Question

Six million people each roll a fair die once. Find a number k so that the...

Six million people each roll a fair die once. Find a number k so that the total number of aces rolled falls between 1,000,000 - k and 1,000,000 + k with probability about 75%.

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
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 =
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 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
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?
A fair die is rolled once. Let A = the die shows an odd number. Let...
A fair die is rolled once. Let A = the die shows an odd number. Let B = the die shows a number greater than 4. (a) Find A ∪ B. (b) Find A ∩ B. (c) Find P(A ∪ B)
1) Let ? be the number that shows up when you roll a fair, six-sided die,...
1) Let ? be the number that shows up when you roll a fair, six-sided die, and, let ? = ?^2 − 5? + 6. a. Find both formats for the distribution of ??. (Hint: tep forms of probability distributions are CDF and pmf/pdf.) b.. Find F(2.35).
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.
You flip a fair coin. If the coin lands heads, you roll a fair six-sided die...
You flip a fair coin. If the coin lands heads, you roll a fair six-sided die 100 times. If the coin lands tails, you roll the die 101 times. Let X be 1 if the coin lands heads and 0 if the coin lands tails. Let Y be the total number of times that you roll a 6. Find P (X=1|Y =15) /P (X=0|Y =15) .
if you roll a fair die 7 times, find the probability that you never roll a...
if you roll a fair die 7 times, find the probability that you never roll a number smaller than 6
Example 1 A fair six-sided die is rolled six times. If the face numbered k is...
Example 1 A fair six-sided die is rolled six times. If the face numbered k is the outcome on roll k for k=1, 2, ..., 6, we say that a match has occurred. The experiment is called a success if at least one match occurs during the six trials. Otherwise, the experiment is called a failure. The sample space S={success, failure} The event A happens when the match happens. A= {success} Assign a value to P(A) Simulate the experiment on...