Question

Recall: There is a 5% rule for treating dependent selections as independent. Remark: Consider probability 3.05 as unlikely. 4. At a factory, 810 parts were produced. It is known that a machine started producing defective parts and that 102 defective parts were produced before the machine was shut down. Someone was given the job of checking for the defective parts. (a) If 25 parts are selected one at a time without replacement, find the probability that they are all good. Hint: How many are good? (1 pt.) (b) Is it likely or unlikely to select 25 good parts? ( pt.)

Answer 1

102 0.125 At a factory 810 parts were produced. 102 defective parts were produced. P(defective) = 810 - 0 P (good) = 1-P (defective) = 1-0.125= 0.875 a) if 25 parts are selected at a time without replacment. P( all 25 parts selected are good) = P(good) xP (good) x ... 25 times. As all parts are independent) - (0.875)25 = 0.035 6). It is unlikely to select because probablity is all 25 as good parts. 0.035 which is less than 0.05.