Let your experiment be to toss 3 coins at the same time and

Let your experiment be to toss 3 coins at the same time and let the random variable (RV) X be the number head. What is F(1.5) where F(x) is the (cumulative) distribution function (CDF)? Give answer in decimal form!

Solution

Since the number of heads on tossing 3 coins is a discrete variable; the CDF can be discretized as well.

So,

F ( 1.5 ) = F ( 0 ) + F ( 1 )

F ( 0 ) = probability of one head

= 1 / 8

F ( 1 ) = 3 / 8

Thus,

F ( 1.5) = 0.5

hope this helps.