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1. Of 600 car parts produced, it is known that 350 are produced in one plant, 150 parts in a second plant, and 100 parts in a third plant. Also it is known that the probabilities are 0.15, 0.2, and 0.25 that the parts will be defective if they are produced in the ?rst, second, or third plants, respectively. What is the probability that a randomly picked part from this batch is not defective?
2. One class contains 5 girls and 10 boys and a second class contains 13 boys and 12 girls. A student is randomly picked from the second class and transferred to the ?rst one. After that, a student is randomly chosen from the ?rst class. What is the probability that this student is a boy?
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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