Question

Construct the discrete probability distribution for the random variable described. Express the probabilities as simplified fractions....

Construct the discrete probability distribution for the random variable described. Express the probabilities as simplified fractions. The number of tails in 5 tosses of a coin.

Homework Answers

Answer #1

Solution:

The number of heads possible in 5 tosses of a coin are 0,1,2,3,4,5

The total number of outcomes are

Now we will get following Probability distribution:
(Head, Probability)
0 ,1/32 ----------------> All tails {TTTTT}
1 ,5/32 --------------> {HTTTT}, {THTTT},{TTHTT},{TTTHT}, {TTTTH} and  so on....
2 ,10/32 (or 5/16)
3 ,10/32 (or 5/16)
4 ,5/32
5 ,1/32

The Probability distribution is

X 0 1 2 3 4 5
P(X)
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