The probability of a machine being accidentally overfilled on a given day is 0.05. If the machine is overfilled there is a 0.8 probability that it will break down dur ing the course of the day. If the machine is not overfilled the probability of a breakdown during the day is only 0.1. Yesterday the machine broke down. What is the probability that it had been accidentally overfilled

0.2963 or 29.63%

Step-by-step explanation:

There are two possibilities for a machine breaking down:

1 - Overfilled and broke down (O&B)

2- Not overfilled and broke down (N&B)

The probabilities for each outcome are as follows;

Given that the machine broke down, the probability that it was overfilled is:

The probability is 0.2963 or 29.63%.

answer: just subtact the units and then add the non negative : happy to

step-by-step explanation: