Suppose a fair die is rolled five times. Find the numerical values for the expectations of the maximum numbers.
Suppose a fair die is rolled five times. Find the numerical values for the expectations of...
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...
Suppose a fair die is rolled 1000 times. What is a rough approximation to the sum of the numbers showing, based on the law of large numbers?
2. A fair red die and a fair blue die are rolled 2 times each. What is the probability of the product of numbers on the red die is less then the sum of numbers on the blue die?
a fair die is rolled five times. what is the probability that six will show twice
We roll a fair 8-sided die five times. (A fair 8-sided die is equally likely to be 1, 2, 3, 4, 5, 6, 7, or 8.) (a) What is the probability that at least one of the rolls is a 3? (b) Let X be the number of different values rolled. For example, if the five rolls are 2, 3, 8, 8, 7, then X = 4 (since four different values were rolled: 2,3,7,8). Find E[X].
A fair die is rolled five times. What is the probability of obtaining a 6, 3, 6, 6 and 6 in that order?
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 a fair die numbered 1 to 5 is rolled 4 times. Complete parts (a) and (b) below. (a) Find the probability distribution for the number of times 3 is rolled. 0 1 2 3 4 P(x) (Round to four decimal places as needed.) (b) What is the expected number of times 3 is rolled? E(x)=(Round to four decimal places as needed.)
What is the probability that a fair six-sided die rolled five times comes up 6 exactly once?
2. A fair red die and a fair blue die are rolled 2 times each. What is the probability of the product of numbers on the red die is less then the sum of numbers on the blue die? -Ive already posted this question but the answer given didn't explain how to calculate the number of successful cases. I know the total possible cases is 6*6*6*6=1296, but how do you calculate the number of successful cases?