Q 1)A manufacturing defect occurs on average at a rate of 2 defects per 240 ft.

Question

Q 1)A manufacturing defect occurs on average at a rate of 2 defects per 240 ft. spool of wire. Assuming that the Poisson model applies, what is the probability of finding at most one defect in a lot that contains 3 spools?

Q 2) Archive weather data for the Twin Cities from the years 1872 through 2017 shows that the average high temperature for March 22 is 44 degrees F. The record high temperature for this date is 71 deg. F set in 1945. Provide an estimate for the z-score for a March 22 day with a high temperature of 60 deg F.

Explanation / Answer

Mean, m = 44

Max value = 71

Min value = 44-(71-44) = 17

So,

Approximate standard deviation, S = (Max-Min)/4 = (71-17)/4 = 13.5

So,

Estimate for z-score, z = (X-m)/S = (60-44)/13.5 = 1.185

Hope this helps !

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