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2 years ago

6

Someone should really help me with this question

1 answer:

AnnyKZ [126]2 years ago

8 0

I believe the answer would be A

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An exponential random variable has a standard deviation of 16. Calculate The probability that it takes on a value < 11. Use 3

antiseptic1488 [7]

Answer:

$P(X$

And using the cdf we got:

$P(X$

Step-by-step explanation:

Previous concepts

The exponential distribution is "the probability distribution of the time between events in a Poisson process (a process in which events occur continuously and independently at a constant average rate). It is a particular case of the gamma distribution". The probability density function is given by:

$P(X=x)=\lambda e^{-\lambda x}, x>0$

And 0 for other case. Let X the random variable that represent the random variable of interest and we know that the distribution is given by:

$X \sim Exp(\lambda)$

We know the variance on this case given by :

$Var(X) = \frac{1}{\lambda^2}$

So then the deviation is given by:

$Sd(X) = \frac{1}{\sqrt{\lambda}}$

And if we solve for $\lambda$ we got:

$\lambda = (\frac{1}{16})^2 = \frac{1}{256}$

The cumulative distribution function for the exponential distribution is given by:

$F(x) = 1- e^{-\lambda x}$

Solution to the problem

And for this case we want to find this probability:

$P(X$

And using the cdf we got:

$P(X$

5 0

3 years ago

Suppose that y varies directly with x. Given x=4 when y=20.<br> Find y when x = 3

scoray [572]

Answer:

y = 15

Step-by-step explanation:

Given: y varies directly with x, x=4 when y=20

To find: y when x = 3

Solution:

As y varies directly as x, it means that as x increases, y also increases by the same factor.

As y varies directly with x,

$y=kx$

Here, k is a constant

As x = 4 when y = 20,

$20=4k\\k=\frac{20}{4}=5\\\Rightarrow y=5x$

Put x = 3

$y= 5(3) = 15$

4 0

2 years ago

Points frreeeeeeeeeeeee :)

Gala2k [10]

Answer:

thx m8

Step-by-step explanation:

:)

7 0

2 years ago

Read 2 more answers

Through (2,2) slope 3/2

Mrac [35]

Answer:

no info given :/

Step-by-step explanation:

...... ....

4 0

2 years ago

Abigail was skateboarding home when the wheel axle of her skateboard broke. She had already traveled two thirds of the way home

OverLord2011 [107]

Answer:

I think that her taking the skateboard is 4 times as fast as her walking.

Step-by-step explanation:

I got this because she traveled twice as long and twice as fast on the skateboard, so if you multiply it together, there u have it.

4 0

3 years ago