1. The problem statement, all variables and given/known data 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.