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sveticcg [70]
3 years ago
12

Please help with mathimatics

Mathematics
1 answer:
Burka [1]3 years ago
4 0
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Suppose the number of hits a webpage receives follows a Poisson distribution. The average number of hits per minute is 2.4. What
REY [17]

Answer:

The probability that the page will get at least one hit during any given minute is 0.9093.

Step-by-step explanation:

Let <em>X</em> = number of hits a web page receives per minute.

The random variable <em>X</em> follows a Poisson distribution with parameter,

<em>λ</em> = 2.4.

The probability function of a Poisson distribution is:

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

Compute the probability that the page will get at least one hit during any given minute as follows:

P (X ≥ 1) = 1 - P (X < 1)

             = 1 - P (X = 0)

             =1-\frac{e^{-2.4}(2.4)^{0}}{0!}\\=1-\frac{0.09072\times1}{1} \\=1-0.09072\\=0.90928\\\approx0.9093

Thus, the probability that the page will get at least one hit during any given minute is 0.9093.

6 0
3 years ago
What is this expression
Hunter-Best [27]
Do you want to know what it's called or??
For me to solve it?
6 0
3 years ago
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Solve for y: 1 + 7y = 5x -2
Setler79 [48]

Answer:

5x/7 - 3/7

Step-by-step explanation:

4 0
3 years ago
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196 divided by 3.5 show your work
Ilya [14]

Answer:

56

Step-by-step explanation:

Sorry for not showing my work im a mental worker

196/3.5= 56

5 0
3 years ago
What is the inverse of the function?<br> f(x) = 1/3x-5
OlgaM077 [116]

Answer:

        -1

       f   (x) = -3(x + 5)

Step-by-step explanation:

1)  in f(x) = 1/3x-5, replace f(x)= with y= as follows:  y = (1/3)x - 5

2) interchange x and y, obtaining:  x = (1/3)y - 5

3) solve this result for y:  (1/3)y = -x - 5, or -(x + 5).  Next, multiply both sides by                        3 to eliminate the fraction (1/3):  y = -3(x + 5)

4)  replace y with the symbol for "inverse of f(x);

        -1

       f   (x) = -3(x + 5)

5 0
3 years ago
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