Question

. Let T be a random variable giving the number of heads in

three tosses of a coin. List the elements of the sample

space S for the three tosses of the coin and assign a value

to each sample point.

Answer 1

The sample space $S$ is given as,

$S=\{HHH,HHT,HTH,HTT,THH,THT,TTH,TTT\}$

Let $T$ be the number of heads then, the random variable may take on the values 0,1,2,3 that is, $t=0,1,2,3$.

Assigning values to each sample point.

Sample point value (t)

HHH 3

HHT 2

HTH 2

HTT 1

THH 2

THT 1

TTH 1

TTT 0

Where the value $t$ is the number of heads in each of the sample points.