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 givenweek. With µ; = E(X;) and σ, 2² = V(X;), suppose that the mean values and standard deviations are as follows:= 230M1°₁ = 11M2 = 260 Из = 15002=13703(a) Assuming that X1, X2, X3 are independent, calculate the expected value and variance of the total volume shipped. [Hint: Volumeexpected valuevarianceft³ft6=27X1 + 125X2 + 512X3.](b) Would your calculations necessarily be correct if the X,'s were not independent? Explain.○ The expected value would be correct, but the variance would not be correct.Neither the expected value nor the variance would be correct.Both the expected value and the variance would be correct.The expected value would not be correct, but the variance would be correct.

Step 1:Solution:Given thatμ1 = 230, μ2 = 260, μ3 = 150 σ1 = 11, σ2 = 13, σ3 = 7 Part (a): - The…

Answered: A shipping company handles containers…

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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