Question

Make a box model for the following problem:

You roll a die 5 times. For each time you roll the die, you win $5 if you roll a 1. You win $10 if you roll a 2. Otherwise, you lose $1.

Answer #1

**Answer:-**

**Given that:-**

**Make a box model for the following problem:**

**You roll a die 5 times. For each time you roll the die,
you win $5 if you roll a 1. You win $10 if you roll a 2. Otherwise,
you lose $1.**

We roll a die 5 times. For each time you roll the die, you win $5 if you roll a 1. You win $10 if you roll a 2. Otherwise, you lose $1.

As in die case any number from 1 to 6 can occure and we get 5 dollar for getting 1 and 10 dollar for getting 2 and -1 dollar for getting either(3,4,5,6)

My friend and I are playing a gambling game in which we each
roll a die. We then compare the numbers on the two dice to
determine the outcome. If my roll is larger, I win $1 and my friend
loses $1. If her roll is larger, I lose $1 and she wins $1. And if
our two rolls are equal, we both don’t win or lose any money.
(a) Write your answers as simplified fractions: What is the
chance...

Roll a die 10 times. Put a 1 each time
the die is a one and a 0 each time the die comes up any other
number. Count the number of ones you obtained and divide by 10.
a. What number did you get? This is
your estimate of the probability of obtaining a one.
b. Is the number you obtained in part
(a) a parameter or a statistic?
c. Now roll the die 25 times. Put a 1
each...

2.29 Die rolls. You roll a die three times.
what is the probability the sum of the first two rolls is equal to
the third roll?
3.3 Off to the races. Suppose mike places three
separate bets on three separate tracks. Each bet is for a specific
horse to win. His horse in race 1 wins with probability 1/5. His
horse in race 2 with probability 2/5. His horse in race 3 wins with
probability 3/5. What is the probability...

You roll a fair die 5 times. What is the probability you get at
least four 6’s? This time you roll the die 204 times. What is the
probability you get between 30 and 40 6’s?

Suppose you are offered the following "deal." You roll a die. If
you roll a six, you win $10. If you roll a four or five, you win
$5. If you roll a one, two, or three, you pay $6. Based on
numerical values, should you take the deal? Explain your decision.
Consider the following questions as you make your decision:
-What are you ultimately interested in here (the value of the
roll or the money you win)?
-In words,...

You play a gambling game with a friend in which you roll a die.
If a 1 or 2 comes up, you win $8. How much should you lose on any
other outcome in order to make this a fair game?

I can accept a ?$1200 bill or play a game ten times. For each
roll of the single? die, I win $600 for rolling 1 or? 2; I win $400
for rolling? 3; and I lose ?$200 for rolling? 4, 5, or 6. Based on
the expected? value, What is the expected value after ten
rolls?

PROBLEM #2
Suppose you play a game in which a fair 6 sided die is rolled
once. If the outcome of the roll (the number of dots on the side
facing upward) is less than or equal to 4, you are paid as many
dollars as the number you have rolled. Otherwise, you lose as many
dollars as the number you have rolled.
Let X be the profit from the game (or the amount of money won or
lost per...

You can draw either 10 times or 100 times at
random with replacement from the box [−1 1]. How many times should
you draw?
(a) To win $1 when the sum is 5 or more, and nothing otherwise?
(b) To win $1 when the sum is −5 or less, and nothing otherwise?
(c) To win $1 when the sum is between −5 and 5, and nothing
otherwise?

You roll a die 48 times with the following results. Use a
significance level of 0.05 to test the claim that the die is
fair.
number: 1, 2, 3, 4, 5, 6
frequency: 2,4,12,13,14,3
test statistic
critical value
accept or reject

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