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Continuous distributionsViktor Khanzhyn
Main difference from the discretedistributions•Probability function is not showing probabilities directlyanymore•Probability of X taking a specific value is zero•Probabilities are commonly defined for an interval ofvalues X can take•Instead of summations use integrals (but we won’t dothat!)
Cumulative•Cumulative probability function:00.20.40.60.8184.108.40.2060.20.40.60.811.2FX(x)P(Xx)
Probability•Probability of X taking a valuebetween a and b (a<b) :PX(aXb)FX(b)FX(a)PX(aXa)FX(a)FX(a)0PX(aXb)PX(aXb)PX(aXb)PX(aXb)
Probability density function00.050.10.150.220.127.116.110.40.45fX(x):fX(x)0PX(aXb)fX(x)abdx