Which of the following functions are allowable as a probability density function for some continuous random variable? 0 0 0 U A B C E F A: f₁(x) = C: f3(x) = √3x² −1≤x≤0 else 10 T2 x > 10 x≤ 10 E: f5(x) = = B: f2(x)= D: f₁(x) = -x² -1

Q: 3 nd the probability distribution of Y = (1+)² e- (²) -0.5 □e(¹-√√3/y) 3e-3x 3y y/3 f(x) = { %* 0,…

A: Let X be random variable

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Q: the probability

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Q: Let P(A) = r and P(B) = s with AN B= p. Then P(A\B) equals Select one: а. 1 b. 1-5 C. 0 d. r

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Q: P(-∞ < x≤ a₁₂) = P(a₁ ≤ x ≤ a₂) = P(a₂ ≤ x ≤ a3) = P(a3 ≤ x < ∞) = function p(x) a₁ = = 1 π(1 + x²)…

A:

Q: Let X be a Poisson random variable with E(X) = 3. Find P(2 < x < 4).

A: When X~ Pois(λ) P(X=x)=e-λ λx/x!  ; X=0,1,2,3,.. result: r!=r(r-1)(r-2)..3x2x1