It is known that 20% of products on a production line are defective. Products are inspected until first defective is encountered. Let X = number of inspections to obtain first defective (X → Geometric distribution) 1) What is the probability that the first defective occurs in the fifth item inspected? 2) What is the average number of inspections to obtain the first defective? 3) What is the probability that the first defective occurs in the first five inspections? (i.e P(X ≤5))

It is known that 20% of products on a production line are defective. Products are inspected until first defective is encountered. Let X = number of inspections to obtain first defective (X → Geometric distribution) 1) What is the probability that the first defective occurs in the fifth item inspected? 2) What is the average number of inspections to obtain the first defective? 3) What is the probability that the first defective occurs in the first five inspections? (i.e P(X ≤5))

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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