3. The Normal Distribution X-N (u, 02) x The Normal distribution the distribution of a continuous rv whose value depends on a number of factors, yet no single factor dominates the other 1. Properties of the normal distribution 1)The normal distribution curve is symmetrical around its mean value. 2) The PdF of the distribution is the highest at its mean value but tails off at its extremities 3)μ土σ68% u±2o95% μ士30997% 4)A normal distribution is fully described by its two parameters: A and g23.1 The Normal Distribution X～N（μ，σ 2） The Normal Distribution: the distribution of a continuous r.v. whose value depends on a number of factors, yet no single factor dominates the other. 1. Properties of the normal distribution: 1) The normal distribution curve is symmetrical around its mean valueμ. 2) The PDF of the distribution is the highest at its mean value but tails off at its extremities. 3) μ±σ 68%; μ±2σ 95%; μ±3σ 99.7%. 4) A normal distribution is fully described by its two parameters: μ and σ2