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4 years ago

What is n(x)=-1-x+4 when x=-2,0,5

Mathematics

1 answer:

sdas [7]4 years ago

6 0

Answer:

1.) n = - 5/2

2.) No solution

3.) n = - 2/5

Step-by-step explanation:

1.) n(- 2) = - 1 - (- 2) + 4

- 2n = - 1 + 2 + 4

- 2n = 5

n = - 5/2

2.) n(0) = - 1 - (0) + 4

0 = - 1 - 0 + 4

0 = 3

No solution

3.) n(5) = - 1 - (5) + 4

5n = - 1 - 5 + 4

5n = - 2

n = - 2/5

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mamaluj [8]

Answer:

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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:

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

In this question:

$m = 0.5, \mu = \frac{1}{0.5} = 2$

What is the probability that a randomly selected person in this city will have a commute time between 0.4 and 1 hours?

$P(0.4 \leq X \leq 1) = P(X \leq 1) - P(X \leq 0.4)$

In which

$P(X \leq 1) = 1 - e^{-2} = 0.8647$

$P(X \leq 0.4) = 1 - e^{-2*0.4} = 0.5507$

$P(0.4 \leq X \leq 1) = P(X \leq 1) - P(X \leq 0.4) = 0.8647 - 0.5507 = 0.314$

0.314 = 31.4% probability that a randomly selected person in this city will have a commute time between 0.4 and 1 hours

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