Answer to Question #177938 in Statistics and Probability for Rogin marbella

Question

Construct the probability distribution for the random variables describe each following situations. Draw the corresponding histogram for each probability distribution. Label it properly

1. Let T be a random variable giving the number of tails 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.

Valueof the Random Variable T

(Number of Tails)

Probability P(T)

Answer 1

Sample space S={HHH,HHT,HTH,HTT,THH,THT,TTH,TTT}

There are total 8 sample space

The value of T can be 0,1,2,3

$P(T=0)=\dfrac{1}{8}$

$P(T=1)=\dfrac{3}{8}$

$P(T=2)=\dfrac{3}{8}$

$P(T=3)=\dfrac{1}{8}$

Probability Distribution is-

and Histogram is-