3. A factory producing electric motors has a 0.2% defective rate. A quality control inspector tests randomly selected motors from this production line. a) What is the probability that the first defective motor will be the sixth one tested? b) What is the probability that the first defective motor will be among the first six tested? c) What is the expected waiting time before the first defective motor is tested?010 8 Q9: A computer manufacturer finds that 1.5% of its chips fail quality-control testing. At least a) What is the probability that one of the first five chips off the line will be defective? b) What is the expected waiting time for a defective chip? p= 1.54. OR 01015 9= 0,985 ( Pass ) P / Fail quality ( Fail ) a ) P( os X 54 ) = P ( X = 0 ) + P( X = 1) + P(x : 2) + PIX= 1) + P(X= 4) Control ) 1 Fail + 1 Pass andf + 2 Pass, 3rdF + 3 Pass, 4+* F + 4 Pass, 5th F 0. 015 + (0. 985) (0.015)' + 10. 985) 2 (0:15 ) + 10.985) 3 (0, 815) + 10.985) 11.01 OR P (os X sy ) = 1 - (0, 985 )5 = 0.0728 = 010728 b) E (x)= 0.985 = 0.015 = 65. 7 chips (undefective) before a defective chip