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2 years ago

8

Smallest to largest 0.8 30% 3/5

1 answer:

rjkz [21]2 years ago

6 0

Change everything to the same thing. See like how 30% is a percent you can move the decimal of 0.8 to make it a percent like 80%, then for 3/5 you divide 3 by 5 and you get 0.6 then you can move the decimal to get 60%. So all you have to do now is order the percentages from smallest to largest. Like so 30%, 60%, 80% which then ends up as 30%, 3/5, 0.8.

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3 years ago

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2 years ago

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The number of messages arriving at a multiplexer is a Poisson random variable with mean 15 messages/second. Use the central limi

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Answer:

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Step-by-step explanation:

We are given the following information in the question:

The number of messages arriving at a multiplexer is a Poisson random variable with mean 15 messages/second.

Let X be the number of messages arriving at a multiplexer.

Mean = 15

For poison distribution,

Mean = Variance = 15

$\text{Standard Deviation} = \sqrt{\text{Variance}} = \sqrt{15} = 3.872$

From central limit theorem, we have:

$z = \displaystyle\frac{x-n\mu}{\sigma\sqrt{n}}$

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$P( x > 950) = P( z > \displaystyle\frac{950 - (60)(15)}{\sqrt{(15)(60)}}) = P(z > 1.667)$

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Calculation the value from standard normal z table, we have,

$P(x > 950) = 1 - 0.952 = 0.048$

0.048 is the probability that more than 950 message arrive in one minute.

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2 years ago