Of all the weld failures in a certain assembly, 80% of them occur in the weld metal itself, and the remaining 20% occur in the base metal. A sample of 20 weld failures is examined. a) What is the probability that exactly five of them are base metal failures? b) What is the probability that fewer than four of them are base metal failures? c) Find the mean number of base metal failures. Round the answer to one decimal place. d) Find the standard deviation of the number of base metal failures.

Of all the weld failures in a certain assembly, 80% of them occur in the weld metal itself, and the remaining 20% occur in the base metal. A sample of 20 weld failures is examined. a) What is the probability that exactly five of them are base metal failures? b) What is the probability that fewer than four of them are base metal failures? c) Find the mean number of base metal failures. Round the answer to one decimal place. d) Find the standard deviation of the number of base metal failures.

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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Question

Of all the weld failures in a certain assembly, 80% of them occur in the weld metal itself, and the remaining 20% occur in the base metal. A sample of 20 weld failures is examined.

a) What is the probability that exactly five of them are base metal failures?

b) What is the probability that fewer than four of them are base metal failures?

c) Find the mean number of base metal failures. Round the answer to one decimal place.

d) Find the standard deviation of the number of base metal failures.

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