The QMplus-gremlins are mischievous creatures that cause computer problems. After careful research you observe that the number of gremlins active each day is a random variable with Bin(3, 0.5) distribution. If no gremlins are active, the probability of QMplus failure is 0.15; if one gremlin is active the probability of QMplus failure is 0.3; if two or more gremlins are active the probability of QMplus failure is 0.5. You conclude that the total probability of QMplus failure on a given day is (to two decimal places). Assuming there is a failure, the probability no gremlins are active is (again to two decimal places).

A First Course in Probability (10th Edition)
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Chapter1: Combinatorial Analysis
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The QMplus-gremlins are mischievous creatures that cause computer problems. After careful research you observe that the number of
gremlins active each day is a random variable with Bin(3, 0.5) distribution. If no gremlins are active, the probability of QMplus failure
is 0.15; if one gremlin is active the probability of QMplus failure is 0.3; if two or more gremlins are active the probability of QMplus
failure is 0.5. You conclude that the total probability of QMplus failure on a given day is
(to two decimal places). Assuming
there is a failure, the probability no gremlins are active is
(again to two decimal places).
Transcribed Image Text:The QMplus-gremlins are mischievous creatures that cause computer problems. After careful research you observe that the number of gremlins active each day is a random variable with Bin(3, 0.5) distribution. If no gremlins are active, the probability of QMplus failure is 0.15; if one gremlin is active the probability of QMplus failure is 0.3; if two or more gremlins are active the probability of QMplus failure is 0.5. You conclude that the total probability of QMplus failure on a given day is (to two decimal places). Assuming there is a failure, the probability no gremlins are active is (again to two decimal places).
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