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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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Use intercepts to graph the linear equation -2x+7y=-21 Question 2
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The black dot represents the y-intercept on the attached graph. It is very clear at y = 0, x = -3.

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The red dot represents the x-intercept on the attached graph. It is very clear at x = 0, y = 10.5

Step-by-step explanation:

Given the linear equation

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Determining the y-intercept

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Therefore, the point representing the y-intercept is: (0, -3)

The black dot represents the y-intercept on the attached graph. It is very clear at y = 0, x = -3.

Determining the x-intercept

We know that the value of x-intercept can be determined by setting y = 0, and determining the corresponding value of x.

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Therefore, the point representing the x-intercept is: (10.5, 0)

The graph of the linear equation containing the y-intercept (0, -3) and x-intercept (10.5, 0) is shown and attached below.

The red dot represents the x-intercept on the attached graph. It is very clear at x = 0, y = 10.5

Please check the attached graph.

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