Probability Question (Density Function)

[questioner]

Hi friends,
I've worked on tried to put x value on equality range, but I didn't the steps,( how to calculate final steps) so i couldn't solve it
Any help will great help us, thanks a lot in advance

solving on the paper is better for understand the process, thanks

 

[tkhunny]

1) You'll have t get a much better translator.

2) Check! Always Check.[MATH]\int_{0}^{\infty}e^{-x}\;dx = 1[/MATH] Is it? Then you may have a true Probability Density Function.

3) How much of that density is between 1 and 3?

 

[questioner]

1) You'll have t get a much better translator.

2) Check! Always Check.[MATH]\int_{0}^{\infty}e^{-x}\;dx = 1[/MATH] Is it? Then you may have a true Probability Density Function.

3) How much of that density is between 1 and 3?

is the answer 0,31802? I found something like that

 

[tkhunny]

You tell me. Maybe you copied it badly. Check that number a bit. You could try the exact answer.

It REALLY helps when you SHOW us how you arrived at your result. Did you use an integral? Did you pull a rabbit out of a hat?

Did you check to make sure you actually had a probability distribution?

 

[questioner]

You tell me. Maybe you copied it badly. Check that number a bit. You could try the exact answer.

It REALLY helps when you SHOW us how you arrived at your result. Did you use an integral? Did you pull a rabbit out of a hat?

Did you check to make sure you actually had a probability distribution?

Actually, it is the last day of my homework delivery time. Only 2-3 question left. I was working in a job full-time, so i had not much time to work on probability. I have 8 lesson in this term. And if I failure on this homework, my school won't finished. I've worked very hard on other lessons (like discrete maths, differential equation) but in probability ... I'm desperate about this lesson, and there is no time left to really work on this. I need your help urgently. .

I'm not lazy person.Never. I'm working 15+ hours a day

I'm also working on software developing and i really love to help people on stackoverflow etc. platforms.

The solutions must be on paper as step by step, (our teacher said) .I don't want to disturb you but i need help your help as soon as possible. Please understand me friends. Please.

The questions that left:


I will be very grateful for your help.Thanks

 

[tkhunny]

#2 - Why not expand the numerator and see where it leads. I'm hoping the denominator is trivial.

 

[tkhunny]

#3 - You're going to have to build the Likelihood Function (and the Log-Likelihood Function). After that, it's a little calculus and some algebra.