In each trial of an experiment, an error occurs with probability 0.15. An error is a major error with probability 0.2 and a minor error with probability 0.8. The experiment is repeated 12 times, and trials are independent of one another. (a) What is the probability that an error occurs in exactly 4 of the trials? (b) What is the probability that exactly 3 minor errors occur? (c) What is the probability that exactly 2 minor and 2 major errors occur? (d) What is the number of times the

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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please only part b,c & d.
In each trial of an experiment, an error
occurs with probability 0.15. An error is a
major error with
probability 0.2 and a minor error with
probability 0.8. The experiment is repeated
12 times, and trials
are independent of one another.
(a) What is the probability that an error
occurs in exactly 4 of the trials?
(b) What is the probability that exactly 3
minor errors occur?
(c) What is the probability that exactly 2
minor and 2 major errors occur?
(d) What is the number of times the
experiment has to be repeated to have 6 or
more error-free trials
with probability greater than or equal to
0.9?
Transcribed Image Text:In each trial of an experiment, an error occurs with probability 0.15. An error is a major error with probability 0.2 and a minor error with probability 0.8. The experiment is repeated 12 times, and trials are independent of one another. (a) What is the probability that an error occurs in exactly 4 of the trials? (b) What is the probability that exactly 3 minor errors occur? (c) What is the probability that exactly 2 minor and 2 major errors occur? (d) What is the number of times the experiment has to be repeated to have 6 or more error-free trials with probability greater than or equal to 0.9?
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