Question

The sample space, S. of a coin being tossed three times is shown below, where H and T denote the

coin landing on heads and tails respectively.
S = {HHH, HHT, HTH, HTT, THH, THT, TTH, TTT}
Let X = the number of times the coin comes up heads. What is the probability distribution for the
number of heads occurring in three coin tosses?
0
1
3
1
4
5
8
X
p (X)
X
p(x)
2
1
4
3
1
3
1
4
2
1
3
1
4
1
4
6
2
3
7
2
3
2
3
1
3
0
1
2
3
4
5
6
7
8
X
0
1
2
3
X 1
(x) 1
1
2
3
2
3
1
3
2
13
1
3
1
3
0
P(X)
1
8
3
8
3
8
8

Answer 1

It’s c(23). Because it’s that’s your welcome

Answer 2

P(X1) = 1, P(X2)= 2/3, P(X3)= 2/3, P(X4)= 1/3, P(X5)= 2/3, P(X6)= 1/3, P(X7)= 1/3 and P(X8)= 0

Explanation: