An experiment which consists of tossing two fair coins is pe

An experiment, which consists of tossing two fair coins, is performed. Let Y be the random variable, which denotes the number of heads appearing. What is the distribution of Y? (Find the probability of all the possible values Y can take).

Solution

tossing of two coins

let H denote head and T denote tail

so possible outcomes are

HH,HT,TH,TT

Y denotes the number of heads so

distribution of Y is given by\'

P(Y=0) =0.25

P(Y=1) =0.50

P(Y=2) =0.25