D rexel University M anagerial Statistics (EN MGT 571)
Summer 2009 , Internet Based Course on BB Vista Professor Rick Grandrino (w) 856-914-6716 (C) 609-417-5110
(w) richard.a.grandrino@lmco.com
Required Texts: (1) Probability of Statistics for Eng

ENMGT 571 Managerial Statistics I
Exam I
1.
Solve the following problems: I. A small manufacturing company will start operating a night shift. There are 25 machinists employed by the company. (12 points) a) If a night crew consist of three machini

Name
a
b
C
Problems
Box Plots
Brief Explaination
Histograms
Descriptive Statistics
Brief Explaination
Histograms
Descriptive Statistics
Brief Explaination
d i.
P(SCIndex >= 7)
d ii.
P(Salary <= 50)
d iii
P(Home value between 150 and 250)
d iv
e
e i.
e ii.

Solution for assignment
3. Find the probabilities for the following discrete random variables
a. Among a shipment of 5,000 tires, 1,000 are slightly blemished. If one purchases 10 of
these tires, what is the probability that 3 or less (P (x <= 3) are blem

4. An investment project is expected to earn $100,000 on average with a
standard deviation of $50,000. Assume earnings from this investment
project is a normal distribution
(10 pts)
a. Determine the probability that the annual net cash flow will be negati

Created
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UNISYS
CORP
Table_Of_Contents
Form
Type:
10-K
Period
End:
Dec29,
31,2016
2015 Inc.
Date
Filed:
Table
Of
Contents
Table
Of
Contents
-TABLE1
NAME
AND
TITLE
TABLE2
VALUATION
AND
QUALIFYING ACCOUNTS
TABLE3
TABLE4
TABLE5
TABLE6
TAB

The density function of a continuous random variable X, the total number of hours, in units of 100 hours,
that a family runs a vacuum cleaner over a period of one year is described by the following probability
density function.
x for < x < 1
f(x) = 2-x fo

0
0.5
1
1.5
0
0.5
1
0.5
The above is for the pdf.
x for < x < 1
f(x) = 2-x for 1 <=x<2
0 elsewhere
For values, x<1 , x = f(x)=y
For values 1<x<2 , f(x) = 2-x
So, for 1 , f(x)= 2-1 =1
For 1.5, f(x) = 2 - 1.5 = 0.5
Now, for the cdf
For values of x between 0

An investment project is expected to earn $100,000 on average with a standard deviation of $50,000. Assume ear
=
100000
S.D=
50000
a
b
x= amt of cash made on investment
Required probability=
Required probability=
Required probability=
P(x<=0)
P(z<=-2)
0.0

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Table_Of_Contents
Form
Type:
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Period
End:
Jun15,
27,2014
2014 Inc.
Date
Filed:
Table
Of
Contents
Table
OfAug
Contents
-TABLE1
TABLE2
TABLE3
TABLE4
TABLE5
TABLE6
TABLE7
TABLE8
TABLE9
TABLE10
TABLE11
NAME
AN

Problems
Problem 1
Problem 2a
Problem 2b
Problem 2c
Problem 2d
Problem 3a
Problem 3b
Problem 3c
Problem 3d
Problem 3e
Problem 3f i
Problem 3f ii
Answers: Make sure that
answers are to 4 decimal
places
Possible
Points
2496
10
see sheet P2
5
5
5
5
0.8791
0.