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MariettaO [177]
3 years ago
15

Assume that during each second, a job arrives at a webserver with probability 0.03. Use the Poisson distribution to estimate the

probability that at least one job will be missed if the server goes down for 57 seconds. Round to at least 6 decimal places, or enter an exact answer using e and exponents.
Mathematics
1 answer:
Savatey [412]3 years ago
6 0

Answer:

The probability that at lest one job will be missed in 57 second is=1- e^{-1.71} =0.819134

Step-by-step explanation:

Poisson distribution:

A discrete random variable X having the enumerable set {0,1,2,....} as the spectrum, is said to be Poisson distribution.

P(X=x)=\frac{e^{-\lambda t}({-\lambda t})^x}{x!}  for x=0,1,2...

λ is the average per unit time

Given that, a job arrives at a web server with the probability 0.03.

Here λ=0.03, t=57 second.

The probability that at lest one job will be missed in 57 second is

=P(X≥1)

=1- P(X<1)

=1- P(X=0)

=1-\frac{e^{-1.71}(1.71)^0}{0!}

=1- e^{-1.71}

=0.819134

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A gallon of gasoline cost 2.96. Your car has a 25 gallon gas tank and can travel 28.8 miles on each gallon of gasoline. How much
geniusboy [140]
<h2>Greetings!</h2>

Answer:

It would cost 47.36

Step-by-step explanation:

First, you need to find out how many gallons are needed to fill the tank. To do this, simply multiply 25 by the fraction that is how much is already in there:

25 x \frac{3}{8} = 9.375

So that means that there is 9.375 gallons already in the tank. To find the amount needed to fill the tank:

25 - 9.375 = 15.625

So 15.625 gallons are needed, rounded up to 16 gallons because you cannot get a decimal value of gallons.

That means that 16 x the price = the amount to fill the tank:

16 x 2.96 = 47.36

So it would cost 47.36 to fill the tank!


<h2>Hope this helps!</h2>
4 0
4 years ago
Can someone please please answer this and explain it? my math teacher didn’t :( will give brainliest points for explanation!!! (
AnnZ [28]

Answer:

QR = 1

Step-by-step explanation:

PR = PQ + QR

PR = x + 19

PQ = 9

So now put what you know in the equation above.

PR = 9 + 2x + 19

PR also equals x + 19

so

x + 19 = 9 + 2x + 19

x + 19 = 2x + 28

19 - 28 + x = 2x

-9 + x = 2x

-9 = 2x - x

-9 = x

===================

QR = 2x + 19

QR = 2*-9 + 19

QR = -18 + 19

QR = 1

This really is kind of a nasty question. You don't expect to get a minus number of x.

8 0
3 years ago
Classify the following triangle. Check all that apply.
Alekssandra [29.7K]
The triangle is obtuse
8 0
3 years ago
Write 2 numbers that round to 480 when rounded to the nearest 10.
OLga [1]

Step-by-step explanation:

First, 480 rounded to the nearest ten is:

480

second 480 rounded to the nearest ten is 481

6 0
3 years ago
If an airplanes speed is 850mi/h what is it’s speed in m/s
Blizzard [7]

we are given

speed is 850mi/h

we know that

1 mile =1609.34 metre

1 hour = 3600 second

now, we can replace 1mi and 1hour

850mi/h=850*\frac{1609.34}{3600} m/s

now, we can solve it

379.98306

850mi/h=379.98306 m/s...........Answer

7 0
3 years ago
Read 2 more answers
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