The answer is D. this is because in order for the brackets to equal zero, you have to have a negative number inside.
Answer:
P=0.2613
Step-by-step explanation:
-Notice that this is a poison probability distribution problem.
-The Poisson probability function is expressed as:
![P(X=x)=\frac{\lambda^x e^{-\lambda}}{x!}](https://tex.z-dn.net/?f=P%28X%3Dx%29%3D%5Cfrac%7B%5Clambda%5Ex%20e%5E%7B-%5Clambda%7D%7D%7Bx%21%7D)
where:
- x=0,1,2,3
Euler's constant
=mean number of occurrences.
Given that x= 2 and
, the probability is calculated as:
![P(X=2)=\frac{\lambda^xe^{-\lambda}}{x!}\\\\=\frac{2.4^2e^{-2.4}}{2!}\\\\\\=0.2613](https://tex.z-dn.net/?f=P%28X%3D2%29%3D%5Cfrac%7B%5Clambda%5Exe%5E%7B-%5Clambda%7D%7D%7Bx%21%7D%5C%5C%5C%5C%3D%5Cfrac%7B2.4%5E2e%5E%7B-2.4%7D%7D%7B2%21%7D%5C%5C%5C%5C%5C%5C%3D0.2613)
Hence, the probability that in a randomly selected office hour, the number of student arrivals is 2 is 0.2613
<u>Given</u>:
A shelf is built on a wall. The angles of the triangle are given as (x + 3)°, (2x - 18)° and 90°
We need to determine the value of x.
<u>Value of x:</u>
By triangle sum property, the angles in a triangle always add up to 180°
Thus, we have;
![(x+3)+(2x-18)+90=180](https://tex.z-dn.net/?f=%28x%2B3%29%2B%282x-18%29%2B90%3D180)
Simplifying, we get;
![3x+75=180](https://tex.z-dn.net/?f=3x%2B75%3D180)
Subtracting both sides by 75, we get;
![3x=105](https://tex.z-dn.net/?f=3x%3D105)
Dividing both sides of the equation by 3, we get;
![x=35](https://tex.z-dn.net/?f=x%3D35)
Thus, the value of x is 35.
Is there a graph or something?
See the attached picture: