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. Weight % of Total Underweight 2.5 Satisfactory 90.0 Overweight 7.5 What is the probability of selecting three packages that are satisfactory?

Answer 1

Answer: 0.729

Explanation:

Given : The weight percentage of satisfactory packages = 90%

i.e. The probability of selecting a satisfactory package = 0.90

Since selecting each package is an independent event.

Thus, the probability of selecting three packages that are satisfactory will be:_

`(0.9)^3=0.729`

Hence, the probability of selecting three packages that are satisfactory = 0.729