- #1
Dustinsfl
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Homework Statement
Write in symbols the negation of the theorem stated in part a.
part a:We immediately see that if g(x) is a nonnegative continuous function whose integral is finite, then there exists an a>0 such that a*g(x) is a continuous probability distribution (take a=1/[tex]\int g(x)dx[/tex] from -[tex]\infty[/tex] to [tex]\infty[/tex]).
The negation of P implies Q is equivalent to not P or Q.
The issue is with the P part.
Is ~P= g(x) isn't a nonnegative continuous fuction whose integral isn't finite?
I am not sure if both is parts need to be negated or just one.
Then for the Q part it is just itself starting with the existential quantifier.