Question

Suppose a coin is tossed two times. Let T be the random variable representing the number of tails that occur. Find the values of the random variable T and construct its probability distributions.

Answer 1

The values of the random variable T: 0, 1, 2.

$P(T=0)=(\frac{1}{2})^2=\frac{1}{4}.$

$P(T=1)=(\frac{1}{2})^2*2=\frac{1}{2}.$

$P(T=2)=(\frac{1}{2})^2=\frac{1}{4}.$