ABC Manufacturing has 8 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: 

 

(a) What is the expected number of breakdowns in any given day?

(b) What is the variance and standard deviation for this distribution?

(c) What is the probability that there will be at least 3 breakdowns in a day?

Number of Probability Breakdowns 0.075 1 0.100 2 0.250 3 0.200 4 0.175 0.200 Total