Department of Statistics, College of Administration and Economics, University of Baghdad, Baghdad, Iraq
Abstract
This study uses the Lognormal distribution to assess the reliability of deturbidity and the level of residual chlorine in the water of Al Rashidiya Water Center in Baghdad, Iraq. The maximum likelihood method was used for estimating distribution parameters in the MATLAB program, and the Kolmogorov-Smirnov test for Goodness of Fit was applied at a significant level of 0.05. It was concluded that the average turbidity was 9.389 and the average was 9, which is within the legal range, the average chlorine was 0.0296 and the average was 0.03 which is well below the permissible level. The study also discovered that the average effectiveness of deturbation was 71.764%, which is sufficient but should be improved. the reliability for deturbation was 100% and for the residual chlorine 0.96, suggesting that the Rashidiya Water Center was reliable during the research period. The researchers recommend conducting frequent inspections of water treatment facilities and plants in Iraq and comparing failure distributions to determine the optimal distribution of all water impurities.
Keywords: Reliability, Efficiency, Lognormal Distribution, Maximum likelihood Estimator, Water Treatment Center.
