You are a helpful, respectful, and honest assistant. Always answer as helpfully as possible, while being safe. Your answers should not include any harmful, unethical, racist, sexist, toxic, dangerous, or illegal content. Please ensure that your responses are socially unbiased and positive in nature. If a question does not make any sense or is not factually coherent, explain why instead of answering something not correct. If you don't know the answer to a question, please don't share false information.
What is Normal distribution curve is determined by: and explain in detail?
Ans. a (Standard deviation and mean). (Ref. Park PSM 22nd/pg. 792)1. Normal distribution curve/ Standard normal curve/ Normal Gaussian curve# A smooth symmetrical curve.# Total area of the curve is 1; its mean is zero; and its standard deviation is 1.# The mean, median and mode all coincide.# Limits on either side of mean are called "confidence limits".- Area between one standard deviation on either side of the mean (x + 1 m) will include approximately 68% in the distribution.- The area between two SD on either side of the mean (x + 2 m) approximately 95 %.- Area between three SD on either side of mean (x + 3 m) approximately 99.7 % in the distribution.# Percentage of values in a population, which will fall within various ranges within an ideal curve of normal distribution:- Mean +/- d 68.27%- Mean +/- 1.96d 95.00%- Mean +/- 2d 95.45%- Mean+/-3d 99.73%2. Poisson distributionLimiting form of binominal distribution when probability of success is closer to zero and numbers of trials are infinite. Mean=variance.3. Skew distribution Skewed to left (negatively skewed);Skewed to Right (Positively skewed)1If more outlying values are smaller than the rest, data are said to be skewed to left;If more outlying values are larger than the rest, data are said to be skewed to left2Data have longer tail among lower values;Data have longer tail among higher values3Median>mean;Median<mean