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Problem 1: There is an unlimited pile of balls. They are numbered by 1, 2, 3....... Two players A and B randomly select one ball each and check their number. The winner is the player who picked the lowest numbered ball. Let us consider the chances of winning of player A. Assume that player A picked a ball with number k. As there is a finite number of balls numbered lower than k and unlimited number of ball with larger numbers, then we can conclude that the chance of player A winning is much more likely than loosing. However, the same argument works for the player B. Thus, both players have advantage over the other player. How is it possible?
Problem 2: Think of 10 cups with 1 marble in the first cup, 2 marbles in the second cup, 3 marbles in the third cup, and so on. Show that if cups are arranged in a circle in any order, then some three adjacent cups in the circle must contain a total of at least 17 marbles.
MATH1550H: Assignment: Question: A word is selected at random from the following poem of Persian poet and mathematician Omar Khayyam (1048-1131), translated by English poet Edward Fitzgerald (1808-1883). Find the expected value of the length of th..
MATH1550H: Assignment: Question: what is the least number of applicants that should be interviewed so as to have at least 50% chance of finding one such secretary?
MATH1550H: Assignment: Question: Experience shows that X, the number of customers entering a post office during any period of time t, is a random variable the probability mass function of which is of the form
MATH1550H: Assignment:Questions: (Genetics) What is the probability that at most two of the offspring are aa?
MATH1550H: Assignment: Questions: Let’s assume the department of Mathematics of Trent University has 11 faculty members. For i = 0; 1; 2; 3; find pi, the probability that i of them were born on Canada Day using the binomial distributions.
Caselet on McDonald’s vs. Burger King - Waiting time
Generate descriptive statistics. Create a stem-and-leaf plot of the data and box plot of the data.
Problems on Sampling Variability and Standard Error and Confidence Intervals
Estimate the population mean
Conduct a marketing experiment in which students are to taste one of two different brands of soft drink
Find out the probability
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