4. A roulette wheel used in a U.S. casino has 38 slots, of which 18 are red, 18 are black, and 2 are green. A roulette wheel used in a French casino has 37 slots, of which 18 are red, 18 are black, and 1 is green. A ball is rolled around the wheel and ends up in one of the slots with equal probability. Suppose that a player bets on red. If a $1 bet is placed, the player wins $1 if the ball ends up in a red slot. (The player's $1 bet is returned.) If the ball ends up in a black or green slot, the player loses $1. Find the expected value of this game to the player in (a) The United States. (b) France. Translation: X in the US has the pmf f (1) = 18/38 and f (-1) = 20/38. What is E[X] in the US? X in France has the pmf f (1) = 18/37 and f (-1) = 19/37. What is E [X] in France?

4. A roulette wheel used in a U.S. casino has 38 slots, of which 18 are red, 18 are black, and 2 are green. A roulette wheel used in a French casino has 37 slots, of which 18 are red, 18 are black, and 1 is green. A ball is rolled around the wheel and ends up in one of the slots with equal probability. Suppose that a player bets on red. If a $1 bet is placed, the player wins $1 if the ball ends up in a red slot. (The player's $1 bet is returned.) If the ball ends up in a black or green slot, the player loses $1. Find the expected value of this game to the player in (a) The United States. (b) France. Translation: X in the US has the pmf f (1) = 18/38 and f (-1) = 20/38. What is E[X] in the US? X in France has the pmf f (1) = 18/37 and f (-1) = 19/37. What is E [X] in France?

Name: 4. A roulette wheel used in a U.S. casino has 38 slots, of which 18 a
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Description: 4. A roulette wheel used in a U.S. casino has 38 slots, of which 18 are red, 18 are black, and 2are green. A roulette wheel used in a French casino has 37 slots, of which 18 are red, 18 areblack, and 1 is green. A ball is rolled around the wheel and

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Concept explainers

Contingency Table

A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.

Binomial Distribution

Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.

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Question

4. A roulette wheel used in a U.S. casino has 38 slots, of which 18 are red, 18 are black, and 2
are green. A roulette wheel used in a French casino has 37 slots, of which 18 are red, 18 are
black, and 1 is green. A ball is rolled around the wheel and ends up in one of the slots with
equal probability. Suppose that a player bets on red. If a $1 bet is placed, the player wins
$1 if the ball ends up in a red slot. (The player's $1 bet is returned.) If the ball ends up in
a black or green slot, the player loses $1. Find the expected value of this game to the player
in (a) The United States. (b) France. Translation: X in the US has the pmf f (1) = 18/38
and f (-1) = 20/38. What is E[X] in the US? X in France has the pmf f (1) = 18/37 and
f (-1) = 19/37. What is E [X] in France?

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