# HW6 - Let X denote the number of Hearts that are dealt and...

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CSE21 FA11 Homework #6 (10/31/11) 6.1. Five boys and three girls are throwing Frisbees. Each boy has one Frisbee and throws it to a random girl. What is the probability that each of the girls gets at least one of thrown Frisbees? 6.2. A box contains 20 light bulbs, 5 of which are defective (and the rest are good). You randomly select 8. What is the expected number of good bulbs you get this way? 6.3. A warped coin has probability of 0 . 5 of landing Heads, probability of 0 . 4 of landing Tails, and probability 0 . 1 of landing on its Edge. (I said it was warped!). It is ﬂipped 5 times. What is the probability that more Heads occur than Tails? 6.4 . 6 cards are dealt (without replacement) from an ordinary deck of 52.
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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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