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Ugo [173]
3 years ago
5

Multiply 5(−37). Simplify your answer.

Mathematics
2 answers:
crimeas [40]3 years ago
5 0
-2 1/7 is the correct answer.
vaieri [72.5K]3 years ago
3 0

Answer:

-2  1 / 7 ....

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Messages arrive to a computer server according to a Poisson distribution with a mean rate of 11 per hour. Determine the length o
Zarrin [17]

Answer:

The length of the interval during which no messages arrive is 90 seconds long.

Step-by-step explanation:

Let <em>X</em> = number of messages arriving on a computer server in an hour.

The mean rate of the arrival of messages is, <em>λ</em> = 11/ hour.

The random variable <em>X</em> follows a Poisson distribution with parameter <em>λ</em> = 11.

The probability mass function of <em>X</em> is:

P(X=x)=\frac{e^{-11}11^{x}}{x!};\ x=0,1,2,3....

It is provided that in <em>t</em> hours the probability of receiving 0 messages is,

P (X = 0) = 0.76

Compute the value of <em>t</em> as follows:

P(X=0)=\frac{e^{-11\times t}(11\times t)^{0}}{0!}\\0.76=e^{-11\times t}\\\ln(0.76)=-11\times t\\t=-\frac{\ln(0.76)}{11} \\=0.025\ hours\\\approx90\ seconds

Thus, the length of the interval during which no messages arrive is 90 seconds long.

6 0
3 years ago
Ms Amani and mr Blake each ordered supplies for their classroom
swat32

Could you please write the full question so we can correctly answer the question for you? Or upload a picture of the question, if you don’t want to type?

Hope this helps!

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3 years ago
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