Question

In: Statistics and Probability

Find the probability that the total number of spots showing on 200 fair dice, rolled randomly,...

Find the probability that the total number of spots showing on 200 fair dice, rolled randomly, is in the range 680 to 720. Give your answer as a percent, without the percent sign. Describe the details of your calculation in the previous problem. Describe the box model (how many tickets in the box model, what numbers are on the tickets, how many of each?). You do not have to write complete sentences. Give the average and SD for the box. Give the expected total number of spots and the SE for the total number of spots. Give the appropriate z value.

Solutions

Expert Solution

Solution:


Related Solutions

Three fair dice are rolled. Let S be the total number of spots showing, that is...
Three fair dice are rolled. Let S be the total number of spots showing, that is the sum of the results of the three rolls. a) Find the probabilities P(S = 3), P(S = 4), P(S = 17), P(S = 18). b) Find the probability P(S ≥ 11).
1. Suppose that two fair dice are rolled. Find the probability that the number on the...
1. Suppose that two fair dice are rolled. Find the probability that the number on the first die is a 6 or the number on the second die is a 2.
Two fair dice are rolled: a) What is the probability of an even number or a...
Two fair dice are rolled: a) What is the probability of an even number or a 3 on the first die? Are these two events mutually exclusive and why? b) What is the probability of an even number on the first die and a 5 on the second? Is conditional probability involved in this case? Why or why not?
Two fair dice are rolled. What is the probability of… a)Rolling a total of 8? b)...
Two fair dice are rolled. What is the probability of… a)Rolling a total of 8? b) Rolling a total greater than 5? c)Rolling doubles? d)Rolling a sum of 6 or a sum of 8? e)Rolling a sum of 4 or doubles? f)Rolling a sum of 4 and doubles? g)Rolling a sum of 2, 4 times in a row?
A die is rolled. Find the probability of the given event. (a) The number showing is...
A die is rolled. Find the probability of the given event. (a) The number showing is a 2; The probability is :       (b) The number showing is an even number; The probability is :      (c) The number showing is greater than 5; The probability is :     
6 fair 12-sided dice are rolled. (a) [3 marks] Find the conditional probability that at least...
6 fair 12-sided dice are rolled. (a) [3 marks] Find the conditional probability that at least one die lands on 3 given that all 6 dice land on different numbers. (b) [2 marks] True or False: If X is the maximum of the 6 numbers from one roll, and Y is the minimum of the 6 numbers from one roll, then X and Y are independent random variables.
Shandelle rolls a pair of fair dice and sums the number of spots that appear on...
Shandelle rolls a pair of fair dice and sums the number of spots that appear on the up faces. She then flips a fair coin the number times associated with the sum of the spots. For example, if she rolled a 3 and a 4, then she flips the fair coin 7 times. If the coin flipping part of the random experiment yielded an equal number of heads and tails, find the probability that she rolled an 8 on the...
Five fair die are rolled. What is the probability of at most two of the dice...
Five fair die are rolled. What is the probability of at most two of the dice coming up a one or a six? Your workings should show the use of appropriate laws and formulae — do not provide a purely arithmetic answer.
Q1. Two fair dice are rolled. What is the probability of… a)         Rolling a sum of...
Q1. Two fair dice are rolled. What is the probability of… a)         Rolling a sum of 4 or doubles? b) Rolling a sum of 4 and doubles c)         Rolling a sum of 2, 4 times in a row? Q2. True or False. A discrete sample space is one in which outcomes are counted
A die is rolled 100 times. The total number of spots is 368 instead of the...
A die is rolled 100 times. The total number of spots is 368 instead of the expected 350. Can this be explained as a chance variation, or is the die loaded? A die is rolled 1000 times. The total number of spots is 3680 instead of the expected 3500. Can this be explained as a chance variation, or is the die loaded?
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT