SOLUTION: A factory has seven machines- four of model A and three of model B. At any given moment, there is an 80% chance that a model A machine will be in use. Similarly, model B is used 60

Algebra ->  Probability-and-statistics -> SOLUTION: A factory has seven machines- four of model A and three of model B. At any given moment, there is an 80% chance that a model A machine will be in use. Similarly, model B is used 60      Log On


   



Question 1136995: A factory has seven machines- four of model A and three of model B. At any given moment, there is an 80% chance that a model A machine will be in use. Similarly, model B is used 60 % of the time. If the supervisor walks into the factory at a randomly selected time, what is the probability that two machines of model A and one of model B will be in use?
Answer by ikleyn(52810) About Me  (Show Source):
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A factory has seven machines- four of model A and three of model B. At any given moment, there is an 80% chance that a model A machine
will be in use. Similarly, model B is used 60 % of the time. If the supervisor walks into the factory at a randomly selected time,
what is the probability that highlight%28exactly%29 two machines of model A and highlight%28exactly%29 one of model B will be in use?
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P = C%5B4%5D%5E2%2A0.8%5E2%2A%281-0.8%29%5E2 + C%5B3%5D%5E2%2A0.6%2A%281-0.6%29%5E2 = 6%2A0.8%5E2%2A0.2%5E2+%2B+3%2A0.6%2A0.4%5E2 = 0.4416 = 44.16%.