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A lot (collection) consisting of 200 fuses is inspected by taking 10 fuses at random and without replacement. If all 10 "blow" at the correct amperage, the lot is accepted. If there are 20 defective fuses in the lot and the random variable X equals the number of defectives among the 10 selected, find the p.m.f., the mean, and the variance of X. What is the probability of accepting the lot? Find the probability using the hypergeometric distribution, then the binomial approximation, and finally the Poisson approximation.
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.
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