MEEN 260
Introduction to Engineering Experimentation
Homework 2: Probability and Statistics
Assigned:
Thursday, 29 Jan. 2009
Due:
Thursday, 5 Feb. 2009, 5:00 pm
Homework Problems:
Problem 1)
Determine the relations for converting;
a.
Kilometers per liter to miles per gallon (US).
b.
Specific Heat in kJ/kgC to Btu/lbmF.
Example: Converting viscosity in
2
ft
s
lbf
⋅
to
2
m
s
N
⋅
⎟
⎠
⎞
⎜
⎝
⎛
⋅
=
⎟
⎟
⎠
⎞
⎜
⎜
⎝
⎛
⎟
⎟
⎠
⎞
⎜
⎜
⎝
⎛
⎟
⎟
⎠
⎞
⎜
⎜
⎝
⎛
⋅
=
⎟
⎟
⎠
⎞
⎜
⎜
⎝
⎛
⋅
2
2
2
2
88
.
47
3048
.
0
1
22481
.
0
1
1
1
m
s
N
m
ft
lbf
N
ft
s
lbf
ft
s
lbf
Problem 2)
The time taken for a computer packet to travel from Cambridge UK to Cambridge MA
follows a Gaussian distribution. 6.8% of the packets take over 200 ms to make the trip,
and 3% take under 140 ms. Find the mean and standard deviation of the distribution.
Problem 3)
Sawmill A produces boards whose lengths follow a Gaussian distribution with a mean of
209.4 cm and a standard deviation of 5 cm. A board is accepted if it is longer than 200
cm, but it is rejected otherwise. Sawmill B produces boards with the same standard
This preview has intentionally blurred sections. Sign up to view the full version.
View Full Document
This is the end of the preview.
Sign up
to
access the rest of the document.
 Fall '08
 LANGARI
 Normal Distribution, Standard Deviation, Mean, Engineering Experimentation Homework, Sawmill B

Click to edit the document details