTRIBUTION OF THE NO. OF TAILS IN TWO TOSSES OF A COIN.
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Let random variables X denotes the number of Tails, then X can take the values 0,1 & 2 .
P = probability of getting an tail in a throw of coin = ½, w = 1 - P = ½
p(0) = qq = ½×½×¼
p(1) = pq + qp = { ½×½} + { ½×½} = ¼+¼= ½
p(2) = pp = {½×½} = ¼
Thus, the probability distribution is:
X = P(X)
0 = ¼
1 = ½
2 = ¼
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