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IE111_F09_Exam3b_solutions

# IE111_F09_Exam3b_solutions - IE 111 Fall 2009 10:00 Section...

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IE 111 Solutions Fall 2009 10:00 Section Exam 3 Instructions 1. The test is open book, open notes. 2. You must show sufficient work to receive credit. 3. You do not need to interpolate in any tables you use. Just use the closest value. 4. All probabilities should be worked out to a number when possible 5. Each of the 4 problems is worth 25%. 6. This test is long. Cumulative Poisson Distribution Tables lambda x 80 90 100 110 120 130 140 150 70 0.143 0.017 0.001 0.000 0.000 0.000 0.000 0.000 80 0.530 0.158 0.023 0.002 0.000 0.000 0.000 0.000 90 0.879 0.528 0.171 0.029 0.003 0.000 0.000 0.000 100 0.987 0.865 0.527 0.183 0.035 0.004 0.000 0.000 110 0.999 0.982 0.853 0.525 0.194 0.041 0.005 0.000 120 1.000 0.999 0.977 0.842 0.524 0.204 0.047 0.007 130 1.000 1.000 0.998 0.972 0.831 0.523 0.212 0.053 140 1.000 1.000 1.000 0.997 0.967 0.822 0.522 0.221

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Question 1 Random variable X has the following probability density function: f(x) = kx/3+k for -3 ≤ x ≤ 0 f(x) = -kx+k for 0 ≤ x ≤ 1 f(x) = 0 otherwise
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IE111_F09_Exam3b_solutions - IE 111 Fall 2009 10:00 Section...

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