Elektra receives 75% of its electronic components from vendor A and the remaining 25% from vendor B. The percentage of defectives from vendors A and B are 190 and 2%, respectively. When a random sample of size 5 from a received lot is inspect ne defective unit is found. Determine the probability that the lot is received from vendor A. From vendor B. (Hint: The probability distribution of defective items in a sample is binomial.)

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Savage

Mathematics

8 October, 23:39

Elektra receives 75% of its electronic components from vendor A and the remaining 25% from vendor B. The percentage of defectives from vendors A and B are 190 and 2%, respectively. When a random sample of size 5 from a received lot is inspect ne defective unit is found. Determine the probability that the lot is received from vendor A. From vendor B. (Hint: The probability distribution of defective items in a sample is binomial.)

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Shaffer · Answer 1

Step-by-step explanation:

P (1 defective) = P (from A and 1 defective) + P (from B and 1 defective)

=0.75*5C1 (0.01) 1 (0.99) 4+0.25*5C1 (0.02) 1 (0.98) 4 = 0.75*0.0480+0.25*0.0922 = 0.0591

hence P (lot from vendor A given 1 defective) = P (from A and 1 defective) / P (1 defective) = 0.75*0.0480/0.0591=0.6097

P (lot from vendor B given 1 defective) = P (from B and 1 defective) / P (1 defective) = 0.25*0.0922/0.0591=0.3903