Question

Two coins are tossed.Let T the number of tails that occur

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

b. Construct The probability histogram.

Answer 1

Sample space S={HH,HT,TH,TT,}

There are total 4 sample space

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

$P(T=0)=\dfrac{1}{4}$

$P(T=1)=\dfrac{1}{2}$

$P(T=2)=\dfrac{1}{4}$

(a) Probability Distribution is-

(b) and Histogram is-