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2 years ago

Suppose that the log-ons to a computer network follow a Poisson process with an average of 3 counts per minute.

Mathematics

1 answer:

Lubov Fominskaja [6]2 years ago

8 0

Answer:

a) 20 second

b) 20 second

c) 1 minute

Step-by-step explanation:

Let X be the exponential random variable arising from the Poisson process with the rate λ = 3 counts per minute. Its cdf is then given by:

F(x) = I - e^-3x, x >= 0

Calculate the mean and the standard deviation of the random variable X as follows:

Е(X) =I/λ =I/3=20 second

std (x) =√1/λ^2=1/3=20 second

For the part c), write down the equation:

0.95 = P(X < x) = F(x) = I - e^-3x

and solve the equation for x to obtain:

x = -1/3 In 0.05 = 0.9985 ≅ 1 minute

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Copy the problems onto your paper, mark the givens and prove the statements asked. Given: ∠BTO ≅ ∠IWE WI ≅ BT , OW ≅ ET Prove: △

Varvara68 [4.7K]

Answer:

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Step-by-step explanation:

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2 years ago

Rosa says that to find how many tortillas she can fill, she first finds find how many 1/3 cups are in 8 cups. What else must Ros

Kamila [148]

She can divide the 8 cups by the 1/3 cups

Step-by-step explanation:

The next step will be to divide 8 cups by 1/3 cups

This will be:

= 8÷1/3

=8*3/1-------------dividing by a fraction is the same as multiplying by its reciprocal

= 24

There are 24 1/3cups in 8 cups.

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Division brainly.com/question/1060802

Keywords : tortillas

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3 years ago

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Sliva [168]

Answer:

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