Question

(1 point) A biotechnology company produced 176 doses of somatropin, including 9 which were defective. Quality control test 12 samples at random, and rejects the batch if any of the random samples are found defective. What is the probability that the batch gets rejected?

Answer 1

solution =) Here we have to find p (reject). Plveject) = P(at least one defective) El Plnone defective) from the given data Non defective = 176-9 : 167 Now, p(seject) = 12 (6710). . 1-0.5832024143 0.416792586 P(reject) = 10.4188) ) when a dice throw there are 36 possiable outcomes they are (1,1) (0,2) (1,5) (6,4) (1,5) (1,6) (2.1) (2,2) (2,3) (2/6) (2,5) (2,6) (3,1) (3,2) (3, 3) (3,4) (3,5) (3,6) (1) (4,2) (4,3) (4,4) (4,5) (46) Is, 1) (3, 2) (6,3) 15,4) (5,5) (3,6) ce (6,4) 16,3)(64) (6,5) (66) at der adding (1+1), (1+2), (143) ..- (646) we have

2 3 4 Ś 6 7 3 4 5 6 7 4 5 6 7 8 5 6 7 8 9 6 7 8 9 Le 7 8 9 lo !! 8 9 10 11 12 out comes that som to to are (644), 15ts) and (436) lie, No. of outcomes that som to 10 = 3 Pz 3/36 = lliz Here we have to find plx 34) P(x24) 2 1 - plxcu) P (x >w) 21- P(x53) criven na12 NOW, P(x26) = 1 - P(x<3) 51[Plx=o) + Plzzi) € plx=2) +Pfx=5] 31ho conosco-voy* * + ?e, (10) 0-4.3*4 "c. ()(1-1,527 Peg (vagº (1Viz]+97 1- 0.9861886 2 0.0138114 P(x24) 10.0138