Question

Suppose you roll two dice and count the number of dots showing. Let A = "the...

Suppose you roll two dice and count the number of dots showing. Let A = "the sum of the dots showing on the two rolls is a prime number."

(a) Let B = "The first toss showed an even number of dots." Are A and B independent? Show your work.

(b) Let C = "the second toss was greater than the first." Are A and C independent? Show your work.

(c) Suppose we pick a value ?k for 1≤?≤61≤k≤6 and let event Dk = "the first toss was greater than or equal to ?.k." For which values of ?k are A and Dk independent? Show your work.

Math   Statistics-And-Probability   
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
If you roll two fair dice, what is the probability that the total number of dots...
If you roll two fair dice, what is the probability that the total number of dots (or "pips") showing on the two dice is less than 6? A. 0.417 B. 0.278 C. 0.50 D. 0.167
Suppose that you have three fair 6-sided dice that you roll and then count the total....
Suppose that you have three fair 6-sided dice that you roll and then count the total. Estimate the mean total if you were to roll the dice over and over by simulating 250,000 rolls and computing the average of the random outcomes. (In Python)
(a) If you roll a single die and count the number of dots on top, what...
(a) If you roll a single die and count the number of dots on top, what is the sample space of all possible outcomes? Are the outcomes equally likely? (b) Assign probabilities to the outcomes of the sample space of part (a). Do the probabilities add up to 1? Should they add up to 1? Explain. (c) What is the probability of getting a number less than 5 on a single throw? (d) What is the probability of getting 5...
You roll two six-sided fair dice. a. Let A be the event that either a 3...
You roll two six-sided fair dice. a. Let A be the event that either a 3 or 4 is rolled first followed by an odd number. P(A) =   Round your answer to four decimal places. b. Let B be the event that the sum of the two dice is at most 7. P(B) =  Round your answer to four decimal places. c. Are A and B mutually exclusive events? No, they are not Mutually Exclusive Yes, they are Mutually Exclusive d....
You roll two dice. Let Y be a random variable that is the larger of the...
You roll two dice. Let Y be a random variable that is the larger of the two rolls (or, if the rolls are the same, your random variable is that value). Write Y as a function from the outcome space to the real number What is the distribution of Y? What is P(Y≥5)?
In an experiment, two fair dice are thrown. (a) If we denote an outcome as the...
In an experiment, two fair dice are thrown. (a) If we denote an outcome as the ordered pair (number of dots on the first die, number of dots on the second die), write down the sample space for the experiment. (So a roll of “1 dot” on the first die and a roll of “3 dots” on the second die would be the ordered pair (1, 3) in the sample space S.) You can think of the first die as...
You roll two six-sided fair dice. a. Let A be the event that the first die...
You roll two six-sided fair dice. a. Let A be the event that the first die is even and the second is a 2, 3, 4 or 5. P(A) = Round your answer to four decimal places. b. Let B be the event that the sum of the two dice is a 7. P(B) = Round your answer to four decimal places. c. Are A and B mutually exclusive events? No, they are not Mutually Exclusive Yes, they are Mutually...
You roll two dice. Let A be the event that the sum of the dice is...
You roll two dice. Let A be the event that the sum of the dice is an even number. Let B be the event that the two results are different. If B has occured, what is the proability A has also occured?
Suppose you roll two twenty-sided dice, like the one I gave you in class today. Let...
Suppose you roll two twenty-sided dice, like the one I gave you in class today. Let X1,X2 the outcomes of the rolls of these two fair dice which can be viewed as a random sample of size 2 from a uniform distribution on integers. a) What is population from which these random samples are drawn? Find the mean (µ) and variance of this population (σ2)? Use a Word File to show your calculations and results.
You roll a pair of fair dice repeatedly. Let X denote the number of rolls until...
You roll a pair of fair dice repeatedly. Let X denote the number of rolls until you get two consecutive sums of 8(roll two 8 in a row). Find E[X]
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT