Smith is a weld inspector at a shipyard. He knows from keeping track of good and substandard welds that for the afternoon shift 5% of all welds done will be substandard. If Smith checks 300 of the 7500 welds completed that shift, what is the probability that he will find between 10 and 20 substandard welds? Round to four decimal places. A. 0.6377 B. 0.4066 C. 0.2033 D. 0.8147
Added by Charles B.
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Let: n = number of trials (welds checked) = 300 p = probability of a weld being substandard = 5% = 0.05 X = number of substandard welds found We want to find the probability that Smith will find between 10 and 20 substandard welds, inclusive. This means we want Show more…
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'Smith is weld inspector at a shipyard. He knows from keeping track of good and substandard welds that for the afternoon shift; 5% of all welds done will be substandard, If Smith checks 300 of the 7500 welds completed that shift, what is the probability that he will find more than 25 substandard welds? Round to four decimal places 0.4960 0.5040 0.0040 0.9960'
Narayan H.
Derek F.
Smith is a weld inspector at a shipyard. He knows from keeping track of good and substandard welds that for the afternoon shift, 5% of all welds done will be substandard. If Smith checks 300 of the 7500 welds completed that shift, what is the probability that he will find between 10 and 20 substandard welds? A) 0.2033 B) 0.6377 C) 0.8132 D) 0.4066 P(10 ≤ X ≤ 20) Z1 = (X1 - µ) / σ = -1.32 Z2 = (X2 - µ) / σ = 1.32 P(-1.32 ≤ Z ≤ 1.32) = P(Z ≤ 1.32) - P(Z ≤ -1.32) = 0.8132 (answer)
Christopher D.
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