X outcomes in the displayed Since the die is rolled 20 times, the simulation must provide...
A fair die is rolled 20 times, and the desirable outcomes are 2, 3, 5 or 6. Calculate the probability that the desirable even occurs five times?
A fair die is rolled 20 times, and the desirable outcomes are 2, 3, 5 or 6. Calculate the probability that the desirable even occurs five times?
A fair die is rolled 10 times. What is the average number of even number outcomes?
Example #2: A die is rolled. Assume that a random variable X represents the outcomes of this experiment. Construct a probability distribution table and represent this probability distribution graphically. (Use the x-axis for values of X and the y-axis for P(X)). Example #3: A coin is tossed 3 times. Suppose that the random variable X is defined as the number of heads. Construct a probability distribution of X and represent this probability distribution graphically. (Use the x-axis for values of X and the...
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 die is rolled 20 times. Given that three of the rolls came up number 1, five came up number 2, four came up number 3, two came up number 4, three came up number 5, and three came up number 6, how many different arrangements of the outcomes are there?
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
An unfair die was rolled 120 times. Below is a frequency table for the number of times it landed on each value: Number Frequency 1 27 2 39 3 21 4 18 5 6 6 9 Determine the probability that the die will land on a number less than 3 if it is going to be rolled again.
3. A die is to be rolled 90 times. Let X count the number of times that we roll a 5. Determine E[X]
A single six-sided die, whose faces are numbered 1 to 6, is rolled n times. The die is fair, each face is equally likely to land upward when the die is rolled. Let X be the number of times that the number on the upward face of the die is 1. Find the mean and the standard deviation of the random variable X.