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gregori [183]
3 years ago
8

A database contains 58,000 items items are added to the database at a rate of 2 items per minute which function can be used to f

ind n the total number of items in the database after m minutes
Mathematics
1 answer:
Korolek [52]3 years ago
5 0

Answer:

N=2m+58000

Step-by-step explanation:

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The number of people arriving for treatment at an emergency room can be modeled by aPoisson process with a rate parameter of 5/h
saveliy_v [14]

Answer:

(a) The probability of having exactly four arrivals during a particular hour is 0.1754.

(b) The probability that at least 3 people arriving during a particular hour is 0.7350.

(c) The expected arrivals in a 45 minute period (0.75 hours) is 3.75 arrivals.

Step-by-step explanation:

(a) If the arrivals can be modeled by a Poisson process, with λ = 5/hr, the probability of having exactly four arrivals during a particular hour is:

P(X=4)=\frac{\lambda^{X}*e^{-\lambda}  }{X!} =\frac{5^{4}*e^{-5}  }{4!}=\frac{625*0.006737947}{24} =\frac{4.211}{24}=0.1754

The probability of having exactly four arrivals during a particular hour is 0.1754.

(b) The probability that at least 3 people arriving during a particular hour can be written as

P(X>3)=1-P(X\leq3)=1- (P(0)+P(1)+P(2)+P(3))

Using

P(X)=\frac{\lambda^{X}*e^{-\lambda}  }{X!}

We get

P(X>3)=1-P(X\leq3)=1- (P(0)+P(1)+P(2)+P(3))\\P(X>3)=1-(0.0067+ 0.0337+ 0.0842 + 0.1404 )\\P(X>3)=1-0.2650=0.7350\\

The probability that at least 3 people arriving during a particular hour is 0.7350.

(c) The expected arrivals in a 45 minute period (0.75 hours) is

EV=\lambda*t=5*0.75=3.75

8 0
3 years ago
Please help me!!!!!!!!!
gizmo_the_mogwai [7]

Answer:

396

Step-by-step explanation:

You multiply 3 times 3 times 4 times 11 to find your answer 396.

8 0
3 years ago
Read 2 more answers
Jane is leaving for vacation in 3 4/6 hours. Write the mixed
Naddika [18.5K]
The answer would be b
7 0
4 years ago
3 over 5 x 4 over 9​
Gnom [1K]

Answer:

4/15

Step-by-step explanation:

3/5x4/9=

12/45=

4/15

6 0
3 years ago
Is f(x) = 5^x - 9 a linear function?
anyanavicka [17]
No this is not a linear function
5 0
3 years ago
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