I are independent. Eunction of W given L = 2. a formed A = Lx W Find the range
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.8: Probability
Problem 31E
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Solve the last part for the
Transcribed Image Text:In Minecraft, TNT produces rectangular craters when it blows up. It is known that the length
L (in metres) and width W (in metres) of the rectangle are discrete random variables with joint
probability function f(l, w) = klw², for w = 1,2, l = 1, 2, 3, where k is a positive constant.
Find the value of k.
Determine and justify if L and W are independent.
Find the conditional probability function of W given L = 2.
Let A be the area of the rectangle formed, A = L × W. Find the range and probability
function of A.
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