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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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