Question

Suppose that a die is loaded so that p(1) = .05, p(2) = .25, p(3) =...

Suppose that a die is loaded so that p(1) = .05, p(2) = .25, p(3) = .30, p(4) = .05, p(5) = .10, and p(6) = .25. What is the probability that out of 18 rolls of the die, there are three 1's, two 2's, four 3's, five 4's, one 5, and three 6's? Show your work.

Math   Advanced-Math   
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
Setup: 3 different people take turns rolling dice. They all get doubles WITHIN 3 ROLLS. NOT...
Setup: 3 different people take turns rolling dice. They all get doubles WITHIN 3 ROLLS. NOT IN A ROW. Each person waits their turn to roll. On each persons turn, they each roll doubles WITHIN 3 ROLLS. GIVEN THE FOLLOWING CONDITIONS: - There is a 25% chance that the dice are loaded so that:  Each die is loaded so that 6 comes up half the time P(6) = .5 for each die. The other numbers (1-5) are equally likely to show...
A loaded 8-sided die is loaded so that the number 4 occurs 3/10 of the time...
A loaded 8-sided die is loaded so that the number 4 occurs 3/10 of the time while the other numbers occur with equal frequency. What is the expected value of this die?
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...
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...
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.
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...
2. Consider a ten-sided die of which the sides display the numbers 1, 2, 3, and...
2. Consider a ten-sided die of which the sides display the numbers 1, 2, 3, and 4 according to this table: side of die 1 2 3 4 5 6 7 8 9 10 number displayed 1 1 1 1 2 2 2 3 3 4 Rolling two such dice is an experiment with the sample space S =       (1,1) (1,2) (1,3) (1,4) (2,1) (2,2) (2,3) (2,4) (3,1) (3,2) (3,3) (3,4) (4,1) (4,2) (4,3)...
7) Suppose you wish to test if a number cube (die) is loaded or not. If...
7) Suppose you wish to test if a number cube (die) is loaded or not. If the die is not loaded, the theoretical probabilities for each roll should be: 1- 16 2/3% 2- 16 2/3% 3- 16 2/3% 4- 16 2/3% 5- 16 2/3% 6- 16 2/3% You roll the die 87 times and come up with the following distribution: 1- 14 2- 11 3- 21 4- 13 5- 15 6- 13 What type of test should be used in...
Suppose you wish to test if a number cube (die) is loaded or not. If the...
Suppose you wish to test if a number cube (die) is loaded or not. If the die is not loaded, the theoretical probabilities for each roll should be: 1 2 3 4 5 6 16 2/3 % 16 2/3 % 16 2/3 % 16 2/3 % 16 2/3 % 16 2/3 % You roll the die 90 times and come up with the following distribution: 1 2 3 4 5 6 15 14 20 12 15 14 What type of...
1.A biased die is initially thrown 25 times and the number of 1's seen face-up is...
1.A biased die is initially thrown 25 times and the number of 1's seen face-up is seven. If the die is then thrown an additional 12 times, find the probability that a 1 will be seen exactly three times. Round your final answer to four (4) decimal places. 2.A biased die is initially thrown 25 times and the number of 1's seen face-up is seven. If the die is then tossed an additional 12 times, find the probability that a...
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT