Handbook of Civil Engineering Calculations

Contents xxix

Binomial Probability Distribution ................................... 9.87

Pascal Probability Distribution ...................................... 9.88

Poisson Probability Distribution .................................... 9.89

Composite Event with Poisson Distribution .................. 9.90

Normal Distribution ...................................................... 9.90

Application of Normal Distribution ................................ 9.92

Negative-Exponential Distribution ................................ 9.93

Sampling Distribution of the Mean ................................ 9.96

Estimation of Population Mean on Basis of Sample

Mean .................................................................. 9.97

Decision Making on Statistical Basis ............................ 9.98

Probability of Accepting a False Null Hypothesis .......... 9.100

Decision Based on Proportion of Sample ..................... 9.101

Probability of Accepting an Unsatisfactory

Shipment ............................................................ 9.102

Device with Negative-Exponential Life Span ................ 9.104

Correspondence between Poisson Failure and

Negative-Exponential Life Span ......................... 9.106

Probability of Failure during a Specific Period .............. 9.106

System with Components in Series .............................. 9.107

System with Components in Parallel ............................ 9.107

System with Identical Components in Parallel .............. 9.108

Analysis of Composite System by Conventional

Method ............................................................... 9.109

Analysis of Composite System by Alternative

Method ............................................................... 9.110

Analysis of System with Safeguard by Conventional

Method ............................................................... 9.112

Analysis of System with Safeguard by Alternative

Method ............................................................... 9.113

Optimal Inventory to Meet Fluctuating Demand ............ 9.115