Question

Three Coins are tossed. Let T be the number of tails that occur.

a. Construct the probability Distribution for the random variable T.

b. Construct the probability histogram.

Answer 1

a)

The possible outcomes are as follows;

Outcome HHH HHT HTT HTH THH TTH THT TTT

Number of tails 0 1 2 1 1 2 2 3

The probability distribution of the random variable T will be;

number of tails(T) 0 1 2 3

Probability 1/8 3/8 3/8 1/8

b)

Probability histogram