MATH 1550H Final: MATH1550H-Final (6)
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Instructions: do both of parts h and t, and, if you wish, part e. show all your work and simplify answers as much as practicable. Aids: calculator; one 8. 5 11 or a4 aid sheet; (11) (11) neurons. [4: let f be the event that all ve belong to the same suite and let a be the event that exactly one of the ve is an ace. Determine whether the events f and a are independent or not. [6: a fair coin is tossed, and then tossed again until it comes up the same way the way it did on the rst toss or three more tosses have taken place, whichever comes rst. 0 x 1 x 2. 2 x 3 is the probability density function of the. 0 otherwise continuous random variable x. compute e(x) and var(x). [15: suppose x is a geometric random variable such that p (x = 2) = 1.
