1. Suppose you perform an experiment that consists of rolling two dice and recording their sum....

Suppose you perform an experiment that consists of rolling two dice and

recording their sum.

a. What is the sample space of this experiment?

b. Find the probability that the sum is either even or more than 9.

c. Find the probability that the sum is odd and a multiple of 3.

d. Find the expected sum.

When Fernando took MAT 257 last semester, he got the same exact score, 85%, in both Test 1 and Test 2. If the class mean and standard deviation for Test 1 were 86% and 4%, respectively, while the class means to score and standard deviation for Test 2 were 86% and 5%, respectively, in which test did Fernando perform relatively better? Explain.

Solutions

Expert Solution

orchestra answered 1 year ago

Next > < Previous

Related Solutions

Consider the experiment of rolling two dice. You win if you roll a sum that is...

Consider the experiment of rolling two dice. You win if you roll a sum that is at least 7 and at most 12. Find the probability of a win.

Consider the experiment of rolling two dice and the following events: A: 'The sum of the...

Consider the experiment of rolling two dice and the following events: A: 'The sum of the dice is 8' and B: 'The first die is an odd number' and C: "The difference (absolute value) of the dice is 2" Find (a) p(A and B) (HINT: You cannot assume these are independent events.) (b) p(A or B) (c) Are A and B mutually exclusive events? Explain. (d) Are A and B independent events? Explain. (e) Are B and C independent events? Explain.

An experiment consists of rolling six-sided dice twice. &

An experiment consists of rolling six-sided dice twice. (10) List the sample space for this experiment. Find the probability distribution for this experiment where x represents the number of even numbers in the 2 rolls. Find the mean of the probability distribution. Find the standard deviation of the probability distribution. Would it be unusual to get 2 even numbers? Why or why not? (show your work)

for the experiment of rolling an ordinary pair of dice, find the probability that the sum...

for the experiment of rolling an ordinary pair of dice, find the probability that the sum will be even or a multiple of 6. ( you may want to use a table showing the sum for each of the 36 equally likely outcomes.)

Consider a random experiment of rolling 2 dice. What is probability of rolling a sum larger...

Consider a random experiment of rolling 2 dice. What is probability of rolling a sum larger than 9? Select the best answer. A. 0.5 B. 0.1667 C. 0.2333 D. None of the above

Consider the game consisting of rolling a pair of fair 6-sided dice and recording the sum....

Consider the game consisting of rolling a pair of fair 6-sided dice and recording the sum. It will cost you $1 to play the game. If the sumis less than 5, then you will win $3. However, you do not get your $1 back so your profit is $2. If you roll a sum of exactly8, thenyou will win $4. However, you do not get your $1 back so your profit is $3. Otherwise, you lose your $1. A.What is...

Find the probability of rolling a sum of two dice that is a 7 or a...

Find the probability of rolling a sum of two dice that is a 7 or a 12. Round answer to 4 decimal places.

An experiment consists of rolling three fair dice --- a red die, a blue die, and...

An experiment consists of rolling three fair dice --- a red die, a blue die, and a white die --- and recording the number rolled on each die. Assume that the dice are fair, so that all outcomes are equally likely. (1) What probability should be assigned to each outcome? equation editorEquation Editor (2) What is the probability that the sum of the numbers rolled is 5? equation editorEquation Editor (3) What is the probability that the sum of the...

Let X be the random variable for the sum obtained by rolling two fair dice. (1)...

Let X be the random variable for the sum obtained by rolling two fair dice. (1) What is the probability density function? (2) What is the cumulative probability density function? (3) What is the expected value? (4) What is the variance?

You pay $1 to play a game. The game consists of rolling a pair of dice....

You pay $1 to play a game. The game consists of rolling a pair of dice. If you observe a sum of 7 or 11 you receive $4. If not, you receive nothing. Compute the expected value and standard deviation for this game?

Subjects