SOLUTION: i need help... suppose you choose at random a real number X from the interval [2, 10]. Find the PDF f_X(x) and the probability of an event E for this experiment, where E is a su

Algebra ->  Probability-and-statistics -> SOLUTION: i need help... suppose you choose at random a real number X from the interval [2, 10]. Find the PDF f_X(x) and the probability of an event E for this experiment, where E is a su      Log On


   

Question 440036: i need help...
suppose you choose at random a real number X from the interval [2, 10]. Find the PDF f_X(x) and the probability of an event E for this experiment, where E is a subintercal [a,b] of [2,10].
thanks for your help
Answer by robertb(5830) About Me  (Show Source):
You can put this solution on YOUR website!
f%28x%29+=+1%2F8 for x in [2,10], the probability density function.
F%28x%29+=+int%281%2F8%2C+dx%2C+2%2Cx%29+=+%28x-2%29%2F8, for 2+%3C=+x+%3C=+10, the cumulative density function.
P([a,b]) = int%281%2F8%2C+dx%2C+a%2Cb%29+=+%28b-a%29%2F8