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There are two coins in a basket. One coin has the probability of head 0.5 and for the other coin the probability of head is 0.25. A coin is drawn at random from the basket with equal probability and tossed 5 times. a) What is the chance of observing 3 heads and 2 tails? b) Suppose that we have observed 3 heads and 2 tails, what is the probability that the coin we have selected is the unbiased one, i.e. the one in which P(H) = 0.5?
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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