An automatic machine inserts mixed vegetables into a plastic bag. Past experience revealed that some packages were underweight and some were overweight,but most of them had satisfactory weight. What is the probability of selecting three packages that are overweight?
A)0.0000156
B)0.0004219
C)0.0000001
D)0.075

Question

An automatic machine inserts mixed vegetables into a plastic bag. Past experience revealed that some packages were underweight and some were overweight,but most of them had satisfactory weight.  What is the probability of selecting three packages that are overweight?
A)0.0000156 
B)0.0004219 
C)0.0000001 
D)0.075

Quizplus · Accepted Answer

Since the question does not provide any numerical values, we cannot calculate the exact probability. However, the question implies that most of the packages have satisfactory weight, which means that the probability of a package being overweight is relatively low. Without any further information, we can assume that the probability of selecting an overweight package is around 0.05 (just for example purpose).

Therefore, the probability of selecting three overweight packages can be calculated as follows:

P(overweight) = 0.05
P(3 packages overweight) = P(overweight) * P(overweight) * P(overweight) = 0.05^3 = 0.000125

The closest given answer to this value is B) 0.0004219. Therefore, B is the best choice.

An Automatic Machine Inserts Mixed Vegetables into a Plastic Bag