A swimming pool has two pumps to circulate water. Denote the event that the first pump...
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A swimming pool has two pumps to circulate water. Denote the event that the first pump fails by A and the event that the second pump fails by B. Experimental testing has shown that the probability of A is 0.02, and the probability of B given that A has occurred is 0.15; while the probability of B given that A has not occurred is 0.05. (a) Express the given information in probability notation. (b) Calculate P(B). (c) Hence, or otherwise, are the events A and B independent? Explain your answer without performing any further calculations. (d) Find P(A/B). (e) Without calculating it, what does P(ANB) mean in context? A swimming pool has two pumps to circulate water. Denote the event that the first pump fails by A and the event that the second pump fails by B. Experimental testing has shown that the probability of A is 0.02, and the probability of B given that A has occurred is 0.15; while the probability of B given that A has not occurred is 0.05. (a) Express the given information in probability notation. (b) Calculate P(B). (c) Hence, or otherwise, are the events A and B independent? Explain your answer without performing any further calculations. (d) Find P(A/B). (e) Without calculating it, what does P(ANB) mean in context?
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Answer aExpressthegiveninformationinprobabilitynotation Let A be the event that the first pump fails B be the event that the second pump fails Given information PA 002 the probability of the first pum... View the full answer
Related Book For
Probability And Statistics For Engineering And The Sciences
ISBN: 9781305251809
9th Edition
Authors: Jay L. Devore
Posted Date:
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