How many times does 6 go into 110

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

2 years ago

How much does 3000 kg = to get tons

erastovalidia [21]

Again
1000kg = 1ton
3000kg = 3 tons

8 0

2 years ago

Read 2 more answers

Consider the sequence -1,3,-9,27,-81

defon

Answer:

I don't know the answer but have a amazing day!<3

Step-by-step explanation:

Be happy.

4 0

2 years ago

Can anyone help me with these?<br> It would be a big help:)

stira [4]

1) $\frac{1}{x+7}$
2)5x^2-45/2y-6
7)6x^5+4x^4-x^3/2
8)5
3)x^2-4x+6/x-2
4)23/5x
5)-2x+9/x^2-5x+6
6)x=-28/3,x≠-3

also im a 12th grader in connections academy? and you?

7 0

3 years ago

HELP ASAP WILL GIVE BRAINLIEST

never [62]

Answer: 25 m/s

Step-by-step explanation:

5 0

2 years ago