# HW1 - Problem Set 1 - Due Monday 09/09/08 Econ 319 -...

This preview shows pages 1–2. Sign up to view the full content.

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 (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

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
This is the end of the preview. Sign up to access the rest of the document.

## This note was uploaded on 10/19/2008 for the course ECON 3190 taught by Professor Hong during the Fall '07 term at Cornell University (Engineering School).

### Page1 / 2

HW1 - Problem Set 1 - Due Monday 09/09/08 Econ 319 -...

This preview shows document pages 1 - 2. Sign up to view the full document.

View Full Document
Ask a homework question - tutors are online