2.5. A computer program is tested by 3 independent tests. When there is an error, these tests will discover it with probabilities 0.2, 0.3, and 0.5, respectively. Suppose that the program contains an error. What is the probability that it will be found by at least one test?

A First Course in Probability (10th Edition)
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ISBN:9780134753119
Author:Sheldon Ross
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Chapter1: Combinatorial Analysis
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Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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2.5. A computer program is tested by 3 independent tests. When there is an error, these tests will discover it with probabilities
0.2, 0.3, and 0.5, respectively. Suppose that the program contains an error. What is the probability that it will be found by at
least one test?
6
2.7. A system may become infected by some spyware through the internet or e-mail. Seventy percent of the time the spyware
arrives via the internet, thirty percent of the time via e-mail. If it enters via the internet, the system detects it immediately with
probability 0.6. If via e-mail, it is detected with probability 0.8. What percentage of times is this spyware detected?
Transcribed Image Text:5 2.5. A computer program is tested by 3 independent tests. When there is an error, these tests will discover it with probabilities 0.2, 0.3, and 0.5, respectively. Suppose that the program contains an error. What is the probability that it will be found by at least one test? 6 2.7. A system may become infected by some spyware through the internet or e-mail. Seventy percent of the time the spyware arrives via the internet, thirty percent of the time via e-mail. If it enters via the internet, the system detects it immediately with probability 0.6. If via e-mail, it is detected with probability 0.8. What percentage of times is this spyware detected?
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