Question

a. Roll a dice, X=the number obtained. Calculate E(X), Var(X). Use two expressions to calculate variance....

a. Roll a dice, X=the number obtained. Calculate E(X), Var(X). Use two expressions to calculate variance.

b. Two fair dice are tossed, and the face on each die is observed. Y=sum of the numbers obtained in 2 rolls of a dice. Calculate E(Y), Var(Y).

c. Roll the dice 3 times, Z=sum of the numbers obtained in 3 rolls of a dice. Calculate E(Z), Var(Z) from the result of part a and b.

Math   Statistics-And-Probability   
0 0
Add a commentTranscribed image text
Next >

Homework Answers

Answer #1

Answer:-

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
A die is rolled six times. (a) Let X be the number the die obtained on...
A die is rolled six times. (a) Let X be the number the die obtained on the first roll. Find the mean and variance of X. (b) Let Y be the sum of the numbers obtained from the six rolls. Find the mean and the variance of Y
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...
An actuary rolls two six-faced fair dice. The two numbers that appear on the top face...
An actuary rolls two six-faced fair dice. The two numbers that appear on the top face of the dice are observed. Calculate the probability that the product of the two numbers is odd, given the sum of the two numbers is between six and eight inclusive.
Consider rolling two fair six-sided dice. a) Given that the roll resulted in sum of 8,...
Consider rolling two fair six-sided dice. a) Given that the roll resulted in sum of 8, find the conditional probability that first die roll is 6. b) Given that the roll resulted in sum of 4 or less, find the conditional probability that doubles are rolled. c) Given that the two dice land on different numbers, find the conditional probability that at least one die is a 6.
Let’s assume that there are two dice, and we will roll one of them, but we...
Let’s assume that there are two dice, and we will roll one of them, but we don’t know which one. The probability of rolling either dice is 1/2. One of them is fair in the sense that all 6 outcomes are equally likely. The other die gives probability 1/3 to numbers 1 through 3 and zero probability to numbers 4-6. a-)The first roll was a 4. What is the probability that it was the fair die? b-)The first roll was...
Two fair six-sided dice are rolled once. Let (X, Y) denote the pair of outcomes of...
Two fair six-sided dice are rolled once. Let (X, Y) denote the pair of outcomes of the two rolls. a) Find the probability that the two rolls result in the same outcomes. b) Find the probability that the face of at least one of the dice is 4. c) Find the probability that the sum of the dice is greater than 6. d) Given that X less than or equal to 4 find the probability that Y > X.
In a game, you roll two fair dice and observe the uppermost face on each of...
In a game, you roll two fair dice and observe the uppermost face on each of the die. Let X1 be the number on the first die and X2 be the number of the second die. Let Y = X1 - X2 denote your winnings in dollars. a. Find the probability distribution for Y . b. Find the expected value for Y . c. Refer to (b). Based on this result, does this seem like a game you should play?
You roll a pair of fair dice repeatedly. Let X denote the number of rolls until...
You roll a pair of fair dice repeatedly. Let X denote the number of rolls until you get two consecutive sums of 8(roll two 8 in a row). Find E[X]
Let X be the number showing when one true dice is thrown. Let Y be the...
Let X be the number showing when one true dice is thrown. Let Y be the number of heads obtained when (2 ×X) true coins are then tossed. Calculate E(Y) and Var(Y).
Hector will roll two fair, six-sided dice at the same time. Let A = the event...
Hector will roll two fair, six-sided dice at the same time. Let A = the event that at least one die lands with the number 3 facing up. Let B = the event that the sum of the two dice is less than 5. 1. What is the correct set notation for the event that “at least one die lands with 3 facing up and the sum of the two dice is less than 5”? 2. Calculate the probability that...
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT