Paul Donhauser
COB 191: Business Statistics
Professor Ping Wang
Assigned Problem Set No. 5
5.8)
a.
E(X) = $90
E(Y) = $30
b.
σ
X
= $126.10
σ
Y
= $10.95
c.
σ
XY
= $1300
d.
E(X+Y) = $120
5.10)
a.
E(W+S) = 9.5 mins.
b.
σ
W+S
= 1.9209 mins.
5.18)
a.
.5997
b.
.0016
c.
.0439
d.
.4018
5.20)
a.
μ = .40
σ = .6
b.
μ = .1.6
σ = .9798
c.
μ = 4
σ = .8944
d.
μ = 1.5
σ = .866
5.22)
a.
P(X = 5) = .0778
b.
P(X ≥ 3) = .6826
c.
P(X ≤ 1) = .0870
d.
a.
P(X=5) = .3277
b.
P(X ≥ 3) = .9421
c.
P(X ≤ 1) = .0067
5.28)
a.
Empirical Classical Probability
b.
P(X 5) = 1.4E
˂
5
c.
P(X ≥ 10) = .9721
d.
P(X = 20) = .000446867
5.30)
a.
P(X = 2) = .2565
b.
P(X = 8) = .1396
c.
P(X = 1) = .3033
d.
P(X = 0) = .0247
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5.32)
a.
P(X = 1) = .0337
b.
P(X 1) = .0067
˂
c.
P(X 1) = .9596
˃
d.
P(X ≤ 1) = .0404
5.34)
a.
P(X 5) = .2851
˂
b.
P(X = 5) = .1606
c.
P(X ≥ 5) = .7149
d.
P(X = 5 or X = 4) = .2945
5.38)
a.
P(X = 2) = .0176
b.
P(X ≤ 1) = .9093
c.
P(5 ≤ X ≤ 15) = .922
5.51)
the mean of a probability distribution
5.52)
a. the sample has a fixed number of observations
b. each observation is either a success or a failure
c. the probability of an observation being a success is kept constant throughout the entire
sample which also means that the probability of an observation being a failure is also
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 Fall '07
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 µ, Probability space, σ, Professor Ping Wang

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