Find the expected number of rolls of a die it takes to obtain the value one.
Find the expected number of rolls of a die it takes to obtain the value one.
Explain why the Expected Value of 100 rolls of a fair die is 3.5
If a die is rolled six times, let X be then number the die obtained on the first roll and Y be the sum of the numbers obtained from all the rolls. Find the expected value and variance of x and y.
A fair die is to be rolled 20 times. Find he expected value of the number of times (a). 6 appears. (b). 5 or 6 appears. (c). An even number appears. (d). Anything else but 6 appears. please explain the step
7. In n rolls of a fair die, let X be the number of times 1 is rolled, and Y the number of times 2 is rolled. Find the conditional distribution of X given Y-m 7. In n rolls of a fair die, let X be the number of times 1 is rolled, and Y the number of times 2 is rolled. Find the conditional distribution of X given Y-m
15.Consider an experiment that consists of 2 rolls of a balanced die. If X is the number of 4s and Y is the number of 5s obtained in the 2 rolls of the dic, find the joint probability distribution of X and Y; (1) P(X,Y)є A), where A is the region {(x, y)|2x+y<3} (2) 15.Consider an experiment that consists of 2 rolls of a balanced die. If X is the number of 4s and Y is the number of 5s...
Sally is rolling a fair 6-sided die. What is the probability that it takes 4 rolls for her to get a six? 0.5787 0.005 0.5177 0.096 0.1667
A fair die is rolled 12 times. What is the expected sum of the 12 rolls?
Problem 3 Roll a die until we get a 6. Let X be the total number of rolls and Y the number of l's we get. (a) Find Etx Y k (b) Find EY Problem 3 Roll a die until we get a 6. Let X be the total number of rolls and Y the number of l's we get. (a) Find Etx Y k (b) Find EY
In a game of repeated die rolls, a player is allowed to roll a standard die up to n times, where n is determined prior to the start of the game. On any roll except the last, the player may choose to either keep that roll as their final score, or continue rolling in hopes of a higher roll later on. If the player rolls all n times, then after the nth roll, the player must keep that roll as...
We roll a fair die repeatedly. Let N be the number of rolls needed to see the first six, and let Y be the number of fives in the first N -1 rolls. In class, we saw that E[Y I N]- (N - 1)/5. Using this, find EiY]. Also, find Cov(Y, N). Hint: N -1 is a geometric random variable. (Why?)