Probability & Statistics

Probability & Statistics

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New and Used Probability/Statistics Books

 McGraw-Hill's 500 Statistics Questions  Fifty Challenging Problems in Probability with Solutions  Probability Through Problems (Problem Books in Mathematics)  Statistics: Problems and Solutions  Problems in Probability Theory, Mathematical Statistics and Theory of Random Functions  Probability and Mathematical Statistics  Probability and Statistics

Probability and Statistics  Schaums Outline of Statistics, Fourth Edition  Probability and Statistics  Introduction to Probability and Statistics  Probability and Statistics for Engineers  Elements of Probability and Statistics

Elements of Probability and Statistics (Probability  &  Statistics)   Probability and Statistics   Applied Statistics with Probability   Probability & Statistics Workbook   Probability and Statistics for Finance

ALGEBRA-Functions plus Statistics  &  Probability  Fundamentals of Probability and Statistics for Engineers  Applied Statistics and Probability for Engineers  Student Solutions Manual to accompany Introduction to Probability and Statistics  Probability and Statistics Applications for Environmental Science  Basic Probability Theory

 

Electronic Probability/Statistics Books

Probability  Probability  Probability  EVERYDAY PROBABILITY AND STATISTICS  Probability and Mathematical Statistics  Probability and Statistics Workbook  Probability  Probability, Statistics and Econometrics

 Multivariate Statistics and Probability  Probability and Statistics  Probability and Statistics  Statistics and Probability Theory  Problems in Probability  Fifty Challenging Problems in Probability with Solutions  Classic Problems of Probability

 Statistics  Fundamentals of Probability and Statistics for Engineers  Probability and Statistics Applications for Environmental Science  Statistics and Probability in High School  Probability and Statistics by Example: Volume 1, Basic Probability and Statistics  Probability Theory  McGraw-Hill's 500 Statistics Questions

Examples and Solutions

Probability: A coin is tossed twice.
  (a) Indicate a sample space for this experiment.
  (b) Indicate also a sample space for the number of heads obtained.

Solution 
(a)
 A coin has two sides, heads and tails. If the coin is tossed once, then either H (heads) or T (tails) could occur. If it is tossed
     twice, both heads could occur. Both tails could occur also. Likewise, either heads or tails could occur on either toss. The
     appropriate sample space 
S for this experiment would be the set of possible outcomes, being S = {TT, HH, TH, HT}. Both
     letters together represent the possibilities of the first and second toss.

(b)
 For the number of heads, there could be 1 (one) on the first toss and 1 on the second, making it 2 heads. There could also be
    
on the first and 0 (none) on the second. Vice versa, there could be 0 on the first and 1 on the second. There could even be 0
    on both tosses. 
The sample space then for this would be S = {2, 1, 0}. 
 

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