Question

In: Math

1 (a-c) You ask your graduate student to roll a die 5000 times and record the...

1 (a-c)

You ask your graduate student to roll a die 5000 times and record the results.

a) Give the expected mean and standard deviation of the outcome.

b) The die roll experiment is repeated (though with a different graduate student – for some reason your previous student went to work with a different advisor). However in this case, the die is weighted so that a 6 shows up 11% of the time, a 1 shows up 25% of the time, and all remaining numbers show up 16% (each). Now what is the expected mean and sd of 5000 rolls?

c) What would happen if we changed the experiment to 10,000 rolls?

Solutions

Expert Solution


Related Solutions

Problem #1 You ask your graduate student to roll a die 5000 times and record the...
Problem #1 You ask your graduate student to roll a die 5000 times and record the results. a)     Give the expected mean and standard deviation of the outcome. P= 1/6 , Q= 5/6 NP= 5,000 NP X P= 5,000 *1/6 = 5,000/6 SD: Square root(5,000 * 1/6 * 5/6) = Square Root b) The die roll experiment is repeated (though with a different graduate student – for some reason your previous student went to work with a different advisor). However in...
PROJECT C Roll a 6-sided die 800 times. If you do not desire to roll a...
PROJECT C Roll a 6-sided die 800 times. If you do not desire to roll a die manually, STATDISK can be used to simulate the process. To use STATDISK, go to “Data” at the top of the STATDISK window, and then choose “Dice Generator”. The “Dice Roll Random Sample Generator” window will appear. Then in that window, put 800 in for “Sample Size”, put 1 in for “Num Dice”, and put 6 in for “Num Sides”. Please disregard the “Random...
You roll a balanced die two times. Is the second roll independent of the first roll?
You roll a balanced die two times. Is the second roll independent of the first roll?
Suppose that you roll a die and your score is the number shown on the die....
Suppose that you roll a die and your score is the number shown on the die. On the other hand, suppose that your friend rolls five dice and his score is the number of 6’s shown out of five rollings. Compute the probability (a) that the two scores are equal. (b) that your friend’s score is strictly smaller than yours.
You roll a fair die three times. What is the probability of each of the​ following?...
You roll a fair die three times. What is the probability of each of the​ following? ​a) You roll all 4​'s. ​ b) You roll all even numbers.​ c) None of your rolls gets a number divisible by 3. ​ d) You roll at least one 2. ​e) The numbers you roll are not all 2​'s.
You roll a die 48 times with the following results. Number 1 2 3 4 5...
You roll a die 48 times with the following results. Number 1 2 3 4 5 6 Frequency 3 1 15 13 4 12 Use a significance level of 0.05 to test the claim that the die is fair. (PLEASE SHOW ALL YOUR WORK)
(5 pts) You are going to roll a pair of dice 108 times and record the...
(5 pts) You are going to roll a pair of dice 108 times and record the sum of each roll. Before beginning, make a prediction about how you think the sums will be distributed. (Each sum will occur equally often, there will be more 12s than any other sum, there will be more 5s than any other sum, etc.) Record your prediction here: (5 pts) Roll the dice 108 times and record the sum of each roll in the table...
26. You roll an eight-sided die five times and get a four every time. You suspect...
26. You roll an eight-sided die five times and get a four every time. You suspect that the die favors the number four. The die maker claims that the die does not favor any number. a. Perform a simulation involving 50 trials of rolling the actual die and getting a four to test the die maker’s claim. Display the results in a histogram. b. What should you conclude when you roll the actual die 50 times and get 20 fours?...
Suppose that we roll a die 166 times. What is the approximate probability that the sum...
Suppose that we roll a die 166 times. What is the approximate probability that the sum of the numbers obtained is between 544 and 606, inclusive. (if possible, could you explain the steps/ state theorems used). Thank you :)
Write a C++ die roller program. We need you to write a program that will roll...
Write a C++ die roller program. We need you to write a program that will roll dice for them, but not just six-sided dice. Your program needs to be able to take an input in for form nDx or ndx where the d is the letter d or D. n may or not be present. If it is, it represents the number of dice. If not, assume it is a 1. x may or may not be present. If it...
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT