Question

6. Suppose that 10% of all the parts manufactured on a certain assembly line are defective. The line produces new part every 7 min, and each new part is tested. The assembly line will be stopped for inspection when 10 defective parts have been found. what is the probability that the line will be stopped before 8 hours?

Answer 1

9. No parts poseluced in 8 hrs: 8x60- 68.57 8 7 Cdlefective past produce 9tfolloo fet X be no bmomial dist shou b0.1, 4 1- -09, n- 48 Plx0) 68) (o. Co.9)-- 68-X P(ine wiu be gtopped befere 8 hours) -1- P(Line wiu be stopped after hours) =1-PCAtmest defec Hve pas fournd n & has) =1-Plx9)- 1-Eo1(0.9) 0.1385 L G8.57 iS taken as 68 in place 69 because 69t pant ewilu be procluch juat after hour

Although, if you will consider n as 69, the answer would be 0.1484