Mathematics 241 - Spring 2016

Homework

Section 17.1

Exercise Set A: 1, 2, 3, 4, 5

Section 17.2

Exercise Set B: 1, 2, 4, 5, 6, 7

Also:

A gambler bets on a split in roulette (see Problem 2 on page 284). The gambler wins 17 dollars if either number in the split comes up, and loses one dollar otherwise.

  1. What is the gambler's expected winnings from one play?
  2. What is the gambler's expected winnings from 100 plays?
  3. What is the standard deviation for the winnings from one play?
  4. What is the standard error for the winnings from 100 plays?

Answers:

  1. $\mu = -\frac{1}{19}$
  2. $100 \times \mu = -\frac{100}{19} = -5.263$
  3. $\sigma = 4.019$
  4. $\sqrt{100} \times \sigma = 40.19$