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9789810242930

Statistics : Problems and Solutions

by ; ; ; ; ; ;
  • ISBN13:

    9789810242930

  • ISBN10:

    981024293X

  • Edition: 2nd
  • Format: Hardcover
  • Copyright: 2000-06-01
  • Publisher: WORLD SCIENTIFIC PUB CO INC
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Supplemental Materials

What is included with this book?

Summary

Contents include probability and random variables, probability distributions, data summarization and goodness-of-fit, inference, analysis of structured data, and more. Previous edition: c1986.

Table of Contents

Preface v
Probability and Random Variables
1(46)
Probability
1(24)
The wellington boots
2(2)
Dealing four cards
4(3)
The school assembly
7(3)
The second card
10(1)
A birthday coincidence
10(4)
Winning at craps
14(2)
The fisherman
16(2)
Testing lightbulbs
18(1)
Designing a navigation system
19(1)
The sports club
20(4)
Playing the fruit machine
24(1)
Random Variables
25(22)
The highest score in a dice game
26(1)
The total score from two dice
27(3)
Selecting balls from an urn
30(2)
The game of darts
32(3)
The randomised response experiment
35(1)
Finding a probability density function
36(1)
Positioning the pointer
37(2)
Finding the mode and median of a distribution
39(2)
Buffon's needle
41(2)
Transforming a random variable
43(2)
Length of a chord of a circle
45(2)
Probability Distributions
47(48)
Discrete Distributions
47(23)
The squash match
48(1)
Sampling incoming batches
49(2)
Sampling for defective items
51(1)
The music recital
52(2)
Marking a multiple-choice test
54(1)
The insect breeding experiment
55(2)
The telephone exchange
57(2)
Random sultanas in scones
59(2)
Relationship between binomial and Poisson distributions
61(2)
Tossing a coin until `heads' appears
63(2)
Estimating the size of a fish population
65(2)
Collecting cigarette cards
67(3)
Continuous Distributions
70(18)
The slippery pole
70(1)
Mixing batches of pesticide
71(1)
Tolerances for metal cylinders
72(2)
The number of matches in a box
74(1)
Fitting plungers into holes
75(2)
Bird wingspans
77(1)
Distributions related to the Normal
78(1)
Failures of belt drives
79(2)
Guaranteed life of a machine
81(1)
Watch the birdie
82(3)
Breaking a rod at random
85(3)
Simulating Random Variables
88(7)
Simulating random variables
88(2)
Using dice to obtain random numbers
90(2)
Ants on flower heads
92(3)
Data Summarisation and Goodness-of-Fit
95(25)
Data Summarisation
95(10)
The weights of club members
96(4)
Histogram for catches of fish
100(2)
Distribution of examination marks
102(1)
Consumption of cigarettes
103(2)
Goodness-of-Fit
105(15)
Numbers of sixes in dice throws
106(1)
The occurrences of thunderstorms
107(3)
The distribution of I.Q.
110(3)
Frontal breadths of skulls
113(2)
Rotating bends
115(2)
Distribution of accidents in a factory
117(3)
Inference
120(56)
One Sample: Normal Distribution
120(10)
Lengths of manufactured bolts
121(2)
Lifetimes of electrical components
123(2)
The diameters of marbles
125(1)
Variability in weight of bottled fruit
126(1)
Changes in weight of manufactured product
127(2)
Estimating the mean and variance
129(1)
Two Samples: Normal Distribution
130(15)
Weights of tins of peas
130(4)
Experimental teaching of arithmetic
134(2)
Milk yield of cows
136(3)
Speeding up mathematical tasks
139(2)
Peeling potatoes faster
141(2)
Estimating a ratio
143(2)
Binomial and Poisson Distributions
145(13)
The pink and white flowers
145(1)
Distinguishing between brands of cheese
146(1)
Women investors in building societies
147(3)
Are telephone numbers random?
150(1)
Smoking in public places
151(1)
Smoking habits of history and statistics teachers
152(3)
Ignition problems in cars
155(1)
Modifying an accident black spot
156(2)
Other Problems
158(18)
Sampling bags of apples
158(2)
Two discrete random variables
160(3)
Mean square error of estimators
163(1)
Arrivals at a petrol station
164(3)
Confidence intervals for an exponential distribution
167(2)
Glue sniffers
169(3)
Quality control for bolts
172(2)
A control chart for mass-produced articles
174(2)
Analysis of Structured Data
176(41)
Regression and Correlation
176(18)
The numbers of pensioners
177(4)
Graduate unemployment
181(2)
Regression for several sets of data
183(3)
Inflation, money supply and dysentery
186(2)
Correlation between height and weight
188(2)
Judging a beauty contest
190(4)
Analysis of Variance
194(8)
Relationship between quality and temperature
194(2)
The rubber content of guayule plants
196(3)
The quality of electronic components
199(3)
Contingency Tables
202(8)
The value of rainfall forecasts
202(1)
A survey of exercise habits
203(2)
Sex ratios of insects
205(5)
Time Series
210(7)
The electricity consumption of a Canadian household
210(3)
Turning points in a time series
213(4)
Index 217

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