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rewona [7]
3 years ago
7

Here is 50 points:) have a great day

Mathematics
2 answers:
Orlov [11]3 years ago
6 0

Answer:

Thanks have a good day and good luck!!!!!

Stella [2.4K]3 years ago
4 0

Answer:

tysm

Step-by-step explanation:

you're the best <3

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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]

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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

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6 0
3 years ago
What element(s) is/are necessary for a geometric proof?
Nonamiya [84]
<span>a series of logical statement</span>
7 0
3 years ago
Read 2 more answers
2/3 of the product of 3/8 and 16
dsp73
Well in order to find 2/3 of the product of those two numbers
first we gotta figure out their product:)
lets do that first 
 3                                                   3        16
----  x  16  or lets write it like this  ----  x  -----
 8                                                   8         1

and when you multiply fractions you just multiply across literally!!
ill show you
 
 3      16   =  3 x 16 = 48
---  x -----   
 8       1    =  8 x 1 = 8 

so now we have our new fraction!
 48 
-----
  8 
now we also know that this fraction also equals 6 
so if we are trying to figure out 2/3s of 6 we would have to multiply them
but first lets try to change 2/3s to a decimal or in this case 0.6666666667
soooo now we multiply that by 6 
0.6666666667 x 6 = 4 
so that means that 2/3 of 6 is 4 
hey! we have our answer:)
<span>answer? 4
</span>also dont forget to 
MARK ME BRAINLIEST:D
3 0
3 years ago
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