Binomial Distribution X Bin(n, p)
Condence Intervals
Given n trials with independent, dichotomous outcomes, with
probability p of success, the probability of x successes is:
b(x; n, p) =
n!
x
x!(nx)!
Daymanuel Sampson
September 9, 2011
Homework #1
1.3 Orchard Contamination from Insecticides
a. The population of interest to the researchers is any extensively grown crop that
has the possibility of r
36-220 Engineering Statistics and Quality Control Fall 2012
Solutions for Homework 2
1) Section 2.1, Exercise 2 (10 points)
You have a cubic die with the following faces: cfw_1,1,1,2,2,3.
a) The sampl
36-220 Engineering Statistics and Quality Control Fall 2012
Solutions for Homework 1
1) Section 1.2, Exercise 6 (5 points)
The point of this exercise is to get you to think about how outliers aect cal
36-220 Engineering Statistics and Quality Control Fall 2012
Solutions for Homework 12
1) Section 10.5, Exercise 2 (4 points)
a) X is closer to the USL, so
Cpk =
USL X
15.60 15.52
=
= 1.518
3 0.05/2.84
36-220 Spring 2013 36-247
Solutions for Homework 5
1) Section 3.4, Exercise 14 (10 points)
We assume that l and d are independent measurements with uncertainties l = 0.1 and
d = 0.1.
a) We compute R d
36-220 Spring 2013 36-247
Solutions for Homework 9
1) Section 6.3, Exercise 6 (8 points)
We are given that n = 113, p = X/n = 65/113 = 0.575, and po = 0.50. The phrase
can you conclude.diers. implies
36-220 Spring 2013 36-247
Solutions for Homework 7
1) Section 4.11, Exercise 2 (8 points)
Let the rv X represent the thickness of each sheet of paper. Then X Dist(X =
2
0.08,X = 104 ), where the distr
36-220 Spring 2013 36-247
Solutions for Homework 11
1) Section 7.1, Exercise 8(a-c) (6 points)
a) One may compute these quantities with Navidis equation 7.3 (after correction),
but it is far simpler t
36-220 Spring 2013 36-247
Solutions for Homework 8
1) Section 6.1, Exercise 6 (10 points)
We are given that n = 87, X = 15.2, and sX = 1.8, and that we are testing Ho : X 15
vs. Ha : X = 15.
a) The te
36-220 Spring 2013 36-247
Solutions for Homework 10
1) Section 6.6, Exercise 6 (12 points)
We are given that pX = X/nX = 77/365 = 0.211 (participated in cleaning) and pY =
Y /nY = 23/179 = 0.128 (did
Notes Set 1
Visualizing and Describing Data
Reading Assignment: Navidi, Chapter 1
There are three types of lies:
lies, damn lies, and statistics.
attributed to Benjamin Disraeli
1.1
Basic Visualizati
36-220 Spring 2013 36-247
Solutions for Homework 6
1) Section 4.5, Exercise 6 (11 points)
We are given that the rv T N (99.8,0.12 ).
a) We seek P (T > 100). We standardize the rv:
P (T > 100) = 1 P (T
36-220 Spring 2013 36-247
Solutions for Homework 3
1) Section 2.4, Exercise 2 (10 points)
a) P (X 2) = F (3) = p(0) + p(1) + p(2) = 0.4 + 0.3 + 0.15 = 0.85, where p is the pmf
and F is the cdf.
b) P (
1. You have a sample of n = 100 observations from a Weibull distribution with mean X = 20 and
2
variance X = 25. (a) (2 points) What is the (approximate) distribution of X? (Name only; no
parameter va
36-220 Engineering Statistics and Quality Control Fall 2012
Solutions for Homework 1
1) Section 1.2, Exercise 6 (5 points)
The point of this exercise is to get you to think about how outliers aect cal
36-220 Engineering Statistics and Quality Control Fall 2012
Solutions for Homework 3
1) Section 2.4, Exercise 2 (15 points)
a) P (X 2) = F (3) = p(0) + p(1) + p(2) = 0.4 + 0.3 + 0.15 = 0.85, where p i
36-220 Engineering Statistics and Quality Control Fall 2012
Solutions for Homework 5
1) Section 3.4, Exercise 20 (10 points)
We assume that X and Y are independent measurements with uncertainties X =
36-220 Engineering Statistics and Quality Control Fall 2012
Solutions for Homework 9
1) Section 6.3, Exercise 4 (9 points)
We are given that n = 304, p = 0.62, and po = 0.50. Since npo > 10 and n(1 po
36-220 Engineering Statistics and Quality Control Fall 2012
Solutions for Homework 7
1) Section 5.1, Exercise 8 (10 points)
We are given the n = 53, X = 21.6, and s = 3.2. We are in the large-sample l
36-220 Engineering Statistics and Quality Control Fall 2012
Solutions for Homework 8
1) Section 6.1, Exercise 6 (10 points)
We are given that n = 87, X = 15.2, and s = 1.8, and that we are testing Ho
36-220 Engineering Statistics and Quality Control Fall 2012
Solutions for Homework 6
1) Section 4.5, Exercise 4 (9 points)
We are given that X N (2, 9), or that X = 2 and X = 3.
a) After transformatio
36-220 Engineering Statistics and Quality Control Fall 2012
Solutions for Homework 10
1) Section 6.6, Exercise 2 (12 points)
We are given that pX = X/nX = 150/180 = 0.833 and pY = Y /nY = 233/270 = 0.
36-220 Engineering Statistics and Quality Control Fall 2012
Solutions for Homework 11
1) Section 10.2, Exercise 2 (5 points)
The WECO rules are not ordered in the sense that if any rule is violated, i
36-220 Spring 2013 36-247
Solutions for Homework 2
1) Section 2.1, Exercise 2 (10 points)
You have a cubic die with the following faces: cfw_1,1,1,2,2,3.
a) The sample space, showing all possible outc
Notes Set 4
Propagation of Error
Reading Assignment: Navidi, Chapter 3 (skip any sub-sections whose titles includes the
word Dependent)
4.1
Measurement Error
0.2
0.0
0.1
f(x)
0.3
0.4
Lets say that you
a
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Class Notes
38247
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36-220 S Class Notes
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364220 - Spring; 2013 A 136-247 Class Notes
36220 7 Sring 2013 m 36247 Worksheet for Notes S