Assignments
Assignments
Homework 1: 1.11, 1.12, 1.15, 2.3, 2.9, 2.11, 2.25, 2.45, 2.47, 2.48,
2.54, 2.57
(due Thursday 1/25)
Homework 2: 3.6, 3.8, 3.9, 3.10, 3.13, 3.14, 3.15, 3.16, 3.17, 3.24,
3.26, 3.28
(due Thursday 2/1)
Homework 3: 3.31, 3.32, 3.33, 3.35, 3.43, 3.45, 3.47
and the following problem:
(a) A three-component system is connected in series
so that it operates properly only if all three components operate
properly. The probability of failure for components 1, 2 and 3 is 0.12,
0.09 and 0.11, respectively. Find the probability that the system
fails, assuming the components operate independently of each other.
(b) A system, consisting of two subsystems A and B, is
connected in parallel so that it operates properly as long as at
least one of the subsystems functions properly. Each subsystem has two
components that operate in series (refer to part a). The probability of
failure for each component in the system is 0.1. Assume the components
(and hence the subsystems as well) operate independently of each
other. Find the probability that the system operates properly.
(c) Under the setup of part b, find the probability that exactly one
subsystem fails.
(due Friday 2/2, during recitations)
Homework 4: 4.2, 4.3, 4.5, 4.9, 4.10, 4.14, 4.16, 4.25, 4.26, 4.28
(due Thursday 2/15)
Homework 5: 4.29, 4.47, 4.49, 4.50, 4.52, 4.56, 4.58, 4.60, 4.63,
4.65, 4.67 (due Tuesday 2/27)
Homework 6: 4.69, 4.70, 4.71, 4.84, 4.91, 5.1, 5.3, 5.4, 5.6, 5.7,
5.17, 5.29, 5.32 (due Tuesday 3/6)
Practice problems for the second exam
(not a part of homework 6, no need to submitt them with the other
problems)
ps file,
pdf file
Homework 7: 5.35, 5.38, 5.44, 5.46, 5.50, 5.56, 5.58, 5.79, 5.87
(due Tuesday 3/27)
Homework 8: 17.3, 17.6, 6.4, 6.5, 6.8, 6.9, 6.15, 6.16, 6.25, 6.27
(due Thursday 4/5)
Homework 9: 6.35, 6.41, 6.43, 6.47, 7.15, 7.19, 7.21, 7.26, 7.28, 7.32
(due Thursday 4/12)
Using Minitab for windows for problem 7.15:
1. Generating the random samples:
Calc -> random data -> (specify distribution, uniform, normal or exponential)
generate 500 raws of data (500 the number of random samples)
store in columns C1-C100 (sample size n=100)
Specify the parameters of the distribution
2. Calculate the statistic:
Calc -> Row statistics
Specify statistic of interest (standard deviation for the problem)
input variables C1-C100
store result in C101
use Calc -> Calculator to get the sample variance and store result in
column C102
Finally, C102 contains 500 realizations from the sampling distribution
of the sample variance. Obtain a histogram (Graph -> Histogram) and
numerical measures (Stat -> basic statistics -> display descriptive
statistics) to summarize this sampling distribution.
Discuss and compare the results for the three distributions.
thanos@stat.duke.edu
Last updated 4/5/01