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1. An urn contains five red, five black, and five white balls. If three balls are chosen without replacement at random, what is the probability that they are of exactly two different colors?
2. (A Problem of Tom Sellke). Suppose that cards are picked at random from a full deck of 52 cards.
(a) What is the probability that exactly one jack, one queen, and one king have been picked from the deck when the first ace turns up?
(b) What is the probability that exactly two jacks, two queens, and two kings have been picked from the deck when the second ace turns up?
3. (Coincidence, Again). Four men throw their watches into the sea, and the sea brings back to each man at random one watch. What is the probability that exactly one man gets his own watch back?
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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