2. Let U be a uniform continuous random variable on the interval [4, 9]. Let W = 10-2U, and let Y = √U (the positive square root). (a) What is the range of W? (b) Find a formula for Fw(w). (c) Find a formula for fw(w). (d) What is E(W)? (e) What is the range of Y? (f) Find a formula for Fy(y). (g) Find a formula for fy(y). (h) What is E(Y)?
2. Let U be a uniform continuous random variable on the interval [4, 9]. Let W = 10-2U, and let Y = √U (the positive square root). (a) What is the range of W? (b) Find a formula for Fw(w). (c) Find a formula for fw(w). (d) What is E(W)? (e) What is the range of Y? (f) Find a formula for Fy(y). (g) Find a formula for fy(y). (h) What is E(Y)?
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section5.3: The Natural Exponential Function
Problem 52E
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