1. Four (4) fair coins are tossed, with each coin has two possible outcomes - a head or a tail. Let T be the totalnumber of tails obtained in the random experiment. Answer letter (b)

. (a) A sample space is a collection or a set of possible outcomes of a random experiment. Determine the sample space of the given random experiment, S(E). . (b) Construct a probability distribution that represents T. The probability distribution should contain the random values (t), the frequency of each random values (f), and the probability of each random values (P(T = t))