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#1 2007-11-15 08:57:36
- George74
- Guest
Help with probability please?
Not really sure how to go about this one...
Suppose X is a uniform random variable on the interval (0, π/2). Compute the density of Y=sinX.
#2 2007-11-15 09:41:41
- JaneFairfax
- Member
- Registered: 2007-02-23
- Posts: 6,868
Re: Help with probability please?
First compute the density of X. Since X is uniform, f(x) = constant for x ∈ (0,n⁄2) (and 0 elsewhere). And
Thus the density of Y = g(X) = sin(X) is (using the chain rule)
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