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2-9. If A, B and C are mutually exclusive events with P[A] = 0.2, P[B] = 0.3, and P[C] = 0.4, determine the following probabilities: b) P[AN BNC] d) P[(AU B)NC] a) P[AUBUC] c) P[AN B]

2-9. If A, B and C are mutually exclusive events with P[A] = 0.2, P[B] = 0.3, and P[C] = 0.4, determine the following probabilities: b) P[AN BNC] d) P[(AU B)NC] a) P[AUBUC] c) P[AN B]

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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2-9. If A, B and C are mutually exclusive events with P[A] = 0.2, P[B] = 0.3, and P[C] = 0.4, determine the following probabilities: %3D b) P[ANBNC] d) P[(AU B) nC] a) P[AUBUC) c) P[AN B] e) P[A'n B'nC'] 2-10. Interest centers around the life of an electronic component. Suppose it is known that the probabil- ity that the component survives for more than 6000 hours is 0.42. Suppose also that the probability that the com survives no longer than 4000 hours is 0.04. a) What is the probability that the life of the com- ponent is less than or equal to 6000 hours? b) What is the probability that the life is greater than 4000 hours? 2-11. Consider the situation of Exercise 2-10. Let A be the event that the component fails a particular test and B be the event that the component displays strain but does not actually fail. Event A occurs with probability 0.20, and event B occurs with probability 0.35. a) What is the probability that the component does not fail the test? b) What is the probability that the component works perfectly well (i.e., neither displays strain nor fails the test)? c) What is the probability that the component ei- ther fails or shows strain in the test?
Transcribed Image Text:2-9. If A, B and C are mutually exclusive events with P[A] = 0.2, P[B] = 0.3, and P[C] = 0.4, determine the following probabilities: %3D b) P[ANBNC] d) P[(AU B) nC] a) P[AUBUC) c) P[AN B] e) P[A'n B'nC'] 2-10. Interest centers around the life of an electronic component. Suppose it is known that the probabil- ity that the component survives for more than 6000 hours is 0.42. Suppose also that the probability that the com survives no longer than 4000 hours is 0.04. a) What is the probability that the life of the com- ponent is less than or equal to 6000 hours? b) What is the probability that the life is greater than 4000 hours? 2-11. Consider the situation of Exercise 2-10. Let A be the event that the component fails a particular test and B be the event that the component displays strain but does not actually fail. Event A occurs with probability 0.20, and event B occurs with probability 0.35. a) What is the probability that the component does not fail the test? b) What is the probability that the component works perfectly well (i.e., neither displays strain nor fails the test)? c) What is the probability that the component ei- ther fails or shows strain in the test?
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