1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
denpristay [2]
3 years ago
15

The time it takes a printer to print a job is an Exponential random variable with the expectation of 12 seconds. You send a job

to the printer at 10:00 am, and it appears to be third in line. What is the probability that your job will be ready before 10:01
Mathematics
1 answer:
Mnenie [13.5K]3 years ago
8 0

Answer:

0.8753

Step-by-step explanation:

Calculate the probability that your job will be ready before 10.01 am

Here, the parameter of an Exponential is E(X)=12

Now, to calculate the third job probability, it follows Poisson Distribution with parameter 1/λ

Therefore, E(Y) =1/12

Here, The third job will be ready for 10:01 AM, then E(Y)=61/12

Therefore, the required probability is

P(X\geq 3)=1-P(X

=1- POISSON(3,5,true)

=1-0.1246

=0.8753

You might be interested in
Helppppppppppp meeeeeeeeeeeeeeeee give bralienst
Eduardwww [97]

Answer:

Point C

Step-by-step explanation:

Point c is the only point on the number line which is in between 2 and 3.

<em>Thus,</em>

<em>point c is the answer.</em>

<em>Hope this helps :)</em>

4 0
3 years ago
You and your friend are selling subscriptions for a fundraiser. After w weeks you have sold (3w+4) subscrions and your friend ha
soldier1979 [14.2K]
3w + 4 - 5w + 1

-2w + 5
6 0
3 years ago
(x^2y+e^x)dx-x^2dy=0
klio [65]

It looks like the differential equation is

\left(x^2y + e^x\right) \,\mathrm dx - x^2\,\mathrm dy = 0

Check for exactness:

\dfrac{\partial\left(x^2y+e^x\right)}{\partial y} = x^2 \\\\ \dfrac{\partial\left(-x^2\right)}{\partial x} = -2x

As is, the DE is not exact, so let's try to find an integrating factor <em>µ(x, y)</em> such that

\mu\left(x^2y + e^x\right) \,\mathrm dx - \mu x^2\,\mathrm dy = 0

*is* exact. If this modified DE is exact, then

\dfrac{\partial\left(\mu\left(x^2y+e^x\right)\right)}{\partial y} = \dfrac{\partial\left(-\mu x^2\right)}{\partial x}

We have

\dfrac{\partial\left(\mu\left(x^2y+e^x\right)\right)}{\partial y} = \left(x^2y+e^x\right)\dfrac{\partial\mu}{\partial y} + x^2\mu \\\\ \dfrac{\partial\left(-\mu x^2\right)}{\partial x} = -x^2\dfrac{\partial\mu}{\partial x} - 2x\mu \\\\ \implies \left(x^2y+e^x\right)\dfrac{\partial\mu}{\partial y} + x^2\mu = -x^2\dfrac{\partial\mu}{\partial x} - 2x\mu

Notice that if we let <em>µ(x, y)</em> = <em>µ(x)</em> be independent of <em>y</em>, then <em>∂µ/∂y</em> = 0 and we can solve for <em>µ</em> :

x^2\mu = -x^2\dfrac{\mathrm d\mu}{\mathrm dx} - 2x\mu \\\\ (x^2+2x)\mu = -x^2\dfrac{\mathrm d\mu}{\mathrm dx} \\\\ \dfrac{\mathrm d\mu}{\mu} = -\dfrac{x^2+2x}{x^2}\,\mathrm dx \\\\ \dfrac{\mathrm d\mu}{\mu} = \left(-1-\dfrac2x\right)\,\mathrm dx \\\\ \implies \ln|\mu| = -x - 2\ln|x| \\\\ \implies \mu = e^{-x-2\ln|x|} = \dfrac{e^{-x}}{x^2}

The modified DE,

\left(e^{-x}y + \dfrac1{x^2}\right) \,\mathrm dx - e^{-x}\,\mathrm dy = 0

is now exact:

\dfrac{\partial\left(e^{-x}y+\frac1{x^2}\right)}{\partial y} = e^{-x} \\\\ \dfrac{\partial\left(-e^{-x}\right)}{\partial x} = e^{-x}

So we look for a solution of the form <em>F(x, y)</em> = <em>C</em>. This solution is such that

\dfrac{\partial F}{\partial x} = e^{-x}y + \dfrac1{x^2} \\\\ \dfrac{\partial F}{\partial y} = e^{-x}

Integrate both sides of the first condition with respect to <em>x</em> :

F(x,y) = -e^{-x}y - \dfrac1x + g(y)

Differentiate both sides of this with respect to <em>y</em> :

\dfrac{\partial F}{\partial y} = -e^{-x}+\dfrac{\mathrm dg}{\mathrm dy} = e^{-x} \\\\ \implies \dfrac{\mathrm dg}{\mathrm dy} = 0 \implies g(y) = C

Then the general solution to the DE is

F(x,y) = \boxed{-e^{-x}y-\dfrac1x = C}

5 0
3 years ago
Julie bought a drink for $2.99, two bags of chips for $1.29 each, and some gasoline at a convenience store. The price of gasolin
mylen [45]
2.59x = 2.99+1.29
add and solve for x
7 0
3 years ago
What is 340 decreased by 35%?
masha68 [24]
221. 119 is 35% of 340. 340-119=221
hope it helped
7 0
3 years ago
Read 2 more answers
Other questions:
  • 2x-10/4=3x<br> −10<br> −1<br> 2<br> 11
    14·1 answer
  • Why should you look out for a pig that knows karate?
    12·2 answers
  • How to solve square root of 27-2x-6=-3
    5·2 answers
  • A tree casts a shadow of 26 meters when the angle of elevation of the sun is 24°. find the height of the tree to the nearest me
    5·1 answer
  • Quadratic Functions Put the equationy = x^2 + 14a + 40 into the form y = (x - h )^2 + k: Answer: y Preview Get help: Video Poins
    12·1 answer
  • Can someone help me with this please
    12·1 answer
  • A salesman sells $2,500 worth of clothing. If his commission rate is 7%, what is the dollar amount of his commission?
    11·1 answer
  • Convert 50 degrees F to K.<br> [?]K
    14·2 answers
  • : Cho tứ diện ABCD có AB, AC, AD đôi một vuông góc và AB = 6; AC = 7; AD = 4. Gọi M, N, P lần
    6·1 answer
  • HELP ME, IT'S AN EMERGENCY
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!