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

College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter9: Counting And Probability
Section9.3: Binomial Probability
Problem 2E: If a binomial experiment has probability p success, then the probability of failure is...
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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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