Question

Your company purchased K new 3D printers that are ready for testing. Each machine (3D printer) $M_i$, has a known probability of printing a defective product: $p_i$, $i = 1, 2, \dots, K$. The initial test consists of operating one 3D printer selected at random, and testing its first printed product. a) What is the probability that the first printed product is defective? b) If the first printed product is defective, what is the probability that it was printed by machine $M_i$? c) If the first printed product is found defective, the next step is to have the same machine print a second product for testing. What is the probability that the second printed product is also defective?

          Your company purchased K new 3D printers that are ready for testing. Each machine (3D printer) $M_i$, has a known probability of printing a defective product: $p_i$, $i = 1, 2, \dots, K$. The initial test consists of operating one 3D printer selected at random, and testing its first printed product.
a) What is the probability that the first printed product is defective?
b) If the first printed product is defective, what is the probability that it was printed by machine $M_i$?
c) If the first printed product is found defective, the next step is to have the same machine print a second product for testing. What is the probability that the second printed product is also defective?

Your company purchased K new 3D printers that are ready for testing. Each machine (3D printer) Mi, has a known probability of printing a defective product: pi, i = 1, 2, …, K. The initial test consists of operating one 3D printer selected at random, and testing its first printed product.
a) What is the probability that the first printed product is defective?
b) If the first printed product is defective, what is the probability that it was printed by machine Mi?
c) If the first printed product is found defective, the next step is to have the same machine print a second product for testing. What is the probability that the second printed product is also defective?

Added by Cole W.

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