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Consider an experiment in which a fair coin is tossed 10 times. We define the random...

Consider an experiment in which a fair coin is tossed 10 times. We define the random variable W as the number of the launch in which the first head came out (if no head appears, W = 0) and the random variable Z as the number of the launch in which it came the first tail (if no tail appears, Z = 0).

a) Calculate the joint mass function of W and Z.
b) Calculate the conditional mass function of W given Z = z.
c) Calculate the conditional mass function of Z given W = w

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