20/5+7=??????????<br> someone help me plz will mark brainliest

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

Matt and Ryan are playing an exciting round of Rock Paper Scissors: The Collectible Card Game. Matt is convinced that Rock can b

kiruha [24]

Using the hypergeometric distribution, there is a 0.1786 = 17.86% probability that Ryan beats Matt in a landslide by choosing 3 Paper cards in a row.

<h3>What is the hypergeometric distribution formula?</h3>

The formula is:

$P(X = x) = h(x,N,n,k) = \frac{C_{k,x}C_{N-k,n-x}}{C_{N,n}}$

$C_{n,x} = \frac{n!}{x!(n-x)!}$

The parameters are:

x is the number of successes.

N is the size of the population.

n is the size of the sample.

k is the total number of desired outcomes.

For this problem, we have that Ryan will win if he takes 3 Paper cards from a set of 8(5 paper and 3 scissors), hence the parameters are given as follows:

N = 8, k = 5, n = 3, x = 3.

Hence the probability is given by:

$P(X = x) = h(x,N,n,k) = \frac{C_{k,x}C_{N-k,n-x}}{C_{N,n}}$

$P(X = 3) = h(3,8,3,5) = \frac{C_{5,3}C_{3,0}}{C_{8,3}} = 0.1786$

0.1786 = 17.86% probability that Ryan beats Matt in a landslide by choosing 3 Paper cards in a row.

More can be learned about the hypergeometric distribution at brainly.com/question/24826394

#SPJ1

4 0

1 year ago

Please help me with this! Show work if possible

photoshop1234 [79]

Answer:

True

Step-by-step explanation:

Suppose you have a quadratic function

$ax ^ 2 + bx + c = 0$

Factoring this expression results in:

$ax ^ 2 + bx + c = (x-h) (x-k) = 0$

Where h and k are real numbers.

Then the function is equal to 0 when $x = h$ and when $k = 0$ .

Therefore h and k will always be the solutions when we have the quadratic function factored in the form

$(x-h)(x-k) = 0$

Since we have ensured that the factors of the function contain only real numbers, then h and k are real numbers, and x and y must also be real numbers. Therefore solutions to an equation in this form will always be real solutions.

The statement is true

6 0

3 years ago

PLEASE HELP ill give brainlist to the first right answer

ra1l [238]

Answer:

how do i say this uh...

Step-by-step explanation:

i wanna say 3 up and 4 across, then alighn. then 2 up and 1 across there.

6 0

2 years ago

I NEED HELP WITH THIS ASAP THERE IS ALSO ONE MORE QUESTION TO THIS PROBLEM PLEASE HELP

Ray Of Light [21]

Answer:

whoa hold up there friend

Step-by-step explanation:

it will be 4,6,8,10 and the 2nd one is $10,$15,$20,$25

3 0

3 years ago

20/5+7=?????????? someone help me plz will mark brainliest