samplefinal_solution

samplefinal_solution - AMS507 Introduction to Probability...

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

View Full Document Right Arrow Icon

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

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

Unformatted text preview: AMS507 Introduction to Probability. Sample Final Test Fall 2009 You shall receive 5 points for each of the following 20 questions. 1. In how many ways can a man divide 7 gifts among his 3 children if the eldest is to receive 3 gifts and the others 2 each? Answer: 210. 2. If n balls are randomly placed into n cells, what is the probability that each cell will be occupied. Answer: n ! n n . 3. An integer is selected at random from the set { 1 , 2 ,..., 100 , 000 } . What is the probability that it contains the digit 4? Answer: 1- 9 5 10 5 ≈ . 41 . 4. A number is selected randomly from the set { 1 , 2 ,..., 1000 } . What is the probability that it is divisible by 5 but not by 3? Answer: 0.134. 5. From a group of 3 freshmen, 4 sophomores, 4 juniors, and 3 seniors a committee of size 4 is randomly selected. Find the probability that the committee will consist of 2 sophomores and 2 juniors. Answer: 0.036. 6. A number is selected at random from the set of natural numbers { 1 , 2 ,..., 1000 } . What is the probability that it is not divisible by 5, 7, or 8?...
View Full Document

This note was uploaded on 01/31/2011 for the course AMS 507 taught by Professor Feinberg,e during the Spring '08 term at SUNY Stony Brook.

Page1 / 3

samplefinal_solution - AMS507 Introduction to Probability...

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