Question

For a roll of a fair die with 4 sides, numbered 1-4: (a) Find the expected...

For a roll of a fair die with 4 sides, numbered 1-4:

(a) Find the expected value and the variance

(b) Find the probability distribution for the average of two rolls of a fair die with four sides. Then, compute expected value and variance of the average from the distribution

(c) How were the answers to part (b) related to those of part (a)

Homework Answers

Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
4.2) Consider the roll of two four-sided fair die, with sides numbered 1,2,3, and 4. (a)...
4.2) Consider the roll of two four-sided fair die, with sides numbered 1,2,3, and 4. (a) Compute the size of the sample space. Show work and reasoning. (b) List the sample points that comprise the sample space. (c) List the sample points that sum to six. (d) Compute the probability of getting a sum of six using Cardano’s method. (e) Pick one of your sample points. How does that sample point correspond to a “point in space?” How many dimensions...
You have a fair five-sided die. The sides of the die are numbered from 1 to...
You have a fair five-sided die. The sides of the die are numbered from 1 to 5. Each die roll is independent of all others, and all faces are equally likely to come out on top when the die is rolled. Suppose you roll the die twice. Let event A to be “the total of two rolls is 10”, event B be “at least one roll resulted in 5”, and event C be “at least one roll resulted in 1”....
Assume we roll a fair four-sided die marked with 1, 2, 3 and 4. (a) Find...
Assume we roll a fair four-sided die marked with 1, 2, 3 and 4. (a) Find the probability that the outcome 1 is first observed after 5 rolls. (b) Find the expected number of rolls until outcomes 1 and 2 are both observed. (c) Find the expected number of rolls until the outcome 3 is observed three times. (d) Find the probability that the outcome 3 is observed exactly three times in 10 rolls given that it is first observed...
Assume we roll a fair four-sided die marked with 1, 2, 3 and 4. (a) Find...
Assume we roll a fair four-sided die marked with 1, 2, 3 and 4. (a) Find the probability that the outcome 1 is first observed after 5 rolls. (b) Find the expected number of rolls until outcomes 1 and 2 are both observed. (c) Find the expected number of rolls until the outcome 3 is observed three times. (d) Find the probability that the outcome 3 is observed exactly three times in 10 rolls given that it is first observed...
Simultaneously roll two fair 3-sided dice whose sides are numbered 1, 2, and 3. Let random...
Simultaneously roll two fair 3-sided dice whose sides are numbered 1, 2, and 3. Let random variable K be the sum of the two dice. a) Calculate and plot the PMF of K. b) Determine the expected value of K. c) Calculate the variance of K. d) Determine the expected value of K2 . e) Determine the variance of K2 .
1. Game of rolling dice a. Roll a fair die once. What is the sample space?...
1. Game of rolling dice a. Roll a fair die once. What is the sample space? What is the probability to get “six”? What is the probability to get “six” or “five”? b. Roll a fair die 10 times. What is the probability to get “six” twice? What is the probability to get six at least twice? c. Roll a fair die 10 times. What is the expected value and variance of getting “six”? d. If you roll the die...
A fair six-sided die has two sides painted red, 3 sides painted blue and one side...
A fair six-sided die has two sides painted red, 3 sides painted blue and one side painted yellow. The die is rolled and the color of the top side is recorded. List all possible outcomes of this random experiment Are the outcomes equally likely? Explain Make a probability distribution table for the random variable X: color of the top side        2. If a pair of dice painted the same way as in problem 1 is rolled, find the probability...
a coin has two sides: head and tails. a die has six sides, numbered 1 through...
a coin has two sides: head and tails. a die has six sides, numbered 1 through 6. if you flip the coin and roll the die, what is the probability that you flip "heads" and roll an number greater than 5
1. Suppose you have a fair 6-sided die with the numbers 1 through 6 on the...
1. Suppose you have a fair 6-sided die with the numbers 1 through 6 on the sides and a fair 5-sided die with the numbers 1 through 5 on the sides. What is the probability that a roll of the six-sided die will produce a value larger than the roll of the five-sided die? 2. What is the expected number of rolls until a fair five-sided die rolls a 3? Justify your answer briefly.
You have a 4 sided die with sides marked A, B, C and D.  You roll the...
You have a 4 sided die with sides marked A, B, C and D.  You roll the die 100 times.  Find the probablilty that you get A at least 92 % of the time. Your friend also rolls the die from problem three 100 times. He rolled more A’s than 70 % of all people who could roll this die 100 times.  What percentage of the time did he roll and A???
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT