A game of coins ves mipping total number of heads facing up. Let's use X to denote the total number of heads out of the 3 coins. Each round, you can bet a certain amount of money from $1 to $100. If the total number of heads is 0 or 1, you will double the money, otherwise, you will lose your money. Let Y denote the net gain in on- round. For example, if you bet $8 and got 3 heads, you will get $16 back, the net gain is $8. If it's only one head, you will lose the $8 bet, and your net gain is - $8. 1. What type of variable is X? [Select] ● ● 2. Find the probability that you will double your money. [Select] + 3. Find the expected net gain for betting $8 in one round. [Select] ⇒ 4. Which of the following is most likely to be the standard deviation of the net gain of betting $8 in one round? [Select] You set aside $80 to play this game and there are three plans. Plan A. Play 10 times and bet $8 in each round. Plan B. Play twice and bet $40 in each round. Plan C. Play once and bet $80 5.Which plan has the highest expected net gain? [Select] +

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
icon
Related questions
Question

Pavan.sp

26
age
A game of coins involves flipping 3 coins at the same time and betting on the
total number of heads facing up. Let's use X to denote the total number of
heads out of the 3 coins. Each round, you can bet a certain amount of money
from $1 to $100. If the total number of heads is 0 or 1, you will double the
money, otherwise, you will lose your money. Let Y denote the net gain in one
round. For example,
●
if you bet $8 and got 3 heads, you will get $16 back, the net gain is $8.
If it's only one head, you will lose the $8 bet, and your net gain is - $8.
1. What type of variable is X? [Select]
2. Find the probability that you will double your money.
[Select]
+
3. Find the expected net gain for betting $8 in one round.
[Select]
→
4. Which of the following is most likely to be the standard deviation of the
net gain of betting $8 in one round? [Select]
You set aside $80 to play this game and there are three plans.
Plan A. Play 10 times and bet $8 in each round.
Plan B. Play twice and bet $40 in each round.
Plan C. Play once and bet $80
5.Which plan has the highest expected net gain?
[ Select]
Transcribed Image Text:26 age A game of coins involves flipping 3 coins at the same time and betting on the total number of heads facing up. Let's use X to denote the total number of heads out of the 3 coins. Each round, you can bet a certain amount of money from $1 to $100. If the total number of heads is 0 or 1, you will double the money, otherwise, you will lose your money. Let Y denote the net gain in one round. For example, ● if you bet $8 and got 3 heads, you will get $16 back, the net gain is $8. If it's only one head, you will lose the $8 bet, and your net gain is - $8. 1. What type of variable is X? [Select] 2. Find the probability that you will double your money. [Select] + 3. Find the expected net gain for betting $8 in one round. [Select] → 4. Which of the following is most likely to be the standard deviation of the net gain of betting $8 in one round? [Select] You set aside $80 to play this game and there are three plans. Plan A. Play 10 times and bet $8 in each round. Plan B. Play twice and bet $40 in each round. Plan C. Play once and bet $80 5.Which plan has the highest expected net gain? [ Select]
Expert Solution
steps

Step by step

Solved in 4 steps with 5 images

Blurred answer
Recommended textbooks for you
MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
The Basic Practice of Statistics
The Basic Practice of Statistics
Statistics
ISBN:
9781319042578
Author:
David S. Moore, William I. Notz, Michael A. Fligner
Publisher:
W. H. Freeman
Introduction to the Practice of Statistics
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman