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.

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
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Chapter8: Sequences, Series,and Probability
Section8.7: Probability
Problem 4ECP: Show that the probability of drawing a club at random from a standard deck of 52 playing cards is...
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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.

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