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X is said to be Position distributed with parameter lambda >0 if it has the following pmf: PX(x)= (lambda ^x)*e^(-lambda)/ x! where x = 0, 1, 2... and 0 otherwise. 1. For a certain virus , it is discovered that in 74% of the cases where the virus replicates, the replicate contains at least one mutation. If we assume that the number of mutations per replication is a random variable having a Poisson distribution, find the mean number of mutations per replication, and the percentage of replications that have 5 or more mutations. 2. Suppose that X~ Poisson(lambda), find E[X(X-1)(X-2)(X-3)].
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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