a player rolls a pair of fair die 10 times. the number X of 7's rolled is recorded
a player rolls a pair of fair die 10 times. the number X of 7's rolled...
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
5. A fair six sided die is rolled 10 times. Let X be the number of times the number '6' is rolled. Find P(X2)
A fair die is rolled 12 times. What is the expected sum of the 12 rolls?
Suppose a fair die is rolled 10 times. Find the numerical values of the expectations of each of the following random variables: a). the sum of the numbers in the 10 rolls; b). the sum of the largest 2 numbers in the first 3 rolls; c). the maximum number in the first 5 rolls; d). the number of multiples of 3 in the 10 rolls; e). the number of faces which fail to appear in the 10 rolls; f). the...
Problem 8 A fair die is rolled 10 times. What is the probability that the rolled die will not show an even number?
A fair die is rolled 10 times. What is the average number of even number outcomes?
b) Find Var(X) 5. A fair six sided die is rolled 10 times. Let X be the number of times the number '6' is rolled. Find P(X2) B SEIKI
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 rolled 100 times. Let X add the faces of all of the rolls together. Then µ = 350. Find an upper bound for P(X ≥ 400). Find the actual probability P(X = 100)
I know Pk~1/k^5/2 just need the work Problem 1. Suppose that a fair six-sided die is rolled n times. Let N be the number of 1's rolled, N2 be the number of 2's rolled, etc, so that NN2+Ns-n Since the dice rolls are independent then the random vector < N,, ,Ne > has a multinomial distribution, which you could look up in any probability textbook or on the web. If n 6k is a multiple of 6, let Pa be...