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State whether or not the following statements are valid. (a)X∼Normal(μ,σ2)whereμandσ2 aresuchthatP[X<1.2×μ]>1/2. (b) X ∼ Geometric (p)...

State whether or not the following statements are valid. (a)X∼Normal(μ,σ2)whereμandσ2 aresuchthatP[X<1.2×μ]>1/2.
(b) X ∼ Geometric (p) where 0 < p < 1 then Var(X) must be greater than 1.
(c) X ∼ Poisson(λ) where λ is such that E[X] = π and Var(X) = π.
(d) X ∼ Gamma(1, 5) and P [X > 11|X > 5] = P [X > 6].
(e) X ∼ Geometric(p) where p is such that P[X > 11|X > 12] = 0.
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