# A lathe machine it produces so

A lathe machine it produces solid parts with 80% probability. This turning machine continues to produce until the 5th damaged part is produced.

a) What is the probability distribution of the number of productions made until the 5th defective part is produced?

b) What is the probability that the 5th defective part will appear in the 20. production?

c) The sales price of the intact part is 80 TL, and the scrap parts are from 10 TL are sold. Processing cost of each piece is 30 TL. Your profit (one in gain
random variable) find the probability function and the expected payoff.

# A lathe machine it produces so

A lathe machine it produces solid parts with 80% probability. This turning machine continues to produce until the first defective part is produced.

a) What is the probability distribution of the number of productions made until the first defective part is produced?
b) What is the probability that the first defective part will show up in the 6th production?
c) the selling price of the intact part is 80 TL and the damaged parts are sold as scrap for 10 TL. Processing cost of each piece is 30 TL. Your profit (one in gain
random variable.) Find the probability function and the expected payoff.

# A lathe machine it produces so

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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