A shipping company handles containers in three different sizes: (1) 27 ft³ (3 × 3 × 3), (2) 125 ft³, and (3) 512 ft³. Let X; (i = 1, 2, 3) denote the number of type i containers shipped during a given week. With μ; = E(X;) and σ;² = V(X;), suppose that th mean values and standard deviations are as follows: M₁ = 200 %₁ = 11 = 260 H₂ %₂ = 13 H3 = 110 03 = 7 (a) Assuming that X₁, X₂, X3 are independent, calculate the expected value and variance of the total volume shipped. [Hin Volume = 27X₁ + 125X₂ + 512X3.] expected value ft3 variance ft6 (b) Would your calculations necessarily be correct if the X;'s were not independent? Explain. O Both the expected value and the variance would be correct. O The expected value would not be correct, but the variance would be correct. O Neither the expected value nor the variance would be correct. The onog o would not be correct
A shipping company handles containers in three different sizes: (1) 27 ft³ (3 × 3 × 3), (2) 125 ft³, and (3) 512 ft³. Let X; (i = 1, 2, 3) denote the number of type i containers shipped during a given week. With μ; = E(X;) and σ;² = V(X;), suppose that th mean values and standard deviations are as follows: M₁ = 200 %₁ = 11 = 260 H₂ %₂ = 13 H3 = 110 03 = 7 (a) Assuming that X₁, X₂, X3 are independent, calculate the expected value and variance of the total volume shipped. [Hin Volume = 27X₁ + 125X₂ + 512X3.] expected value ft3 variance ft6 (b) Would your calculations necessarily be correct if the X;'s were not independent? Explain. O Both the expected value and the variance would be correct. O The expected value would not be correct, but the variance would be correct. O Neither the expected value nor the variance would be correct. The onog o would not be correct
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.6: The Inverse Trigonometric Functions
Problem 94E
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