Question

Suppose a fair die is tossed three times. Let X be the smallest of the three...

Suppose a fair die is tossed three times. Let X be the smallest of the three faces that appear.

a)Find pX(k).

b)Let Y be the same of the three faces that appear, Find pY(k).

please explain how to get that answer

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
A fair die is rolled three times. Let X denote the number of different faces showing,...
A fair die is rolled three times. Let X denote the number of different faces showing, X = 1, 2, 3. Find E(X). Give a good explanation please
1. (8 pts total) Assume that a single fair die is tossed 100 times. Let X...
1. (8 pts total) Assume that a single fair die is tossed 100 times. Let X denote the number obtained in a given toss (so X is 1, 2, 3, 4, 5, or 6). Suppose that x = 2.83 for these 100 tosses. It can be shown that µ = 3.5 and σ =35/12 = 2.91666 . . . (a) (7 pts) Find a 95% confidence interval for µ, based on the given value of x. (b)(1 pt) Did the...
A fair coin is tossed three times. Let X be the number of heads among the...
A fair coin is tossed three times. Let X be the number of heads among the first two tosses and Y be the number of heads among the last two tosses. What is the joint probability mass function of X and Y? What are the marginal probability mass function of X and Y i.e. p_X (x)and p_Y (y)? Find E(X) and E(Y). What is Cov(X,Y) What is Corr (X,Y) Are X and Y independent? Explain. Find the conditional probability mass...
A fair coin is tossed for n times independently. (i) Suppose that n = 3. Given...
A fair coin is tossed for n times independently. (i) Suppose that n = 3. Given the appearance of successive heads, what is the conditional probability that successive tails never appear? (ii) Let X denote the probability that successive heads never appear. Find an explicit formula for X. (iii) Let Y denote the conditional probability that successive heads appear, given no successive heads are observed in the first n − 1 tosses. What is the limit of Y as n...
Three dice are rolled and two fair coins are tossed. Let X be the sum of...
Three dice are rolled and two fair coins are tossed. Let X be the sum of the number of spots that show on the top faces of the dice and the number of coins that land heads up. The expected value of X is ____?
I roll a fair die until I get my first ace. Let X be the number...
I roll a fair die until I get my first ace. Let X be the number of rolls I need. You roll a fair die until you get your first ace. Let Y be the number of rolls you need. (a) Find P( X+Y = 8) HINT: Suppose you and I roll the same die, with me going first. In how many ways can it happen that X+Y = 8, and what is the probability of each of those ways?...
Let X represent the number that occurs when a 50-sided red die is tossed and Y...
Let X represent the number that occurs when a 50-sided red die is tossed and Y the number that occurs when a 50-sided green die is tossed a) find E(X+Y)
Suppose a coin is tossed three times and let X be a random variable recording the...
Suppose a coin is tossed three times and let X be a random variable recording the number of times heads appears in each set of three tosses. (i) Write down the range of X. (ii) Determine the probability distribution of X. (iii) Determine the cumulative probability distribution of X. (iv) Calculate the expectation and variance of X.
A fair coin is tossed three times and the RV X equals the total number of...
A fair coin is tossed three times and the RV X equals the total number of heads. Find and sketch the pdf, fX (x), and the PDF FX (x).
A fair six-sided die is rolled 10 independent times. Let X be the number of ones...
A fair six-sided die is rolled 10 independent times. Let X be the number of ones and Y the number of twos. (a) (3 pts) What is the joint pmf of X and Y? (b) (3 pts) Find the conditional pmf of X, given Y = y. (c) (3 pts) Given that X = 3, how is Y distributed conditionally? (d) (3 pts) Determine E(Y |X = 3). (e) (3 pts) Compute E(X2 − 4XY + Y2).
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT