ABC Manufacturing has six machines which perform the particular task. Breakdowns happen often for the machine. Past records indicate that number of breakdowns which happen each day is explained by the given probability distribution:
Number of Breakdowns Probability
0 0.4
1 0.3
2 0.2
3 0.1
More than 3 0.0
i) Find expected number of breakdowns in any given day?
ii) Compute variance for the distribution?
iii) Compute probability that there will be at least two breakdowns in a day?