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Unformatted text preview: MATH 1131 3.00 A S1 Assignment 3 Total marks = 55 Question 1: A contractor is required by a county planning department to submit anywhere from one to five forms (depending on the nature of the project) in applying for a building permit. Let r.v. X = the number of forms required of the next applicant. The probability that x forms are required is known to be proportional to x ; that is, p X ( x ) = cx for x = 1 ,..., 5. (a) (1 mark). What is the value of c ? (b) (1 mark). What is the probability that at most three forms are re quired? (c) (1 mark). What is the probability that between two and four forms (inclusive) are required? (d) (2 marks). Could p X ( x ) = x 2 / 50 for x = 1 ,..., 5 be a probability distribution of X ? Explain. Question 2: Many manufacturers have quality control programs that in clude inspection of incoming materials for defects. Suppose that a computer manufacturer receives computer boards in lots of five. Two boards are ran domly selected without replacement from each lot for inspection. We candomly selected without replacement from each lot for inspection....
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 Spring '10
 Perkins
 Math, Statistics, Normal Distribution, Probability, Variance, probability density function

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