Question

You have R500. You are approached by a person that offers you a game. You flip a coin and if it’s heads you win R450 and if it’s tails you win R50. He says it costs R250 to play each round. You decide to play 2 rounds (so you spend your full R500). Calculate the expected return and standard deviation of playing the game 2 times.

Answer #1

You play a coin flip game where you win NOTHING if the coin
comes up heads or win $1,000 if the coin comes up tails. Assume a
fair coin is used. Which of the following is TRUE?
Group of answer choices
a. A risk-seeking person would be willing to accept a cash
payment of $500 to forgo (i.e. pass up) playing the game.
b. A risk neutral person might accept a cash payment of $400 to
forgo (i.e. pass up)...

A casino offers you a deal, in you bet $20:
Flip a coin and if you get TAILS, you win $40
Flip a coin 2 TIMES and if you get 2 TAILS, you win $400
Flip a coin 3 TIMES and if you get 3 TAILS, you win $1000
Flip a coin 10 TIMES and if you get 10 TAILS, you win
$40,000
Which offer would you pick and explain your answer!

java
beginner level
NO ARRAYS in program
Flip a coin (Assignment)
How many times in a row can you flip a coin and gets heads?
Use the random number generator to simulate the flipping of the
coin. 0 means heads, 1 means tails.
Start a loop,
flip it, if heads, count it and keep flipping.
If tails, stop the loop.
Display the number of times in a row that heads came up.
Once this is working, wrap a while loop...

Consider the following game. You flip an unfair coin, with P(H)
= 1/4 and P(T) = 3/4, 100 times. Every time you flip a heads you
win $8, and every time you flip a tails you lose $3. Let X be the
amount of money you win/lose during the game. Justify your answers
and show all work. Compute E(X) andCompute V (X).

Casinos in Atlantic City are looking to offer a special coin
flip game where the player wins $4,000 if the coin comes up heads
and loses $1,000 if the coin comes up tails. Assume a fair coin is
used. Which statement below BEST describes the new coin flip
game?
A. All statements are true.
B. A risk averse person would pay less than $1,500 to play this
game.
C. A risk neutral person would be willing to pay $1,500 to...

Lets's say I flip a coin which a probability p of turning up
heads. The game is structured in the way that I win the game if
heads appears x times before tails has appeared y times. How can I
represent this probability in the form of a summation? In terms of
x,y and p.

Alice and Bob play a game in which they flip a coin repeatedly.
Each time the coin is heads, Alice wins $1 (and Bob loses $1). Each
time the coin is tails, Bob wins (and Alice loses) $2. They
continue playing until Alice has won three flips. Prove that the
expected value of Bob’s winnings is $3. (Hint: Use linearity of
expected value to consider the expected value of each flip
separately, with flips being worth $0 if they do...

A player is given the choice to play this game. The player flips
a coin until they get the first Heads. Points are awarded based on
how many flips it took:
1 flip (the very first flip is Heads): 2 points
2 flips (the second flip was the first Heads): 4 points
3 flips (the third flip was the first Heads): 8 points
4 flips (the fourth flip was the first Heads): 16 points
and so on. If the player...

You play a game where you first choose a positive integer n and
then flip a fair coin n times. You win a prize if you get exactly 2
heads. How should you choose n to maximize your chance of winning?
What is the chance of winning with optimal choice n? There are two
equally good choices for the best n. Find both.
Hint: Let fn be the probability that you get exactly
two heads out of n coin flips....

Question 3: You are
given a fair coin. You flip this coin twice; the two flips are
independent. For each heads, you win 3 dollars, whereas for each
tails, you lose 2 dollars. Consider the random variable
X = the amount of money that you
win.
– Use the definition of expected value
to determine E(X).
– Use the linearity of expectation to
determineE(X).
You flip this coin 99 times; these
flips are mutually independent. For each heads, you win...

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