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soldier1979 [14.2K]
3 years ago
15

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

mean time between counts (in minutes)? (Round yours answers to 3 decimal places.) (b) What is the standard deviation between counts (in minutes)? (Round yours answers to 3 decimal places.) (c) If it is an average of 3 counts per minute, find the value of such that . (Round yours answers to 4 decimal places.)
Mathematics
1 answer:
vampirchik [111]3 years ago
6 0

Answer: a) 0.333, b) 0.333 and c) 0.9986.

Step-by-step explanation:

Since we have given that

Average = 3 counts per minute = λ

a) What is the mean time between counts ?

Since it follows a Poisson Process, So,

E[x]=\dfrac{1}{\lambda}=\dfrac{1}{3}=0.333

(b) What is the standard deviation between counts ?

\sigma=\dfrac{1}{3}=0.333

(c) If it is an average of 3 counts per minute, find the value of such that .

If the average = 3 counts per minute.

Then, P(X

Hence, a) 0.333, b) 0.333 and c) 0.9986.

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Doreen bought a cell phone for x dollars. One year later the value of the phone was 0.75x. Which expression is another way to de
OLEGan [10]

3/4x

0.75=75/100     =3/4

   75:25=3

100:25=4

6 0
3 years ago
From a survey of 60 students attending a university, it was found that 9 were living off campus, 36 were undergraduates, and 3 w
lana66690 [7]
I think the question has to do with the number of students who are attending the university but is neither an undergraduate nor living off-campus. To help us solve this problem, we use the Venn diagram as shown in the picture. The intersection of the 2 circles would be 3 students. The students in the 'students living off-campus' circle would be 9 - 2 = 6, while the undergraduate students would be 36-3 = 33. The total number of students inside all the circles and outside the circles should sum up to 60 students.

6 + 3 + 33 + x = 60
x = 60 - 6 - 3 - 3
x = 18 students

Therefore, there are 18 students who are neither an undergraduate nor living off-campus

8 0
3 years ago
A formal power series over R is a formal infinite sum f = X[infinity] n=0 anxn, where the coefficients an ∈ R. We add power seri
Ksivusya [100]

Answer:

Check the explanation

Step-by-step explanation:

where the letter D is the diagonal matrix with diagonal entries λ1,…,λn. Now let's assume V is invertible, that is,  this particular given eigenvectors are linearly independent, you get M=VDV−1.

Kindly check the attached image below to see the step by step explanation to the question above.

5 0
3 years ago
F(1)=-12, f(n)=2f(n-1) <br> find first 4 terms
amid [387]
<h3>First four terms are:   -12, -24, -48, -96</h3>

============================================

Explanation:

The notation f(1) = -12 tells us that the first term is -12.

The equation f(n) = 2*f(n-1) indicates that we're multiplying the (n-1)th term by 2 to get the nth term. Basically we multiply each term by 2 to get the next term.

-12*2 = -24

-24*2 = -48

-48*2 = -96

So the first four terms are -12, -24, -48, -96.

-----------------------------------

Alternative Approach

f(1) = -12 .... first term

f(n) = 2*f(n-1) ... nth term recursive formula

f(2) = 2*f(2-1) ... plug in n = 2

f(2) = 2*f(1)

f(2) = 2*(-12) ... plug in f(1) = -12

f(2) = -24 ... second term

f(n) = 2*f(n-1) .... resetting for the next computation

f(3) = 2*f(3-1) ... plug in n = 3

f(3) = 2*f(2)

f(3) = 2*(-24)  ... plug in f(2) = -24

f(3) = -48 .... third term

f(n) = 2*f(n-1) ... one more reset

f(4) = 2*f(4-1) .... plug in n = 4

f(4) = 2*f(3)

f(4) = 2*(-48) ... plug in f(3) = -48

f(4) = -96 ... fourth term

We get the first four terms to be -12, -24, -48, -96, which was the same as earlier.

4 0
3 years ago
A driveway is 25 m long how long is a driveway in centimeters
Novosadov [1.4K]

Answer:

2500

Step-by-step explanation:

The driveway is 25 meters.

In every meter there is 100 centimeters.

So 25 times 100 is 2500 centimeters.

3 0
3 years ago
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