IE 3302 Chapter : Ch6S
Document Summary
October 22, 2009 topics (cid:121) uniform distribution (cid:121) normal distribution: area under normal curve, using the normal table, standard normal distribution (cid:121) normal distribution problem types (cid:121) application problems using normal distribution. Uniform distribution (continuous) (cid:121) all outcomes have the same probability: equally likely , just as likely , equal probability , rectangular distribution (cid:121) density function: f x a b (cid:121) mean: 2 e x (cid:121) mean: (cid:121) variance: 2. Properties of normal distribution: mode at x = , curve is symmetric about the vertical axis at, curve has points of inflection at x = + . Concave downward if < x < + . Standard normal (cid:121) note: integrating the density function to find the probability over a certain range is not possible (cid:121) need to standardize each distribution to use the provided tables z x. Examples from anthropometry (cid:121) percentiles used to describe measurements of humans: usually smallest is 5th percentile, average is.
to the vertical by a rod BCof a circular cross-section, forming an angle of 
with the beam.
=400MPa and the safety factor S.F.= 2 ;
