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ME 3023
Measurements in Mechanical Systems
Homework # 1
Fall 2010
Important Note:
Solve the following problems on one side of the
Engineering graph
paper
. Please write all the intermediate steps for partial credit. Start each problem on the
separate paper.
Due Date: In class on October 13, 2010 (Wednesday)
1. (20 points) Consider the diameters of ball bearings that have a mean value of 4.0
in
and a standard deviation of 0.1
in
. Assuming that the diameters of ball bearings follow
normal distribution, determine the following:
(a) The probability of ﬁnding the diameter less than or equal to 4.05
in
.
(b) The probability of ﬁnding the diameter greater than or equal to 3.85
in
.
(c) The probability of ﬁnding the diameter between 3.9
in
and 4.2
in
, and
(d) The central 98
th
percentile probability limits of the diameter.
(e) Find the value of
x
such that 12 % of the ball bearings have diameter less than
x
.
2. (20 points) A manufacturer states that the average lifetime of its light bulbs is 36
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This note was uploaded on 02/09/2011 for the course ME 3023 taught by Professor Chandekar during the Fall '10 term at TN Tech.
 Fall '10
 Chandekar

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