(6 points) Alex has a set of three coins. Each possible toss can result in a tail (represented by 1) or a head (represented by 0). Let the logical variables X, Y, Z represent the outcomes of the toss corresponding to the first, second and third coin respectively. Alex wants to implement a particular logic function F. It is known that F(X, Y, Z) is 1 if exactly one coin or none of the coins results in a tail. Express F as: (a) (3 points) as a minterm expansion. (b) (3 points) as a maxterm expansion.