An automatic machine inserts mixed vegetables into a plastic bag. Past experience revealed that some packages were underweight a

Question

3 years ago

11

An automatic machine inserts mixed vegetables into a plastic bag. Past experience revealed that some packages were underweight a

nd 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?

Mathematics

1 answer:

Orlov [11] · Answer 1 · 2022-07-23T03:17:51+03:00

Answer: 0.729

Step-by-step 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