ABC Manufacturing has 6 machines that perform a particular task. Breakdowns occur frequently for this machine. Past records indicate that the number of breakdowns that occur each day is described by the following probability distribution:
Number of Breakdowns Probability
0 0.4
1 0.3
2 0.2
3 0.1
More than 3 0.0
(a) What is the expected number of breakdowns in any given day?
(b) What is the variance for this distribution?
(c) What is the probability that there will be at least 2 breakdowns in a day?
(a) expected value = 1.0
(b) variance = 1(.4 ) + 0(.3 ) + 1(.2 ) + 4(.1 ) = 1.0
(c) P(2 or more) = 0.2 + 0.1 = 0.3
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