Probablity question (confused on the pdf)

  • Thread starter bennyska
  • Start date
  • #1
bennyska
112
0

Homework Statement

[itex]
$f(x)=\begin{cases}
7(4)^{-i} & x\in(\frac{1}{2^{i}},\frac{1}{2^{i-1}}],i=1,2,3,...\\
0 & 0\geq x,x>1
\end{cases}$ (please excuse the poor latex)

Homework Equations





The Attempt at a Solution


the problem I'm having is say x=3/4. then according to the pdf, shouldn't P(x)=7*(4^-1)=7/4>1. i mean, shouldn't it be bounded by 1? when i integrate this out, i get 1, like i should, so I'm not sure what mistake I'm making.
 

Answers and Replies

  • #2
smk037
68
1
what is the actual question? Maybe I'm missing it, but it seems like you just posted an equation without any description of what you are trying to do
 
  • #3
jbunniii
Science Advisor
Homework Helper
Insights Author
Gold Member
3,475
257
Why do you expect that a pdf must be bounded by 1? Consider a random variable that is uniformly distributed over the interval [0, 1/2]. Is that pdf bounded by 1?
 
  • #4
bennyska
112
0
well, the actual problem is show that this function is a pdf. so i need to show that it integrates to 1, which it does, but i believe i also need to show that it's bounded by 0 and 1 for all x in the domain, which is the problem I'm having a hard time with.
 
  • #5
bennyska
112
0
oh, got it. duh. thank you.
 

Suggested for: Probablity question (confused on the pdf)

Replies
4
Views
344
  • Last Post
Replies
16
Views
833
Replies
6
Views
362
Replies
27
Views
616
Replies
8
Views
410
Replies
1
Views
587
Replies
4
Views
272
Replies
23
Views
606
Top