EBK BUSINESS MATH
11th Edition
ISBN: 8220103633802
Author: NOBLE
Publisher: RENT PEARS
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Chapter 8.2, Problem 1-3SC
To determine
To calculate: The net price of a five-shelf instrument cart where the list price is
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4. [10] Let X be a RV. Suppose that E[X(X-1)] = 3 and E(X) = 2.
(a) Find E[(4-2X)²].
(b) Find V(-3x+1).
Students were asked to prove the identity (sec x)(csc x) = cot x + tan x. Two students' work is given.Student AStep 1:1/Cos x * 1/sin x = cot x + tan xStep 2: 1/cos x sin x = cot x + tan xStep 3: (cos^2 x + sin^2 x)/cos x sin x = cot x + tan xStep 4: cos^2 x/cos x sin x + sin^2x/cos x sin x= cot x + tan xStep 5: cos x/sin x + sin x/cos x = cot x + tan xStep 6: cot x + tan x = cot x + tan xStudent BStep 1: sec x csc x = cos x/ sin xStep 2: sec x csc x = cos^2x/cos x sin x + sin^2x/cos x sin xStep 3: sec x csc x = cos^2x + sin^2x/cos x sin xStep 4: sec x csc x = 1/cos x sin xStep 5: sec x csc x = (1/cos x), (1/sin x)Step 6: sec x csc x = sec x csc xPart A: Did either student verify the identity properly? Explain why or why not. Part B: Name two identities that were used in Student A's verification and the steps they appear in.
2. [15] Let X and Y be two discrete RVs whose joint PMF is given by the following table:
y
Px,y(x, y)
-1
1
3
0
0.1
0.04
0.02
I
2
0.08
0.2
0.06
4
0.06
0.14
0.30
(a) Find P(X ≥ 2, Y < 1).
(b) Find P(X ≤Y - 1).
(c) Find the marginal PMFs of X and Y.
(d) Are X and Y independent? Explain
(e) Find E(XY) and Cov(X, Y).
Chapter 8 Solutions
EBK BUSINESS MATH
Ch. 8.1 - Prob. 1-1SCCh. 8.1 - Prob. 1-2SCCh. 8.1 - Prob. 1-3SCCh. 8.1 - Prob. 1-4SCCh. 8.1 - Prob. 1-5SCCh. 8.1 - Prob. 1-6SCCh. 8.1 - Prob. 2-1SCCh. 8.1 - Prob. 2-2SCCh. 8.1 - Prob. 2-3SCCh. 8.1 - Prob. 2-4SC
Ch. 8.1 - Prob. 1SECh. 8.1 - Prob. 2SECh. 8.1 - Prob. 3SECh. 8.1 - Prob. 4SECh. 8.1 - Prob. 5SECh. 8.1 - Prob. 6SECh. 8.1 - Prob. 7SECh. 8.1 - Prob. 8SECh. 8.1 - Prob. 9SECh. 8.1 - Prob. 10SECh. 8.1 - Prob. 11SECh. 8.1 - Prob. 12SECh. 8.1 - Prob. 13SECh. 8.2 - Prob. 1-1SCCh. 8.2 - Prob. 1-2SCCh. 8.2 - Prob. 1-3SCCh. 8.2 - Prob. 1-4SCCh. 8.2 - Prob. 1-5SCCh. 8.2 - Prob. 1-6SCCh. 8.2 - Prob. 2-1SCCh. 8.2 - Prob. 2-2SCCh. 8.2 - Prob. 2-3SCCh. 8.2 - Prob. 2-4SCCh. 8.2 - Prob. 2-5SCCh. 8.2 - Prob. 2-6SCCh. 8.2 - Prob. 1SECh. 8.2 - Prob. 2SECh. 8.2 - Prob. 3SECh. 8.2 - Prob. 4SECh. 8.2 - Prob. 5SECh. 8.2 - Prob. 6SECh. 8.2 - Prob. 7SECh. 8.2 - Prob. 8SECh. 8.2 - Prob. 9SECh. 8.2 - Prob. 10SECh. 8.2 - Prob. 11SECh. 8.2 - Prob. 12SECh. 8.3 - Prob. 1-1SCCh. 8.3 - Prob. 1-2SCCh. 8.3 - Prob. 1-3SCCh. 8.3 - Prob. 1-4SCCh. 8.3 - Prob. 1-5SCCh. 8.3 - Prob. 1-6SCCh. 8.3 - Prob. 1-7SCCh. 8.3 - Prob. 1-8SCCh. 8.3 - Prob. 1-9SCCh. 8.3 - Prob. 1-10SCCh. 8.3 - Prob. 2-1SCCh. 8.3 - Prob. 2-2SCCh. 8.3 - Prob. 2-3SCCh. 8.3 - Prob. 2-4SCCh. 8.3 - Prob. 2-5SCCh. 8.3 - Prob. 2-6SCCh. 8.3 - Prob. 3-1SCCh. 8.3 - Prob. 3-2SCCh. 8.3 - Prob. 3-3SCCh. 8.3 - Prob. 3-4SCCh. 8.3 - Prob. 4-1SCCh. 8.3 - Prob. 4-2SCCh. 8.3 - Prob. 4-3SCCh. 8.3 - Prob. 4-4SCCh. 8.3 - Prob. 5-1SCCh. 8.3 - Prob. 5-2SCCh. 8.3 - Prob. 5-3SCCh. 8.3 - Prob. 5-4SCCh. 8.3 - Prob. 1SECh. 8.3 - Prob. 2SECh. 8.3 - Prob. 3SECh. 8.3 - Prob. 4SECh. 8.3 - Prob. 5SECh. 8.3 - Prob. 6SECh. 8.3 - Prob. 7SECh. 8.3 - Prob. 8SECh. 8.3 - Prob. 9SECh. 8.3 - Prob. 10SECh. 8.3 - Prob. 11SECh. 8.3 - Prob. 13SECh. 8.3 - Prob. 14SECh. 8.3 - Prob. 15SECh. 8.3 - Prob. 16SECh. 8.3 - Prob. 17SECh. 8.3 - Prob. 18SECh. 8.3 - Prob. 19SECh. 8.3 - Prob. 20SECh. 8.3 - Prob. 21SECh. 8.3 - Prob. 22SECh. 8.3 - Prob. 23SECh. 8.3 - Prob. 24SECh. 8.3 - Prob. 25SECh. 8.3 - Prob. 26SECh. 8 - Prob. 1ESCh. 8 - Prob. 2ESCh. 8 - Prob. 3ESCh. 8 - Prob. 4ESCh. 8 - Prob. 5ESCh. 8 - Prob. 6ESCh. 8 - Prob. 7ESCh. 8 - Prob. 8ESCh. 8 - Prob. 9ESCh. 8 - Prob. 10ESCh. 8 - Prob. 11ESCh. 8 - Prob. 12ESCh. 8 - Prob. 13ESCh. 8 - Prob. 14ESCh. 8 - Prob. 15ESCh. 8 - Prob. 16ESCh. 8 - Prob. 17ESCh. 8 - Prob. 18ESCh. 8 - Prob. 19ESCh. 8 - Prob. 20ESCh. 8 - Prob. 21ESCh. 8 - Prob. 22ESCh. 8 - Prob. 23ESCh. 8 - Prob. 24ESCh. 8 - Prob. 25ESCh. 8 - Prob. 26ESCh. 8 - Prob. 27ESCh. 8 - Prob. 28ESCh. 8 - Prob. 29ESCh. 8 - Prob. 30ESCh. 8 - Prob. 31ESCh. 8 - Prob. 32ESCh. 8 - Prob. 33ESCh. 8 - Prob. 34ESCh. 8 - Prob. 35ESCh. 8 - Prob. 36ESCh. 8 - Prob. 37ESCh. 8 - Prob. 38ESCh. 8 - Prob. 39ESCh. 8 - Prob. 40ESCh. 8 - Prob. 41ESCh. 8 - Prob. 42ESCh. 8 - Prob. 43ESCh. 8 - Prob. 44ESCh. 8 - Prob. 45ESCh. 8 - Prob. 46ESCh. 8 - Prob. 47ESCh. 8 - Prob. 48ESCh. 8 - Prob. 49ESCh. 8 - Prob. 50ESCh. 8 - Prob. 51ESCh. 8 - Prob. 52ESCh. 8 - Prob. 53ESCh. 8 - Prob. 54ESCh. 8 - Prob. 55ESCh. 8 - Prob. 56ESCh. 8 - Prob. 57ESCh. 8 - Prob. 58ESCh. 8 - Prob. 59ESCh. 8 - Prob. 60ESCh. 8 - Prob. 61ESCh. 8 - Prob. 62ESCh. 8 - Prob. 63ESCh. 8 - Prob. 64ESCh. 8 - Prob. 1PTCh. 8 - Prob. 2PTCh. 8 - Prob. 3PTCh. 8 - Prob. 4PTCh. 8 - Prob. 5PTCh. 8 - Prob. 6PTCh. 8 - Prob. 7PTCh. 8 - Prob. 8PTCh. 8 - Prob. 9PTCh. 8 - Prob. 10PTCh. 8 - Prob. 11PTCh. 8 - Prob. 12PTCh. 8 - Prob. 13PTCh. 8 - Prob. 14PTCh. 8 - Prob. 15PTCh. 8 - Prob. 16PTCh. 8 - Prob. 17PTCh. 8 - Prob. 18PTCh. 8 - Prob. 19PTCh. 8 - Prob. 20PTCh. 8 - Prob. 21PTCh. 8 - Prob. 22PTCh. 8 - Prob. 1CTCh. 8 - Prob. 2CTCh. 8 - Prob. 3CTCh. 8 - Prob. 4CTCh. 8 - Prob. 5CTCh. 8 - Prob. 6CTCh. 8 - Prob. 7CTCh. 8 - Prob. 8CTCh. 8 - Prob. 9CTCh. 8 - Prob. 10CTCh. 8 - Prob. 11CTCh. 8 - Prob. 1CPCh. 8 - Prob. 2CPCh. 8 - Prob. 1CS1Ch. 8 - Prob. 2CS1Ch. 8 - Prob. 3CS1Ch. 8 - Prob. 4CS1Ch. 8 - Prob. 1CS2Ch. 8 - Prob. 2CS2Ch. 8 - Prob. 3CS2Ch. 8 - Prob. 4CS2Ch. 8 - Prob. 1CS3Ch. 8 - Prob. 2CS3Ch. 8 - Prob. 3CS3Ch. 8 - Prob. 4CS3Ch. 8 - Prob. 5CS3
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