Question

Favorites Discussions Kingsborough Yuja Send Email A-2020 Spring Term () Statistics... Google Translate Timed Test This test has a time limit of 1 hour and 15 minutes. This test will save and submit automatically when the time expires. Warnings appear when half the time, 5 minutes, 1 minute, and 30 seconds remain. Multiple Not allowed. This test can only be taken once. Attempts Force This test can be saved and resumed at any point until time has expired. The timer will continue to run if you leave the test. Completion See My Grades Groups Tools Remaining Time: 1 hour, 11 minutes, 36 seconds. Question Completion Status Moving to another question will save this response Question 1 of 5 > >> Question 1 6 points Save Answer A factory production line is manufacturing bolts using three machines, A, B and C or the total output, machine Ais responsible for 25%, machine for 35% and machine for the rest. It is known from previous experience with the machines that of the output from machine A 4 from machine B and 246 from machine Cis defective. A bolt is chosen at random from the production line and found to be non-defective. What is the probability that it came from machine A Round answer to 4 decimal places. TTT Arla : (1201) • T.EE Patio Words:0 Moving to another question will save this response Question 1 of 5 MacBook Air $ % 8 9 0 E R Y O 'I Р

Answer 1

ANSWER Let us forot define the following evento A: am output is coming from machine A 11 B c. C: N:, * 19 non-defective. We are given- +35 . 11 : Ba 11 P(A)- 25700 -0.25 P(6)= 35/100 -0.35 PC- 1-25 100 =0:40 where pa) is probabilly, that event A ocors, similarly we denote pce) and PCC) for evento B and C. Also, percentage of outputs that are defective, coming from machine: A = 5% B = 4% = 2%. Percentage of outputs, that are non-defectives coming form machine : A-100-5), -95% (100-4) 4 = 964 : C-(100-25% - 98% Let us write, the probabilities that a randomly. selected bot coming from machines A, B and a will be non-defective as - P(NIA)- 0.95 PONIB)=0.96 Palc)=0.98 Now, we we Baye's theorem to find nequined probability non-defective is coming from machine A nie PCAIN). PCAIN) --- P(A). P(NIA PAP(NIA)*P(6) P(N16)+P© P(NIC) (0.25 XD-95) (0-25 X0-95)+(0-35x0.96+0.40x0.98 0.2375 (0.2345 +0.336+0.392) = 0.2460 (approx) Answer: Proobability, that the selected mon- defective came booom machine A = 0.2460. +