Question

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.

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)