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evablogger [386]
3 years ago
9

The AAA system contains 3 independent components in parallel, each with probability of failure 0.4. Find the expected number of

systems inspected until the first failed unit.
Mathematics
1 answer:
Gre4nikov [31]3 years ago
8 0

Answer:

Step-by-step explanation:

For each component, there are only two possible outcomes. Either it fails, or it does not. The components are independent. We want to know how many outcomes until r failures. The expected value is given by

E = \frac{r}{p}

In which r is the number of failures we want and p is the probability of a failure.

In this problem, we have that:

r = 1 because we want the first failed unit.

p = 0.4[\tex]So[tex]E = \frac{r}{p} = \frac{1}{0.4} = 2.5

The expected number of systems inspected until the first failed unit is 2.5

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