Answer:
0.8488 = 84.88% probability that it will be found by at least one test.
Step-by-step explanation:
Either there are no errors discovered, or there is at least one error discovered. The sum of the probabilities of these outcomes is 1.
Probabilities of no errors discovered:
If there is an error, these tests will discover it with probabilities 0.1, 0.2, 0.3, 0.4, and 0.5. So, of not discovering the errors, the probabilities are: 0.9, 0.8, 0.7, 0.6, 0.5.
The probabilities of none discovering the error is:
[tex]p = 0.9*0.8*0.7*0.6*0.5 = 0.1512[/tex]
(a) by at least one test
None: 0.1512
At least one: 1 - 0.1512 = 0.8488
0.8488 = 84.88% probability that it will be found by at least one test.
