Face the Future

This Post has three Assignments:

1. Face the Future

Write a 250-word, double-spaced APA-compliant paper responding to the “Management Team Decision”, ‘Face the Future’ exercise at the end of Chapter 7 in (Williams, Chuck (2013). Management, 7th Edition. Mason, OH: South-Western. ISBN-13: 9781-111-96981-3)
In addition to responding to the questions at the end of the short case, also discuss the step in managing change: Implementing change

2.  The American Yawp

For week 8, follow the usual instructions. A list of questions to consider as you read to help scaffold your responses as you like.
As you read, think about whether women’s liberation at this time was indeed liberating? What about the resurgence of the KKK and the rise in lynchings across America at this time that terrorized Black Americans? How was immigration changing during this time as well? Finally, what was America’s place in the world following World War I?

3. ECO320Instructor: Mathematical Statistics
HW 5
Joint, marginal, conditional distributions and some expectations
(1) If the values of the joint distribution of two discrete random variables X and Y is given by:
x

€nd:
(a) Pr(X = 1; Y = 2)
(b) Pr(X = 0; 1 ≤ Y < 3)
(c) Pr(X + Y ≤ 1)
(d) Pr(X > Y )
(e) E(X · Y )
(f) fX(x)
(g) E(X)
(h) f(yjx = 2)
(i) E(Y jx = 2)
(2) If the values of the joint distribution of two discrete random variables X and Y is given by:
f(x; y) = (0x21 ;+otherwise y; for x = 1; 2; 3 and y = 1; 2
€nd:
(a) fX(x)
(b) fY (y)
(c) f(xjy = 1)
(d) Pr(X ≥ 2jy = 1)
(e) E(X)
(f) E(Y )
(g) E(Xjy = 1)
©2018 Laura Karpuska. All rights reserved. 1
ECO320Instructor:
(h) Explain in your own words what is the di‚erence betweem E(X) and E(Xjy = 1). Do they express
the same expectation?
(3) If the values of the joint distribution of two continuous random variables X and Y is given by:
f(x; y) = (0x;+3otherwise y; for 0 < x < 1 and 0 < y < 2
€nd:
(a) fX(x)
(b) fY (y)
(c) f(xjy = 1)
(d) E(X)
(e) E(X2)
(f) V ar(X)
(g) E(Xjy = 1)
(h) What can you tell about E(X) and E(Xjy = 1)?Are they di‚erent? If so, which one is higher?
What is the intuition behind this result?
(i) E(X2jy = 1)
(j) V ar(Xjy = 1)
(k) What can you tell about V ar(X) and V ar(Xjy = 1)? Are they di‚erent? If so, which one is
higher? What is the intuition behind this result?
Mathematical expectation and variance
(4) Prove V ar(aX + b) = a2V ar(X), for X a discrete random variable.
Hint: de€ne Z = aX + b and work with second variance formula you saw in class. You can look for
references to prove this, as long as you cite them.
(5) Consider the following probability density function :
f(x) = (0x;+1 6otherwise ; x = 1; 2; 3
Find:
(a) E(X)
(b) E(X2)
(c) V ar(X)
(6) For each random variable X, Y ,Z, and W as showed in the tables below, plot their pdf as we did
in class (not with dots, but with rectangles that have a base with width equal to 1) and compute the
expected value and variance:
Values of X 1 2 3 4 5
f(x) = P (X = x) 1 5 1 5 1 5 1 5 1 5
©2018 Laura Karpuska. All rights reserved. 2
ECO320Instructor:
Values of Y 1 2 3 4 5
f(y) = P(Y = y) 10 1 10 2 10 4 10 2 10 1
Values of W 1 2 3 4 5
f(w) = P(W = w) 0 0 1 0 0
(7) Consider the following probability density function:
f(x) = (02 9;x; otherwise 0 < x < 3
Find:
(a) E(X)
(b) E(X2)
(c) V ar(X)
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