A lathe machine it produces solid parts with 80% probability.  a) What is the probability distribution of the number of solid parts out of the 10 parts processed by this turning machine? b) What is the probability that the number of intact parts is 9? c) Each intact part costs from 80 TL and for broken parts from 10 TL as scrap. are sold. Processing cost of each piece is 30 TL. Find the probability function of the gain (a random variable in gain) and the expected payoff.

A First Course in Probability (10th Edition)
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A lathe machine it produces solid parts with 80% probability

a) What is the probability distribution of the number of solid parts out of the 10 parts processed by this turning machine?
b) What is the probability that the number of intact parts is 9?
c) Each intact part costs from 80 TL and for broken parts from 10 TL as scrap.
are sold. Processing cost of each piece is 30 TL. Find the probability function of the gain (a random variable in gain) and the expected payoff.

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