Probability

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 probability distribution seen below:

1. What is the expected number of breakdowns in any given day?
2. What is the variance for this distribution?
3. What is the probability that there will be at least 2 breakdowns in a day?

Number of Break Downs          Probability

                   0                                      0.4

                   1                                      0.3

                   2                                      0.2

                   3                                      0.1

            more than 3                          0.0

Your response should be at least 200 words in length.