5. A sample of n = 2000 parts is pulled from a process every 8 hours and inspected. If fewer than 6 defective parts are found the process is left to run (i.e. c = 5). Otherwise it is stopped until a problem can be found. If the process fraction defective is p = 0.001: a. Find the exact probability of letting the process run. (Hint: Use Calc> Probability Distributions> Binomial in MINITAB or Excel's binomdist() function from the list of statistical functions.) b. Find the approximate probability of letting the process run using the Poisson approximation. c. Find the error of the estimate.

5. A sample of n = 2000 parts is pulled from a process every 8 hours and inspected. If fewer than 6 defective parts are found the process is left to run (i.e. c = 5). Otherwise it is stopped until a problem can be found. If the process fraction defective is p = 0.001: a. Find the exact probability of letting the process run. (Hint: Use Calc> Probability Distributions> Binomial in MINITAB or Excel's binomdist() function from the list of statistical functions.) b. Find the approximate probability of letting the process run using the Poisson approximation. c. Find the error of the estimate.

Calculus For The Life Sciences

2nd Edition

ISBN:9780321964038

Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Chapter12: Probability

Section12.4: Discrete Random Variables; Applications To Decision Making

Problem 2E

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