A coin is flipped 10 times What is the expected number of he

A coin is flipped 10 times. What is the expected number of heads that come up if
(a) the coin is fair?
(b) the coin is biased so that the probability that heads comes up is 0.6?

Solution

a)When the coin is fair then the probability that a head comes up is 0.5.

Thus, the expected number of heads that come if the coin is flipped 10 times up E(X)=0.5*10=5

b)Now, the coin is biased so that the probability that heads comes up is 0.6

Thus, the expected number of heads that come if the coin is flipped 10 times up E(X)=0.6*10=6