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 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 First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

See similar textbooks

Similar questions

A non-biased die is being thrown 360 times. Find the probability that the sum of the die roles is more or equal to 1200.
It is known that the average lifetime of a central processing unit (CPU) of a server is eight years and shows an exponential distribution. What is the probability that the company that leases the server for five years will encounter a central processing unit (CPU) failure within the lifetime? a)0.465 b)0.395 c)0.535 d)0.606 e)no one
Assume that the probability of getting a job that you applied for is 19%. Give all answers to at least 3 decimal places. a) What is the average number of jobs you need to apply to, before you get one job offer? b )If you have a criminal record, then your probability of getting a job that you applied for is 1/5 of your probability of getting a job without a criminal record. What is the average number of jobs you need to apply to, before you get one job offer if you have a criminal record?
The battery life of a mobile device is uniformly distributed between 9 to 12 hours. Find the probability that the battery life will be between 10.5 and 11.5 hours.
The width of a widget is evenly distributed between 5 cm and 15 cm . If the width of widget is less than 12 cm Find the probability that it is more than 9cm??
The delivery time of a shipment from a supplier to a retailer is exponentially distributed with mean 7 days. The supplier must deliver a shipment by 14 days. What is the probability that shipment takes more than 14 days? Show your work.
The number of work accidents that occur per week in a mine follows Poisson's law so that the probability of 2 accidents occurring is equal to 3/2 of the probability of an accident occurring. Calculate the probability that the time for the first accident to occur is one week.
how do I find the probability that a bottle would be filled less than 495 milliliters?
Let ? be the amount of time (in minutes) a postal clerk spends with his or hercustomer. The time is known to have an exponential distribution with the average amount of timeequal to four minutes.i) Find the probability that a clerk spends four to five minutes with a randomly selected customer.ii) Find the probability that a clerk spends at least five minutes with a randomly selected customer.