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1. A binomial random variable has mean 14 and variance 4.2. Find the probability that it is strictly larger than 10.
2. (Distribution of Sum). The demand for the daily newspaper in a vending stall is distributed as Bin.20; :75/ on weekdays and Bin.50; :75/ on the weekend. Assuming that all days are independent, what is the distribution of the weekly demand?
3. (Distribution of Difference). The demand for the daily newspaper on a Monday in a vending stall is distributed as Bin.20; :75/ and that on a Sunday as Bin.50; :75/. Find the probability that at least 20 more newspapers are sold on a Sunday than on a Monday at this stall.
4. * (Distribution of Difference). The number of earthquakes per year in Los Angeles of magnitude greater than 4 has a mean of .5 and that in Manila, Phillipines has a mean of 1. Find the pmf of the absolute difference between the number of earthquakes of magnitude greater than 4 in the two cities and approximately calculate the mean of the absolute difference.
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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