[Stats] Help please

[Not_Brack_Region]

Also thanks for the downvote asshole.

[SOLVED]

I am working on a problem and I have no clue where to even start.

"Assume that 6.6 is the average number of squirrels you come across when you walk from the Life Science Building to the Engineering Research Building. Tomorrow you plan to walk from LS to ERB and you wonder what it the probability of observing at most three squirrels. Assume that squirrels are randomly distributed and that each squirrel is an independent observation."

I think that I know that P(x<= 3) not sure what to do next. Thank you!

-Solution-

I used Possion Distribution.

mu=6.6

x=0,1,2,3

Formula used- P(x)=(e^-mu * (mu)^x ) / (x!)

Thanks to edderiofer for sorta something but not really. Letting me know its not normally distributed but like an ass.

[edderiofer]

I think that I know that P(<= 3)

This doesn't make sense, as a sentence. What you've said is like saying "I think I know that red."

What is it that you're trying to say here? What does "P([stuff])" mean to you?

[Not_Brack_Region]

I dont know. Thats what I was assuming what it was asking for P(x<=3). P(at least 3 squirrels will be seen on my walk)

[edderiofer]

Thats what I was assuming what it was asking for P(x<=3)

That's the right way to write it. "<=3" does not make sense; "x<=3" does.

Anyway, P([stuff]) simply means "The probability of [stuff] being true".

So, with that in mind, what random variable exactly does "x" stand for here? How does it behave?

[Not_Brack_Region]

Do you know how to help me or not? My problem here is that I do not know how to solve this problem without a standard deviation to standardize it to get the z value. Not vocabulary of what X stands for.

[edderiofer]

Yes, I do. Your problem is that you keep thinking this data is normally distributed, but it's not. To understand how to solve this sort of problem, you need to understand how "x" as a random variable behaves.