You are working in a foreign country and to finish a job on

You are working in a foreign country, and to finish a job on time, you need the FedEx delivery to arrive, and you need the internet to work. The performance of the FedEx delivery and the internet are independent. The probability that the FedEx delivery does not arrive is 0.02, and the probability that the internet doesn\'t work is 0.29.

1)What is the probability that you cannot finish the job?

2)If the performance of the internet and FedEx were not statistically independent, which of the following would be true?

-The probability of not completing the job would be lower

-The probability of not completing the job would be the same

-There would not be enough information to calculate the probability of not completing the job.

Solution

P(fedex does not arrive) = 0.02

So, P(fedex arrives) = 0.98

P(internet does not work) = 0.29

So, P(internet works) = 0.71

a)

P(job cannot be finished) = 1 - P(fedex arrives)*P(internet works)

1 - 0.98 * 0.71

0.3042 ---> first answer

b) The probability of not completing the job would be lower