Question

Tossing Four Coins Four coins are tossed. Let H be the random variable representing the number of the heads occur. Find the values and construct the probability distribution of the random variable H

Answer 1

Let

Head=1

Tail=0

H=0,1,2,3,4

Samples:

1 sample: 0000 (H=0)

4 samples : 1000, 0100, 0010, 0001 (H=1)

6 samples: 1100, 0110, 0011, 1010, 0101, 1001 (H=2)

4 samples: 1110, 0111, 1101, 1011 (H=3)

1 sample: 1111 (H=4)

Total number of samples = 16

The probability distribution: