If f(x) and g(x) are p.d.f. on the same interval a ≤ x ≤ b, show...

Question

Question

If f(x) and g(x) are p.d.f. on the same interval a ≤ x ≤ b, show that

f(x)+g(x) is NOT a p.d.f. on [a,b]. In addition, show that the function λf(x)+(1−λ)g(x)

is a p.d.f. on [a,b] for any λ ∈ [0,1].

math Statistics-And-Probability

Answer 1

Answer #1

Answer 2

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