SOLUTION: Let X be a random variable whose value is determined by the flip of a fair coin. If the coin lands heads up X=1, if tails then X=0. Find the expected value of X.

Algebra ->  Probability-and-statistics -> SOLUTION: Let X be a random variable whose value is determined by the flip of a fair coin. If the coin lands heads up X=1, if tails then X=0. Find the expected value of X.       Log On


   



Question 1115389: Let X be a random variable whose value is determined by the flip of a fair coin. If the coin lands heads up X=1, if tails then X=0. Find the expected value of X.
Answer by rothauserc(4718) About Me  (Show Source):
You can put this solution on YOUR website!
Probability of getting a head is 1/2 and the probability of getting a tail is 1/2
:
Expected value is the sum of the possible values of the discrete random variable(1 or 0 in this case) weighted by their associated probability
:
E(X) = (1/2) * 1 + (1/2) * 0 = 1/2
: