Question

A fair die is continually rolled until an even number has appeared on 10 distinct rolls....

A fair die is continually rolled until an even number has appeared on 10 distinct rolls. Let Xi denote the number of rolls that land on side i. Determine

(a) E[X1]

(b) E[X2]

(c) the probability mass function of X1

(d) the probability mass function of X2

Same Questions are on Q&A but I want to know why X1 is geometric. I know that geometric distribution means that the number of trials for first success.

Thanks

Math   Statistics-And-Probability   
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
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 fair 6 sided die 5 times. Let Xi be the number of times...
You roll a fair 6 sided die 5 times. Let Xi be the number of times an i was rolled for i = 1, 2, . . . , 6. (a) What is E[X1]? (b) What is Cov(X1, X2)? (c) Given that X1 = 2, what is the probability the first roll is a 1? (d) Given that X1 = 2, what is the conditional probability mass function of, pX2|X1 (x2|2), of X2? (e) What is E[X2|X1]
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.
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].
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...
A fair die is rolled until the number 6 first appears. Let N be the number...
A fair die is rolled until the number 6 first appears. Let N be the number of rolls, including the last roll. Given that we have rolled at least 4 times, what is the expected number of rolls? This one's killing me
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).
1) A 10-sided die is rolled infinitely many times. Let X be the number of rolls...
1) A 10-sided die is rolled infinitely many times. Let X be the number of rolls up to and including the first roll that comes up 2. What is Var(X)? Answer: 90.0 2) A 14-sided die is rolled infinitely many times. Let X be the sum of the first 75 rolls. What is Var(X)? Answer: 1218.75 3) A 17-sided die is rolled infinitely many times. Let X be the average of the first 61 die rolls. What is Var(X)? Answer:...
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT