HW1 - IE 111 Fall Semester 2007 Homework#1 Due Wednesday...

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

View Full Document Right Arrow Icon
IE 111 Fall Semester 2007 Homework #1 Due Wednesday 9/5/07 Question 1. Consider the Venn diagram at right with events A, B, C, and D as shown when you answer questions a) through e). a) Give a set representation of the shaded region. Indicate the most appropriate answer for each of the following questions (where NMI means “need more information”). b) T F NMI (A B ) D and (A D) C are mutually exclusive. c) T F NMI B and C are independent d) T F NMI P(A|B) ≥ P(B|A) e) T F NMI P(B) ≤ P(D) Question 2. A Lehigh student is selected at random and the student’s class x (Frosh, Soph, junior, Senior, or Grad), sex y (Male, Female), and living arrangement z (dorm, frat, sorority, off-campus) are observed. Note the following Lehigh rules: - Frosh must live in dorms. - Frats are limited to under grad men, sororities to under grad women. - Grad students must live off campus. a) Describe the sample space of this experiment by listing its elements in the form (x,y,z). b) Use a tree diagram to describe the sample space in question 1. Question 3. An experiment consists of throwing a pair of dice, one maize (yellow), and the other blue. If x is the number showing on the maize die, and y is the number showing on the blue die, then an outcome can be represented as (x,y).
Background image of page 1

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

View Full DocumentRight Arrow Icon
Image of page 2
This is the end of the preview. Sign up to access the rest of the document.

Page1 / 4

HW1 - IE 111 Fall Semester 2007 Homework#1 Due Wednesday...

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

View Full Document Right Arrow Icon
Ask a homework question - tutors are online