The number of weaving defects in carpets follow a Poisson distribution with a mean of 0.05 defects per square foot. (a) Nine feet by twelve feet carpets are most common size of carpets sold in the market. What is the probability that there at least three defects in the carpet? (b) If 10 of these carpets are sold to an office, what is the probability that at most two of these carpets will have at least one defect? (c) Another quite common size of carpets those are sold are 4 feet by 6 feet. A store has 20 of these carpets in stock. It is known that 6 of these carpets are defective. If 8 carpets are sold to a customer, what is the probability that at most 2 defective carpets would be included in the lot?

The number of weaving defects in carpets follow a Poisson distribution with a mean of 0.05 defects per square foot. (a) Nine feet by twelve feet carpets are most common size of carpets sold in the market. What is the probability that there at least three defects in the carpet? (b) If 10 of these carpets are sold to an office, what is the probability that at most two of these carpets will have at least one defect? (c) Another quite common size of carpets those are sold are 4 feet by 6 feet. A store has 20 of these carpets in stock. It is known that 6 of these carpets are defective. If 8 carpets are sold to a customer, what is the probability that at most 2 defective carpets would be included in the lot?

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...

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