A die is weighted in such a way that each of 1 and 2 is eight times as likely to come up as each of the other numbers. Find the probability distribution. What is the probability of rolling an odd number?Step 1We are given that a die is weighted in such a way that each of 1 and 2 is eight times as likely to come up as 3, 4, 5, or 6. We are asked to find the probability distribution associated with this die.The probability of each outcome is unknown, so the first step is to use the properties of probability distributions to write an equation that we can solve for the probability of one or more of the outcomes. Assign the variable x to the probability of rolling a 3, and compute the probabilities of the other outcomes, in terms of x.P(3) = x P(4) = P(5) = P(6) = P(1) = P(2) = Substitute the probabilities, in terms of x, in to the probability distribution....... SEE picture !!! This question has several parts that must be completed sequentially. If you skip a part of the question, you will not receive any points for the skipped part, and you will not be able to come back to the skipped part.Tutorial ExerciseA die is weighted in such a way that each of 1 and 2 is eight times as likely to come up as each of the othernumbers. Find the probability distribution. What is the probability of rolling an odd number?Step 1We are given that a die is weighted in such a way that each of 1 and 2 is eight times as likely to come up as3, 4, 5, or 6. We are asked to find the probability distribution associated with this die.The probability of each outcome is unknown, so the first step is to use the properties of probabilitydistributions to write an equation that we can solve for the probability of one or more of the outcomes. Assignthe variable x to the probability of rolling a 3, and compute the probabilities of the other outcomes, in termsof x.P(3) = xP(4) = P(5) = P(6) =P(1) = P(2) =Substitute the probabilities, in terms of x, in to the probability distribution.Outcome1234Probability8x

Name: A die is weighted in such a way that each of 1 and 2 is eight times as
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Description: A die is weighted in such a way that each of 1 and 2 is eight times as likely to come up as each of the other numbers. Find the probability distribution. What is the probability of rolling an odd number?Step 1We are given that a die is weighted in su

a) P(3) = x P(4) = P(5) = P(6) = x P(1) = P(2) = 8x

Answered: A die is weighted in such a way that…

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

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A die is weighted in such a way that each of 1 and 2 is eight times as likely to come up as each of the other numbers. Find the probability distribution. What is the probability of rolling an odd number?

Step 1

We are given that a die is weighted in such a way that each of 1 and 2 is eight times as likely to come up as 3, 4, 5, or 6. We are asked to find the probability distribution associated with this die.

The probability of each outcome is unknown, so the first step is to use the properties of probability distributions to write an equation that we can solve for the probability of one or more of the outcomes. Assign the variable x to the probability of rolling a 3, and compute the probabilities of the other outcomes, in terms of x.

P(3)	=	x

P(4)	=	P(5) = P(6) =

P(1)	=	P(2) =

Substitute the probabilities, in terms of x, in to the probability distribution....... SEE picture !!!

This question has several parts that must be completed sequentially. If you skip a part of the question, you will not receive any points for the skipped part, and you will not be able to come back to the skipped part.
Tutorial Exercise
A die is weighted in such a way that each of 1 and 2 is eight times as likely to come up as each of the other
numbers. Find the probability distribution. What is the probability of rolling an odd number?
Step 1
We are given that a die is weighted in such a way that each of 1 and 2 is eight times as likely to come up as
3, 4, 5, or 6. We are asked to find the probability distribution associated with this die.
The probability of each outcome is unknown, so the first step is to use the properties of probability
distributions to write an equation that we can solve for the probability of one or more of the outcomes. Assign
the variable x to the probability of rolling a 3, and compute the probabilities of the other outcomes, in terms
of x.
P(3) = x
P(4) = P(5) = P(6) =
P(1) = P(2) =
Substitute the probabilities, in terms of x, in to the probability distribution.
Outcome
1
2
3
4
Probability
8x

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