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Probability Density

rad6210

New member
Joined
Sep 13, 2009
Messages
21
Suppose X is a random variable whose density is f(x) = cx(1-x) for 0<x<1, and f(x) = 0 otherwise. Find:
a) the value of c
b) P(X <= 1/2)
c) P(X <= 1/3)

I'm not sure how to do part a), but would part b) be the integral from 0 to 1/2 of cx(1-x) dx , and then solve it that way?
Thanks!
 

pka

Elite Member
Joined
Jan 29, 2005
Messages
7,688
rad6210 said:
Suppose X is a random variable whose density is f(x) = cx(1-x) for 0<x<1, and f(x) = 0 otherwise. Find:
a) the value of c
b) P(X <= 1/2)
c) P(X <= 1/3)
\(\displaystyle c = \left( {\int_0^1 {x(1 - x)dx} } \right)^{ - 1}\)
 
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