Homework 1 - 550.420 Introduction to Probability Fall 2011...

Info iconThis preview shows page 1. Sign up to view the full content.

View Full Document Right Arrow Icon
550.420 Introduction to Probability Fall 2011 Homework 1 Due Thursday September 8 1. (2 points) A salad bar has 3 choices of greens, 5 veggies, 4 fruits, 3 dairy items, and 4 dressings. In how many ways can I make myself a salad with at least two of the greens, 3 veggies, only one dairy item, no more than 2 fruits, and exactly one dressing? 2. (2 points) Suppose that there is a large group of people, consisting of exactly 2N women and 2N men. The group is split in half at random. What is the probability that each half contains exactly N women and N men? Approximate your answer using Stirling’s Formula. 3. ( 3 points) Have the Cards Been Seen in This Order Before? [a] Give an expression (containing at most 4 symbols) for the number of possible orderings of a standard deck of 52 playing cards. Calculate an approximate numerical value for your expression, which you expect to be accurate to at least three significant digits. (You may use a Stirling’s formula approximation, an estimate by summing
Background image of page 1
This is the end of the preview. Sign up to access the rest of the document.
Ask a homework question - tutors are online