Answer Happy

Question ?: {{ {0. st. P's is a produbility space of tossing a three fair coins at the same time. Then: a) Determine 11. ny ani ?" for this random experiment. b) Calculate the probability of getting one or two tails. e) It'we know that we had at least one tail, what is the probability that we have two tails ? 0 -1 for a = HHT.HTHTHH d) Consider X:—a map given by the relation X(@) = +1 for a = HTT.THT.TTH otherwise i) Determine the following set for all = 2. for 1 <-1 {0€ for 21 ii) is the map l'a random variable on the probability space [N...PI? Why? iii) Represent this random variable tabular. iv) Determine the distribution function F, on R. v) Calculate E(X).