Normal distribution and intro to continuous probability density functions

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    01-Jan-2016
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Transcript of Normal distribution and intro to continuous probability density functions

  • Normal distributionand intro to continuous probability density functions...

  • Discrete DistributionMean = np = 10 x 0.5 = 5

  • As a Histogram(Area of rectangle = probability)

  • Decrease interval size...

  • Decrease interval size more.Almost a nice continuous curve

  • Continuous probabilitydensity functionsThe curve describes probability of getting any range of values, say P(X > 60), P(X
  • Characteristics of normal distributionSymmetric, bell-shaped curve.Shape of curve depends on population mean and variance 2.Center of distribution is .Spread is determined by .Most values fall around the mean, but some values are smaller and some are larger.Probabilities are from area under the curve

  • The Normal DistributionWRITTEN : which means the continuous random variable X is normally distributed with mean and variance 2

  • Examples of normalrandom variables

  • Properties of Normal Distribution