Question

Suppose we roll a fair six-sided die and sum the values obtained on each roll, stopping...

Suppose we roll a fair six-sided die and sum the values obtained on each roll, stopping once our sum exceeds 376. Approximate the probability that at least 100 rolls are needed to get this sum.

Probability =

Homework Answers

Answer #1

Problem.in this answer then comment below.. i will help you..

.

Please thumbs up for this solution..thanks.

.

if we need atleast 100 rolls to make sum exceeds 376 ..this means that 99 rolls make sum less than 376 ...we use this to find probability..

And here value of n is large , so we approximate this by normal distribution

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
5. Suppose the six-sided die you are using for this problem is not fair. It is...
5. Suppose the six-sided die you are using for this problem is not fair. It is biased so that rolling a 6 is three times more likely than any other roll. For this problem, the experiment is rolling a six-sided die twice. (A): What is the probability that one or both rolls are even numbers (2, 4 or 6’s)? (B): What is the probability that at least one of the rolls is an even number or that the sum of...
A fair six-sided die is rolled until each face is observed at least once. On the...
A fair six-sided die is rolled until each face is observed at least once. On the average, how many rolls of the die are needed? Hint: use mathematical expectation and geometric distribution
We roll three fair six-sided dice. (a) What is the probability that at least two of...
We roll three fair six-sided dice. (a) What is the probability that at least two of the dice land on a number greater than 4? (b) What is the probability that we roll a sum of at least 15? (c) Now we roll three fair dice n times. How large need n be in order to guarantee a better than 50% chance of rolling a sum of at least 15, at least once?
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.
Suppose that we roll a pair of (6 sided) dice until the first sum value appears...
Suppose that we roll a pair of (6 sided) dice until the first sum value appears that is 7 or less, and then we stop afterwards. a. What is the probability that exactly three (pairs of) rolls are required? b. What is the probability that at least three (pairs of) rolls are needed? c. What is the probability that, on the last rolled pair, we get a result of exactly 7?
Assume that a fair six-sided die is rolled 9 times, and the roll is called a...
Assume that a fair six-sided die is rolled 9 times, and the roll is called a success if the result is in {1,2}{1,2}. What is the probability that there are exactly 4 successes or exactly 4 failures in the 9 rolls?
suppose we roll a fair die repeatedly a) find the probability that first time we roll...
suppose we roll a fair die repeatedly a) find the probability that first time we roll a prime number is on 4th roll? b) find the probability that we get our third prime on the 10th roll?
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.
Suppose you plan to roll a fair six-sided die two times. What is the probability of...
Suppose you plan to roll a fair six-sided die two times. What is the probability of rolling a ‘1’ both times? Group of answer choices
Find the probability that in 200 tosses of a fair​ six-sided die, a five will be obtained...
Find the probability that in 200 tosses of a fair​ six-sided die, a five will be obtained at least 40 times.
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT