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Unformatted text preview: Let X denote the number of Hearts that are dealt and let Y denote the number of face cards (= Jack, Queen or King) dealt. What is the expected value of X + Y ? 6.5 A bin contains numbers the 10 numbers 1 , 2 , 3 ,... 10. (a) 5 numbers are randomly drawn with replacement . What is the expected value of the sum of the numbers drawn? (b) 5 numbers are randomly drawn without replacement . What is the ex-pected value of the sum of the numbers drawn? 6.6 A biased coin has the probability of a Head of 2 3 and the probability of a Tail of 1 3 . It is ipped 5 times. What is the expected number of times that a Head is followed immediately by a Tail? 1...
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- Fall '07