Ghulam Ishaq Khan Institute of Engineering Sciences & Technology, Topi
Engineering Statistics
ES 202

Spring 2017
ASSIGNMENT 7
SPRING SEMESTER 2017
ES 202  ENGINEERING STATISTICS
1. The shopping times of n = 64 randomly selected customers at a local supermarket
were recorded. The average and variance of the 64 shopping times were 33 minutes
and 256 minutes2 , respec
Ghulam Ishaq Khan Institute of Engineering Sciences & Technology, Topi
Engineering Statistics
ES 202

Spring 2017
ASSIGNMENT 7
SPRING SEMESTER 2017
ES 202  ENGINEERING STATISTICS
1. The shopping times of n = 64 randomly selected customers at a local supermarket
were recorded. The average and variance of the 64 shopping times were 33 minutes
and 256 minutes 2 , respe
Ghulam Ishaq Khan Institute of Engineering Sciences & Technology, Topi
Engineering Statistics
ES 202

Spring 2017
ASSIGNMENT 2
SPRING SEMESTER 2017
ES 202  ENGINEERING STATISTICS
1. Find a formula for the probability distribution of the total number of heads obtained
in three tosses os a balanced coin and use it to generate corresponding probability
distribution tab
Ghulam Ishaq Khan Institute of Engineering Sciences & Technology, Topi
Engineering Statistics
ES 202

Spring 2017
ASSIGNMENT 3
SPRING SEMESTER 2017
ES 202  ENGINEERING STATISTICS
1. A production lot contains hundred items five of which are defective. A sample of
three items is selected, without replacement, from this lot. Let X be the number of
defective items in th
Ghulam Ishaq Khan Institute of Engineering Sciences & Technology, Topi
Engineering Statistics
ES 202

Spring 2017
ASSIGNMENT 5
SPRING SEMESTER 2017
ES 202  ENGINEERING STATISTICS
1. A large chain retailer purchases a certain kind of electronic device from a manufacturer. The manufacturer indicates that the defective rate of the device is 3%.
(a) The inspector random
Ghulam Ishaq Khan Institute of Engineering Sciences & Technology, Topi
Engineering Statistics
ES 202

Spring 2017
ASSIGNMENT 1
SPRING SEMESTER 2017
ES 202  ENGINEERING STATISTICS
1. Prove that for any two sets A and B:
and A r B = A B c
A = (A r B) (A B)
and hence
A = (A B) (A B c )
2. If P r(A) = a, and P r(B) = b, show that
P r(AB)
a+b1
b
3. Box I contains 3 red
Ghulam Ishaq Khan Institute of Engineering Sciences & Technology, Topi
Engineering Statistics
ES 202

Spring 2017
ASSIGNMENT 4
SPRING SEMESTER 2017
ES 202  ENGINEERING STATISTICS
1. An earlywarning detection system for aircraft consists of four identical radar units
operating independently of one another. Suppose that each has a probability of
0.95 of detecting an
Ghulam Ishaq Khan Institute of Engineering Sciences & Technology, Topi
Engineering Statistics
ES 202

Spring 2017
PROBLEM SET 2
SPRING SEMESTER 2015
ME 201/ES 202  ENGINEERING STATISTICS
1. Approximately 10% of the glass bottles coming off a production line have serious
flaws in the glass. If two bottles are randomly selected, find the mean and variance
of the numbe
Ghulam Ishaq Khan Institute of Engineering Sciences & Technology, Topi
Engineering Statistics
ES 202

Spring 2017
ASSIGNMENT 3
SPRING SEMESTER 2015
ME 201/ES 202  ENGINEERING STATISTICS
1. As the items come out of a production process, they are inspected for defects. A
sample of 4 items is picked at random intervals. Calculate the expected number
of defective items
Ghulam Ishaq Khan Institute of Engineering Sciences & Technology, Topi
Engineering Statistics
ES 202

Spring 2017
PROBLEM SET 1
SPRING SEMESTER 2015
ME 201/ES 202  ENGINEERING STATISTICS
1. Prove the following set distribution laws:
!
!
n
n h [
n
n h \
i
i
[ \
\
\ [
[
A
Bi =
A Bi
and A
Bi =
A Bi
i=1
i=1
i=1
i=1
2. Find the expressions in set notation for the events
Ghulam Ishaq Khan Institute of Engineering Sciences & Technology, Topi
Engineering Statistics
ES 202

Spring 2017
PROBLEM SET 3
SPRING SEMESTER 2015
ME 201/ES 202  ENGINEERING STATISTICS
1. Approximately 10% of the glass bottles coming off a production line have serious
flaws in the glass. If ten bottles are randomly selected, find the probability that
more than one