Consider the experiment in which a person flips a loaded coi

Consider the experiment in which a person flips a loaded coin such that head is three times more likely to appears than tail. Suppose that the coin is flipped 3 times.

Solution

Let X---> represents number of heads appeared

P(x)----> represents corresponding probability value

Suppose the coin is flipped 3 times then the expected number of Heads will appear

E(x) = 0 x 1/8 + 1 x 3/8 + 2 x 3/8 + 3 x 1/8 = 12/8

==> 1.5

Therefore the expected number of heads can flipped out of 3 times is 1.5.