homework 5

# homework 5 - 0.54 0.37 0.91 15 0.52 0.38 0.89 for the...

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11.) x P(X=x) P(X<=x) P(bridge fails) 0 0.25 0.25 0.75 1 0.19 0.44 0.56 2 0.14 0.58 0.42 3 0.11 0.68 0.32 4 0.08 0.76 0.24 5 0.06 0.82 0.18 6 0.04 0.87 0.13 7 0.03 0.9 0.1 8 0.03 0.92 0.08 9 0.02 0.94 0.06 10 0.01 0.96 0.04 11 0.01 0.97 0.03 12 0.01 0.98 0.02 13 0.01 0.98 0.02 14 0 0.99 0.01 15 0 0.99 0.01 16 0 0.99 0.01 17 0 0.99 0.01 18 0 1 0 19 0 1 0 20 0 1 0 The probability of failure in a single season should be < .01. Therefore, the bridge should be built to withstand 16 hurricanes.

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12.) x= number defective bins chosen r= number of defective bins in lot N= number of bins sampled M= number of bins in load = 100 for the supplier: r=4 with >= 95% acceptance rate              x values N values 0 1 P(0 or 1 defective) 1 0.96 0.04 1 2 0.92 0.08 1 3 0.88 0.11 1 4 0.85 0.15 0.99 5 0.81 0.18 0.99 6 0.78 0.21 0.98 7 0.74 0.23 0.98 8 0.71 0.26 0.97 9 0.68 0.28 0.96 10 0.65 0.3 0.95 11 0.62 0.32 0.94 12 0.59 0.34 0.93 13 0.57 0.35 0.92 14
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Unformatted text preview: 0.54 0.37 0.91 15 0.52 0.38 0.89 for the customer: r=16 with < 50% acceptance rate x values N values 1 P(0 or 1 defective) 1 0.84 0.16 1 2 0.7 0.27 0.98 3 0.59 0.34 0.93 4 0.49 0.39 0.88 5 0.41 0.41 0.82 6 0.34 0.41 0.76 7 0.28 0.41 0.69 8 0.23 0.39 0.62 9 0.19 0.37 0.56 10 0.16 0.34 0.5 11 0.13 0.31 0.44 12 0.11 0.28 0.39 13 0.09 0.25 0.34 14 0.07 0.23 0.3 15 0.06 0.2 0.26 In order to meet the requirements of both parties, I recommend a sample size of 10 bins. 13.) x x/6 (x/6)^5 P(X=x) 1000*P(X=x) 1 0.17 0.13 2 0.33 3.99 3 0.5 0.03 0.03 27.13 4 0.67 0.13 0.1 100.44 5 0.83 0.4 0.27 270.19 6 1 1 0.6 598.12...
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## This note was uploaded on 02/15/2010 for the course IE 111 taught by Professor Storer during the Spring '07 term at Lehigh University .

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homework 5 - 0.54 0.37 0.91 15 0.52 0.38 0.89 for the...

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