Question

In: Statistics and Probability

An ordinary (fair) die is a cube with the numbers through on the sides (represented by...

An ordinary (fair) die is a cube with the numbers through on the sides (represented by painted spots). Imagine that such a die is rolled twice in succession and that the face values of the two rolls are added together. This sum is recorded as the outcome of a single trial of a random experiment. Compute the probability of each of the following events.

Event A : The sum is greater than 5 .

Event B: The sum is an even number.

Solutions

Expert Solution

Dear student,
I am waiting for your feedback. I have given my 100% to solve you queries.If you are satisfied by given answers. Please like it☺

orchestra answered 1 year ago
Next > < Previous

Related Solutions

An ordinary (fair) die is a cube with the numbers 1 through 6 on the sides...
An ordinary (fair) die is a cube with the numbers 1 through 6 on the sides (represented by painted spots). Imagine that such a die is rolled twice in succession and that the face values of the two rolls are added together. This sum is recorded as the outcome of a single trial of a random experiment. Compute the probability of each of the following events. Event A: The sum is greater than 9. Event B: The sum is not...
An ordinary (fair) die is a cube with the numbers 1 through 6 on the sides...
An ordinary (fair) die is a cube with the numbers 1 through 6 on the sides (represented by painted spots). Imagine that such a die is rolled twice in succession and that the face values of the two rolls are added together. This sum is recorded as the outcome of a single trial of a random experiment. Compute the probability of each of the following events. Event A: The sum is greater than 9 Event B: The sum is not...
Suppose you roll a fair 15 sided die. The numbers 1-15 appear once on different sides....
Suppose you roll a fair 15 sided die. The numbers 1-15 appear once on different sides. (Imagine a regular die with 12 sides instead of 6.) Answers may be left in formula form. (a) What is the probability of rolling a 7? (b) What is the probability of rolling an odd number and a number greater than 8? (c) What is the probability of rolling an even number or a number greater than 9? (d) Suppose you roll the die,...
a.  When a fair die is thrown, numbers 1 through 6 would appear with equal probability of...
a.  When a fair die is thrown, numbers 1 through 6 would appear with equal probability of 1/6. The mean is 3.5 and variance is 2.92. If 57 dice are thrown, what is the variance of their sum? b . When a fair die is thrown, numbers 1 through 6 would appear with equal probability of 1/6. The mean is 3.5 and variance is 2.92. If 40 dice are thrown, what is the mean of their sum? c. Let X be...
Suppose two fair sided die with sides labeled 1,2,3,4,5,6 are tossed independently. Let X = the...
Suppose two fair sided die with sides labeled 1,2,3,4,5,6 are tossed independently. Let X = the minimum of the value from each die. a. What is the probability mass function(pmf) of X? b. Find the mean E[X] and variance V (X). c. Write the cumulative distribution function (cdf) of X in a tabular form. d. Write F(x) the cdf of X as a step function and give a rough sketch for this function.
You have two fair six-sided dice. The sides of each die are numbered from 1 to...
You have two fair six-sided dice. The sides of each die are numbered from 1 to 6. Suppose you roll each die once. Let ? be ???(??? 1,??? 2), and let ? be ???(??? 1,??? 2). a) Find the joint PMF of ? and ?. b) Find ???(?). c) Find ?[?+?]
A fair red die and a fair green die are rolled. (a) What is the probability...
A fair red die and a fair green die are rolled. (a) What is the probability that the sum of the numbers is even? (b) What is the probability that the number on the red die is more than the number on the green die? (c) What is the probability that the number on the red die is twice the number on the green die? (d) What is the probability that the number on the red die is different from...
Suppose we roll a fair 6 sided die with the numbers [1,6] written on them. After...
Suppose we roll a fair 6 sided die with the numbers [1,6] written on them. After the first die roll we roll the die ? times where ? is the number on the first die roll. The number of points you score is the sum of the face-values on all die rolls (including the first). What is the expected number of points you will score?
Two ordinary fair, six-sided dice ate rolled. What is the probability the sum of the numbers...
Two ordinary fair, six-sided dice ate rolled. What is the probability the sum of the numbers on the two dice is 6, given that the number on at least one of the dice is 3? What is the probability the sum of the numbers on the two dice is 8, given that the number on at least one of the dice is 3? What is the probability that the sum of the numbers on the two dice is 9, given...
Create fair die – Can you make a fair die? Make a two cubes out of...
Create fair die – Can you make a fair die? Make a two cubes out of paper or clay. Label the faces 1 - 6 (or whatever). Toss your cube 100 times, and keep a tally of the results. Run a Chi-square Goodness of Fit Test to see if you have evidence to say your cube unfair. Submit a one page write up with data, calculations and conclusion. Since we have not discussed this test, you can earn extra credit...
ADVERTISEMENT
Subjects
ADVERTISEMENT
Latest Questions
ADVERTISEMENT