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IEOR_4150_SAMPLE_MIDTERM_2

# IEOR_4150_SAMPLE_MIDTERM_2 - ~IEO 4150 SECOND EXAMINATION...

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~IEO 4150 SECOND EXAMINATION NOVEMBER 11, 2008 NAME SHOW ALL, WORK! ! 1. This exercise refers to the table provided, showing education and related data for the states. Using the circled population data for the Mountain and Pacific states (AK, AZ, CA, CO, HI, ro, MT, NV, NM, OR, UT, WA,WYl: (a) Find the sample median q(O.S), the upper quartile q(O.75), and the lower quartile q(0.25). ,(b) Find the interquartile range. (c) Check for outliers. 2. The Hfe, 'in years, of a certain type of electrical switch has an exponential distribution with an average life beta=2. If 64 of these switches are installed in different systems, what is the probability that at least 18 fail during the first year? 3. Given the random variable X with probability distribution f(x)"'kx, 0<x<4 la) Find the value of k. (b) Find the probility distribution of Y- 4X-3. 4. The scores on a 'placement testior college freshmen for the past five years I re approximately normally distributed with a mean~-75 and a standard deviation' () -3. Would you still consider 0' -3 to be a valid value of the

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