What is the domain and range of the equation y = -(x - 3)2 + 9

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Ответ:

ellaemtagedeane

29.08.2021

Mathematics

0.4866 = 48.66% probability that the engine will fail before it is inspected

Step-by-step explanation:

Exponential distribution:

The exponential probability distribution, with mean m, is described by the following equation:

$f(x) = \mu e^{-\mu x}$

In which $\mu = \frac{1}{m}$ is the decay parameter.

The probability that x is lower or equal to a is given by:

$P(X \leq x) = \int\limits^a_0 {f(x)} \, dx$

Which has the following solution:

$P(X \leq x) = 1 - e^{-\mu x}$

The probability of finding a value higher than x is:

$P(X x) = 1 - P(X \leq x) = 1 - (1 - e^{-\mu x}) = e^{-\mu x}$

Exponentially distributed with mean 900 hours.

This means that $m = 900, \mu = \frac{1}{900}$

If the engine is inspected every 600 hours of flight time, what is the probability that the engine will fail before it is inspected?

This is $P(X \leq 600)$ , which is:

$P(X \leq 600) = 1 - e^{-\frac{600}{900}} = 0.4866$

0.4866 = 48.66% probability that the engine will fail before it is inspected

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