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# HW1 - Problem Set 1 Due Monday Econ 319 Introduction to...

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Problem Set 1 - Due Monday 09/09/08 Econ 319 - Introduction to Probability and Statistics Fall 2008 Cornell University Prof. Molinari 1. Prove the following relations among the events E; F; G : (a) E \ F ° E [ F (b) E ° F implies E \ F = E (c) E ° F and F ° G implies E ° G (d) ( E \ F ) 0 = E 0 [ F 0 (e) ( E [ F ) 0 = E 0 \ F 0 2. A card is drawn at random from a standard deck of playing cards (that is: 52 cards, 13 in each of the 4 suits: spades, hearts, diamonds and clubs; the 26 hearts and diamonds are red, the rest are black. The 13 denominations in each suit are 2, 3, .... , 10, J (jack), Q (queen), K (king), and ace. The jack, queen and king are "face cards". Aces, kings, queens, jacks and 10°s are "honor cards"). Find the probability that the card selected is: (a) not a diamond (b) an honor card (c) a red honor card (d) red (e) not a black honor card (f) a spade but not an honor card 3. In a population of 100 undergrads, 20 are seniors, 25 are juniors, and 30 are freshmen. Given that 6 of the seniors, 5 of the sophomores, and 3 of the freshmen smoke, and that 7 9 of the

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HW1 - Problem Set 1 Due Monday Econ 319 Introduction to...

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