3. A die is to be rolled 90 times. Let X count the number of times that we roll a 5. Determine E[X]
3. A die is to be rolled 90 times. Let X count the number of times...
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.
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)
Suppose that a fair die is rolled n times. We say that there is an increase at the i’th place if result on the i + 1’st roll is greater than the result on the i’th roll. Let X be a random variable representing the number of increases. Find E[X].
Suppose that a fair die is rolled n times. We say that there is an increase at the i’th place if result on the i + 1’st roll is greater than the result on the i’th roll. Let X be a random variable representing the number of increases. Find E[X].
A die is rolled 45 times, and let x be the number of 3s obtained. What is the standard deviation of the probability distribution of x?
Suppose a die is rolled six times. Let X be the total number of fours, and let Y be the number of fours in the first two rolls. Find the distribution and the expectation of X given Y.
Suppose that a fair die is rolled n times. We say that there is a repeat at the i’th place if the same number occurs on both the i’th and i + 1’st roll. Let X be a random variable representing the number of repeats. Find E[X].
Question 3 Suppose an unfair die is to an unfair die is rolled. Let random variable X indicate the number that the die lands on when rolled taking on the following probability values T 1 2 X Pr(X=> 1 1 .05 1 05 2 .10 3 20 4 40 5 .15 6 .10 A) Find the probability of rolling a 2 or a 6. ilor si s lo sonensyon b el B) Find the probability of rolling a number greater...
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