Why do upper level math books put stupidly hard problems for exercises ?

why do upper level math books put stupidly hard problems for exercises ?

How am I even supposed to solve stupid shit like this?

but that's an easy problem in a lower level math book, there's no excuse for not being able to do that except for a serious case of being a brainlet

>How am I even supposed to solve stupid shit like this?
Brainlet detected.

It's to test how well you actually understand the materials. How the fuck do you even study textbooks?

>hurr brainlet
That integral is impossible to solve with lambda being improperly defined so how am I supposed to solve for c?

plus you cant even integrate x!

>integral
jesus christ, you really are a brainlet

you are supposed to solve for the integral equaling 1 to find c

>you are supposed to solve for the integral equaling 1 to find c
no you're not brainlet, try going to class for once

wtf am I supposed to do then

read the fucking textbook idiot

>with lambda being improperly defined
Looks defined to me

lambda is a known positive value means nothing since the function changes value when lambda changes

so I COULD pick a random lamba but then you still cant integrate x!

>primary school homework
Not Veeky Forums.

Lel lambda is fixed, integrate with respect to i

why are you retards integrating?

>lambda is a known positive value means nothing since the function changes value when lambda changes
so c is in terms of lambda, what's the issue?

x! doesn't have a properly defined integral that you can use to solve for c

so while I can set lambda to 1, there's no way to find c
because you want the probability function to equal 1 when you integrate over the entire sample space

>x! doesn't have a properly defined integral that you can use to solve for c
irrelvant since you're not supposed to integrate

>so while I can set lambda to 1, there's no way to find c
why would set it to 1? there's no reason to

>because you want the probability function to equal 1 when you integrate over the entire sample space
no you don't

This is easy and you don't have to (and shouldn't) integrate to solve it

the domain of the function is only non negative integers so it's not continuous if i'm reading it correctly?

Lambda is the Ffonadgob function, just integrate with respect to e^k

...

>when you integrate over the entire sample space
When you integrate (any function) over the natural numbers you get 0. What does this tell you?

>no you don't
cdf is supposed to equal 1 from -inf to inf
seriously im feeling like a major brainlet wtf am I missing?

read your textbook before trying to do the questions, retard

IT'S A DISCRETE PROBABILITY QUESTION YOU RETARD. GOOGLE POISSON DISTRIBUTION JFC. ALSO THIS

Why are people helping this retard?

>tfw math book requires you just know really obscure properties

>really obscure properties
>poisson distribution
>taylor series of e^x
Okay this is a troll thread.

w-woah

y'know at a point it becomes hard to remember all the formulas especially if its in a different math field you are used to working in