Julio C Lopez
MAST 6201
4/2/2016
Homework Session #2
1.) 6.1
a. 0.9418
b. 0.0329
c. 0.0253
d. 0.9747
2.) 6.5
a. Pr(X>75)
b. Pr(X<70)
c. Pr(X<80)
Pr(X>110)
From Standard Normal Table
0.9938 1-Norm.Dist(75,100,10,True)
0.00135 Norm.Dist(70,100,10,True)
0.02
Julio C Lopez
MAST 6201
4/16/2016
Homework Session #4
4.21)
a. Pr(09|Y) 84% = .39/.46 = Pr (09 and Y)/Pr(Y)
2009
2008
yes
39%
7%
0.46
no
61%
93%
1.54
1
1
b. Pr(Y|09) 39% = .39/1= (Y and 09)/Pr(09)
c. In part A we considered the comment event of Y in 2009
Julio C Lopez
MAST 6201
4/9/2016
Homework Session #3
1.) 8.15
x-bar = 0.00
s = 0.00
n = 100
confidence = 95%
a. Lower bound = 2.463 2.55-T.Inv.2t(0.05,99)*0.44/sqrt(100)
Upper bound = 2.637
2.55+T.Inv.2t(0.05,99)*0.44/sqrt(100)
b. Assuming the mean value
Homework #1
1)
Increasing
Falling
Mean
Variance
Standard Deviation
0.5
0.5
0.5
0.25
0.5
2)
Top League
Bottom League
Variance
Variance
Standard Deviation
Standard Deviation
0.75
0.25
0.188
0.188
0.433
0.433
5.1)
Dist A
Outcomes Xi
Probabilities Pi
0
0.5
A)
