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Math for Business Analysis - Final Assignment | MAT 211, Exams of Mathematics

Arizona State University (ASU) - TempeMathematics

Material Type: Exam; Class: Math for Business Analysis; Subject: Mathematics; University: Arizona State University - Tempe; Term: Fall 2007;

Typology: Exams

Pre 2010

Uploaded on 09/02/2009

koofers-user-e3o
koofers-user-e3o 🇺🇸

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Final HW Assignment
due Dec. 4, 2007∗
MAT 211
David Smith
November 28, 2007
•4.1: 1, 5, 15;
•4.3: 1, 7, 8;
•9.4: problems below;
•9.5: 1, 3, 5, 7, 16, 17;
•WW: one new set.
1. Let
f(x) = 2x, if 0 ≤x≤1
0,else
be the p.d.f. of continuous random variable X.
(a) Sketch the graph of f(x).
(b) Find P(.5< X), P (.2< X < 1), P (X > .4), P (X=.4) and
P(0 ≤X≤1).
(c) Find the mean, variance, and standard deviation of X.
∗You may turn it in at the start of the final exam for full credit.
1
pf2

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Download Math for Business Analysis - Final Assignment | MAT 211 and more Exams Mathematics in PDF only on Docsity!

Final HW Assignment

due Dec. 4, 2007∗

MAT 211

David Smith

November 28, 2007

  • 9.4: problems below;
  • 9.5: 1, 3, 5, 7, 16, 17;
  • WW: one new set.
  1. Let f (x) =

2 x, if 0 ≤ x ≤ 1 0 , else

be the p.d.f. of continuous random variable X. (a) Sketch the graph of f (x). (b) Find P (. 5 < X), P (. 2 < X < 1), P (X > .4), P (X = .4) and P (0 ≤ X ≤ 1). (c) Find the mean, variance, and standard deviation of X.

∗You may turn it in at the start of the final exam for full credit.

1

  1. Let g(x) =

c√x, if 1 ≤ x ≤ 4 0 , else

where c is some constant, be the p.d.f. of continuous random variable Y. (a) What is the value of c? (Hint: see property (b) in the first para- graph of section 9.4.) (b) Sketch the graph of g(x). (c) Find P (2 < Y ), P (2 < Y < 3), P (Y > 2 .5), P (Y = 3.5) and P (1 ≤ Y ≤ 4). (d) Find the mean, variance, and standard deviation of Y.

  1. Let h(x) =

4 −^34 x^2 ,^ if^ −^1 ≤^ x^ ≤^1 0 , else

be the p.d.f. of continuous random variable Z. (a) Sketch the graph of h(x). (b) Find P (0 < Z), P (−^12 < Z < 34 ), P (Z > 25 ), P (Z = 25 ) and P (− 1 ≤ Z ≤ 1). (c) Find the mean, variance, and standard deviation of Z.