Ask question

Ask question

All categories

3 years ago

13

Suppose that appearances of a foe to battle (that is, a random encounter) in a role-playing game occur according to a Poisson pr

ocess, and the average rate equals one appearance per two minutes. Measured in minutes, the time T until the next encounter is Exponential with what rate parameter?

1 answer:

Dimas [21]3 years ago

5 0

Answer:

Rate parameter of $\mu = 0.5$

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.

One appearance per two minutes.

This means that $m = 2$

Measured in minutes, the time T until the next encounter is Exponential with what rate parameter?

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

So

Rate parameter of $\mu = 0.5$

You might be interested in

The table below represents a linear function f(x) and the equation represents a function g(x):

Elza [17]

Answer:

(a) The slope of f(x) is greater than the slope of g(x)

(b) f(x) has a greater y intercept

Step-by-step explanation:

Given

$\begin{array}{cc}x & {f(x)} & -1&-9&0&-1&1&7 \ \end{array}$

$g(x) = 3x - 2$

Solving (a): Compare the slopes

The slope (m) of f(x) is calculated as;

$m = \frac{f(x_2) - f(x_1)}{x_2 - x_1}$

This gives:

$m = \frac{f(0) - f(1)}{0 - 1}$

$m = \frac{f(0) - f(1)}{- 1}$

Substitute values for f(0) and f(1)

$m = \frac{-1 - 7}{- 1}$

$m = \frac{-8}{- 1}$

$m = 8$

The slope of g(x) can be gotten using the following comparison

$g(x) = mx + b$

$m \to slope$

So:

$g(x) = 3x -2$

$m = 3$

$m_{f(x)} > m_{g(x)}$

Solving (b): Compare the y intercept

y intercept is when $x = 0$

From the table of f(x)

$f(0) = -1$

From the equation of g(x)

$g(x) = 3x -2$

$g(0) = 3*0-2$

$g(0) =-2$

<em></em> $f(0) > g(0)$ <em></em>

6 0

3 years ago

What is science ? or what is math

german

Answer:

Science is a set of tools people used to build robust predictions. The tools are called The Scientific Method. (Some people prefer to say that Science creates explanations. That's fine. They are explanations in the form of predictions.)

The first step is to come up with a falsifiable hypothesis. That's a claim which can, in theory, be proven wrong. The next step is to try to prove it wrong via careful observation and experimentation.

If you manage to falsify the hypothesis or are unable to falsify it, you will be able to use it to make predictions.

I would define mathematics as the study of structure divorced from context.

In mathematics, we study various structures: numbers, groups, geometric objects, etc. We study their patterns and figure out how they work and interconnect. I would make the argument that anything existing in the universe and anything that can be cooked up by the human mind that has some sort of structure to it can be studied mathematically.

Of course, what one might argue is that disciplines like physics, chemistry, and biology do the same thing: they search for the physical patterns and structures that exist out in the world.

Step-by-step explanation:

please give me brainliest

7 0

3 years ago

What is 1+1-15x15................................

Stels [109]

Answer:

223

Step-by-step explanation:

5 0

3 years ago

Read 2 more answers

Starting from the same place money goes 3.5 km/hr towarde north and Bonny goes 8.5 km/hr towards south. what will be the distanc

Vesnalui [34]

Answer:D=rt

Step-by-step explanation:

6 0

3 years ago

If x= sin theta then x/√1-x^2 is

SCORPION-xisa [38]

Well,

Given that $x=\sin(\theta)$ ,

We can rewrite the equation like,

$\dfrac{\sin(\theta)}{\sqrt{1-\sin(\theta)^2}}$

Now use, $\cos(\theta)^2+\sin(\theta)^2=1$ which implies that $1-\sin(\theta)^2=\cos(\theta)^2$

That means that,

$\dfrac{\sin(\theta)}{\sqrt{1-\sin(\theta)^2}}\Longleftrightarrow\dfrac{\sin(\theta)}{\sqrt{\cos(\theta)^2}}$

By def $\sqrt{x^2}=x$ therefore $\sqrt{\cos(\theta)^2}=\cos(\theta)$

So the fraction now looks like,

$\dfrac{\sin(\theta)}{\cos(\theta)}$

Which is equal to the identity,

$\boxed{\tan(\theta)}=\dfrac{\sin(\theta)}{\cos(\theta)}$

Hope this helps.

r3t40

6 0

3 years ago