A data scientist studying a manufacturing process classifies each item produced by the process as either Poor, Acceptable, or Excellent. Assume that the classes of different items are independent of each other and that each item falls into the classes according to the following probabilities:. Poor Acceptable Excellent
0.25 0.6 0.15
The data scientist receives three items produced by the manufacturing process.
Find the chance that:.
a) all of items are Acceptable
b) none of the items is Acceptable
c) at least one of the items is Excellent
d) not all of the items are Excellent
e) there is one item of each class