4) If (N,A,P] is a probability space of tossing a three identical fair coins at the same time. Then: a) Determine N, A a

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4 If N A P Is A Probability Space Of Tossing A Three Identical Fair Coins At The Same Time Then A Determine N A A 1 (89.51 KiB) Viewed 33 times

4) If (N,A,P] is a probability space of tossing a three identical fair coins at the same time. Then: a) Determine N, A and P for this random experiment. -2 for o = HHH,TTT b) Consider X:12 →R a map given by the relation X(@) = -1 for w= HHT +1 otherwise Then: i) Determine the set {o e 22 ;X(0) Sx} for all reR. ii) Is the map X a random variable on the probability space [N,A,P]? Why? iii) Represent this random variable tabular. iv) Determine the distribution function Fy. v) Calculate Var (X).