Question

Suppose you have an unfair die. It is weighted in such a way that the probability...

Suppose you have an unfair die. It is weighted in such a way that the probability table of each outcome is as follows:

Outcome Probability
1 0.4
2 0.2
3 0.2
4 0.1
5 0.05
6 0.05

Let X be a random variable that takes on the value of a roll from this die. What is the expected value (mean) of X?

b. Using the same unfair die, what is the variance of X?

2. Suppose we have a random variable X that is uniformly distributed between a = 0 and b = 100. What is ?

Business   Economics   
0 0
Add a commentTranscribed image text
Next >

Homework Answers

Answer #1

0 0
Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Log In

Sign Up

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
Given table below for 2 unfair dice and its probabilities of the number of the die...
Given table below for 2 unfair dice and its probabilities of the number of the die to come out --simulating 200 times. Calculate its -EXPECTED VALUE -- give formula --please explain. Roll Die 1 Die2 1 0.1 0.3 2 0.1 0.1 3 0.2 0.2 4 0.3 0.1 5 0.2 0.05 6 0.1 0.25
a) Suppose that there is a 6-sided die that is weighted in such a way that...
a) Suppose that there is a 6-sided die that is weighted in such a way that each time the die is rolled, the probabilities of rolling any of the numbers from 1 to 5 are all equal, but the probability of rolling a 6 is twice the probability of rolling a 1. When you roll the die once, the 6 outcomes are not equally likely. What are the probabilities of the 6 outcomes? b) The probability that a manager reads...
Suppose you have a 4-sided die with t1= 0.4, t2= 0.2, t3= 0.1, and t4 =...
Suppose you have a 4-sided die with t1= 0.4, t2= 0.2, t3= 0.1, and t4 = 0.3, where tj is the probability that side j will show up when you roll the die. If you roll the die 5 times, what is the probability that you will get 1 of side 1, 3 of side 2, and 1 of side 4?
If you roll a die, you get one of the following numbers: 1, 2, 3, 4,...
If you roll a die, you get one of the following numbers: 1, 2, 3, 4, 5, 6. Each possibility occurs with equal probability of 1/6. The expected value of a dice roll is E(D)= 3.5 and the variance of a dice roll is Var(X) = 2.917. a) Suppose you roll a die and then add 1 to the roll to get a new random variable taking one of the following numbers: 2,3,4,5,6,7. What is the variance of this new...
Determine the probability distribution of a discrete random variable.•Suppose you roll two die (you can see...
Determine the probability distribution of a discrete random variable.•Suppose you roll two die (you can see Figure 2 on page 260 of the text for an illustration). Let X be the difference of the faces on the die. what I mean is this, for an illustration:▪If you roll doubles(say, two 4’s), then X= 0, because 4 –4 = 0.▪If you roll a 5and a 2, then X= 3, because 5 –2 = 3.▪If you roll a 2 and a 5,...
An unfair coin is such that on any given toss, the probability of getting heads is...
An unfair coin is such that on any given toss, the probability of getting heads is 0.6 and the probability of getting tails is 0.4. The coin is tossed 8 times. Let the random variable X be the number of times heads is tossed. 1. Find P(X=5). 2. Find P(X≥3). 3. What is the expected value for this random variable? E(X) = 4. What is the standard deviation for this random variable? (Give your answer to 3 decimal places) SD(X)...
A die is weighted in such a way that each of 2, 4, and 6 is...
A die is weighted in such a way that each of 2, 4, and 6 is three times as likely to come up as each of 1, 3, and 5. Find the probability distribution. Outcome 1 2 3 4 5 6 Probability What is the probability of rolling less than 3? HINT [See Example 3.]
PROBLEM #2 Suppose you play a game in which a fair 6 sided die is rolled...
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...
I roll one die and my friend rolls another die. What is the probability that at...
I roll one die and my friend rolls another die. What is the probability that at least one of us gets an even number? Let R and S be two independent and identically distributed random variables. E(R) = E(S) = 4. V(R) = V(S) = 3. Let T = R – S. What is V(T)? Let V(X) = 49. What does the Cov(X,X) equal?
QUESTION 9 Die Question 2 A regular, i.e., six-faced and balanced, die will be rolled twice....
QUESTION 9 Die Question 2 A regular, i.e., six-faced and balanced, die will be rolled twice. Let the random variable X be equal to the result of subtracting the number obtained on the second roll from the number obtained on the first roll. Find the variance of X. a. 2.9167 b. 5.8333 c. 8.75 d. 11.6667 e. none of the above
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT