Question

1. You roll a die until you get four sixes (not necessarily consecutive). a. What is...

1. You roll a die until you get four sixes (not necessarily consecutive).

a. What is the mean and standard deviation of the number of rolls you will make?

b. What is the mean and standard deviation of the number of not 6 rolls you will make?

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

Homework Answers

Answer #1

Here the event is we throws a die until 4 sixes come.

​​​​​​

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
You roll a fair die 5 times. What is the probability you get at least four...
You roll a fair die 5 times. What is the probability you get at least four 6’s? This time you roll the die 204 times. What is the probability you get between 30 and 40 6’s?
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?...
Mary Math rolls a regular six-sided die and gets four sixes and stops. Would it be...
Mary Math rolls a regular six-sided die and gets four sixes and stops. Would it be appropriate to state that her die favors sixes? Could we conclude that the proportion of sixes is greater than the expected 1/6? Why or why not?
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...
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).
There are six normal dice in a box, and one special die (which has sixes on...
There are six normal dice in a box, and one special die (which has sixes on two sides and ones on the remaining four sides). We randomly draw a die, and then roll it 10 times. a) What is the probability that each number obtained will be a 1 or a 6? b) What is the probability that we have chosen the special die, given that each number obtained was a 1 or a 6?
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]
Roll a die (a) What is the probability of getting the first 6 at or before...
Roll a die (a) What is the probability of getting the first 6 at or before the fifth roll? (b) What is the probability of getting the third 6 at the tenth roll? (c) What is the expected number of rolls to get the fifth 6? (d) Given that the second 6 occurred at the tenth roll, what is the probability that the first 6 occurred at the fifth roll?
Suppose you roll a fair 100-sided die. What is the expected number of rolls you would...
Suppose you roll a fair 100-sided die. What is the expected number of rolls you would have to make to roll a 100? What is the expected number of rolls you would have to make to have rolled a 98, 99, and 100?
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...
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT