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Question: In Example, is the continuous-time Markov chain $ X(t): t ≥ 0 % a birth and death process?
Example: In Ponza, Italy, a man is stationed at a specific port and can be hired to give sightseeing tours with his boat. If the man is free, it takes an interested tourist a time period, exponentially distributed with mean 1/µ1, to negotiate the price and the type of tour. Suppose that the probability is α that a tourist does not reach an agreement and leaves. For those who decide to take a tour, the duration of the tour is exponentially distributed with mean 1/µ2. Suppose that tourists arrive at this businessman's station according to a Poisson process with parameter λ and request service only if he is free. They leave the station otherwise. If the negotiation times, the duration of the tours, and the arrival times of the tourists at the station are independent random variables, find the proportion of time the businessman is free.
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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