contestada

A computer program is tested by 5 independent tests. If there is an error, these tests will discover it with probabilities 0. 1, 0. 2, 0. 3, 0. 4, and 0. 5, respectively. Suppose that the program contains an error. What is the probability that it will be found.

Respuesta :

Using complementary probabilities, it is found that there is a 0.8488 = 84.88% probability that it will be found.

What are complementary events?

When two events are complementary, the sum of their probabilities is 1.

In this problem, the probability of each test not discovering the error is: 0.9, 0.8, 0.7, 0.6, 0.5.

Hence, since the events are independent, we multiply the probabilities, and find that the probability that no test discovers the error is:

pN = (0.9)(0.8)(0.7)(0.6)(0.5) = 0.1512

No test discovering the error and at least one, which means that the error is found, are complementary events, hence:

pF = 1 - 0.1512 = 0.8488

0.8488 = 84.88% probability that it will be found.

You can learn more about complementary probabilities at https://brainly.com/question/25578621