Question

roll a fair die repeatedly. a) Let X denote the number of rolls until you get...

roll a fair die repeatedly.

a) Let X denote the number of rolls until you get at least 3 different results. Find E(X) without calculating the distribution of X.

b) Let S denote the number of rolls until you get a repeated result. Find E(S).

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
a fair die was rolled repeatedly. a) Let X denote the number of rolls until you...
a fair die was rolled repeatedly. a) Let X denote the number of rolls until you get at least 3 different results. Find E(X) without calculating the distribution of X. b) Let S denote the number of rolls until you get a repeated result. Find E(S).
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]
I roll a fair die until I get my first ace. Let X be the number...
I roll a fair die until I get my first ace. Let X be the number of rolls I need. You roll a fair die until you get your first ace. Let Y be the number of rolls you need. (a) Find P( X+Y = 8) HINT: Suppose you and I roll the same die, with me going first. In how many ways can it happen that X+Y = 8, and what is the probability of each of those ways?...
You roll a six-sided die repeatedly until you roll a one. Let X be the random...
You roll a six-sided die repeatedly until you roll a one. Let X be the random number of times you roll the dice. Find the following expectation: E[(1/2)^X]
A fair die is successively rolled. Let X and Y denote, respectively, the number of rolls...
A fair die is successively rolled. Let X and Y denote, respectively, the number of rolls necessary to obtain a 5 and a 4. Find (a) E X, (b) E[X|Y = 1] and (c) E[X|Y = 4].
A fair die is successively rolled. Let X and Y denote, respectively, the number of rolls...
A fair die is successively rolled. Let X and Y denote, respectively, the number of rolls necessary to obtain a 5 and a 4. Find (a) EX, (b) E[X|Y =1] and (c) E[X|Y=4].
8 Roll a fair (standard) die until a 6 is obtained and let Y be the...
8 Roll a fair (standard) die until a 6 is obtained and let Y be the total number of rolls until a 6 is obtained. Also, let X the number of 1s obtained before a 6 is rolled. (a) Find E(Y). (b) Argue that E(X | Y = y) = 1/5 (y − 1). [Hint: The word “Binomial” should be in your answer.] (c) Find E(X).
A fair die is rolled repeatedly. Find the expected number of rolls until all 6 faces...
A fair die is rolled repeatedly. Find the expected number of rolls until all 6 faces appear.
A fair die is rolled repeatedly. Find the expected number of rolls until all 6 faces...
A fair die is rolled repeatedly. Find the expected number of rolls until all 6 faces appear.
Consider an experiment where a fair die is rolled repeatedly until the first time a 3...
Consider an experiment where a fair die is rolled repeatedly until the first time a 3 is observed. i) What is the sample space for this experiment? What is the probability that the die turns up a 3 after i rolls? ii) What is the expected number of times we roll the die? iii) Let E be the event that the first time a 3 turns up is after an even number of rolls. What set of outcomes belong to...
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT