#6-2 points A fair die is rolled 9 times. What is the expected sum of the...
A fair die is rolled 12 times. What is the expected sum of the 12 rolls?
A fair 6-sided die rolled 5 times. what is the probability that at least one of the rolls is 2
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?
Problem Page A fair die is rolled 6 times. What is the probability that a 6 is obtained on at least one of the rolls? Round your answer to three decimal places.
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?
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?
A die is rolled 120 times to see if it is fair. The table below shows the frequencies for each of the six possible outcomes. Use a level of significance of a = 0.05. a. Complete the rest of the table by filling in the expected frequencies (enter your answers in fraction form): Frequency of Dice Values Outcome Frequency Expected Frequency 29 2 23 ديا 17 4 10 5 23 6 18 b. What is the correct statistical test to...
7. (3 points) Given a fair 6-sided die. Each time the die is rolled, the probabilities of rolling any of the numbers from 1 to 6 are all equal. 1) If it is rolled once and let A be the event of rolling a number larger than 3 and B be the event of rolling an odd number. What is P(AV B)? 2) If it is rolled three times, what is the probability that the same number shows up in...
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
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...