47. A company is manufacturing highway emergency flares. Such flares are sup pos

Question

47. A company is manufacturing highway emergency flares. Such flares are sup posed to burn for an average of 20 minutes. Every hour a sample of flares is collected, and their average burn time is determined. If the manufacturing process is working correctly, there is a 68% chance that the average burn time of the sample will be between 14 minutes and 26 minutes. The quality engineer in charge of the process believes that if 4 of 5 samples fall outside these bounds then this is a signal that the process might not be performing as expected. Each morning the sampling begins anew. Let X denote the number of samples drawn

Explanation / Answer

Negative Binomial

x=4 ; P =(1-0.68)

P(5 Trials) = (5-1)C(4-1) *(1-0.68)^4 * (0.68)^1

= (4!/(3!*1!)) * (0.32)^4 * (0.68)

= 0.0285 Answer

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