SOLUTION: A coin is biased so that a head is twice likely as a head. If the coin is tossed three times Find the probability distribution for the number of heads Construct a histogram for

Algebra ->  Probability-and-statistics -> SOLUTION: A coin is biased so that a head is twice likely as a head. If the coin is tossed three times Find the probability distribution for the number of heads Construct a histogram for      Log On


   



Question 1120696: A coin is biased so that a head is twice likely as a head.
If the coin is tossed three times
Find the probability distribution for the number of heads
Construct a histogram for a probability distribution.

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
A coin is biased so that a head is twice likely as a tail.
P(head) = 0.666 ; p(tail) = 0.333
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If the coin is tossed three times
Find the probability distribution for the number of heads
P(x = 0) = 0.333^3 = 0.037
P(x = 1) = 3*0.666*0.333^2 = 0.2216
P(x = 2) = 3*0.666^2*0.333 = 0.4431
P(x = 3) = 0.666^3 = 0.2954
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Construct a histogram for a probability distribution.
No tools for histograms on this site
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Cheers,
Stan H.
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