Prob. 4 (Gaussian Distribution) Consider a standard Gaussian random variable with probability density function given by 1 fx(x) = еxp V2n - c0

Prob. 4 (Gaussian Distribution)<br>Consider a standard Gaussian random variable with probability density function given by<br>1<br>fx(x) =<br>еxp<br>V2n<br>- c0 <x < 00<br>fx(x)<br>-4 -3 -2 -1 0<br>1<br>2 3 4<br>Probability<br>Theory<br>Simulation<br>P(-0.5 < x S 0.5)<br>P(-1SX< 1)<br>P(-1.5 < x S 1.5)<br>P(-2< X < 2)<br>P(-2,5 < x S 25)<br>P(-3S X S 3)<br>P(-3,5 < X < 3.5)<br>P(-4 < X S 4)<br>Mean<br>Variance<br>Mode<br>Median<br>

Extracted text: Prob. 4 (Gaussian Distribution) Consider a standard Gaussian random variable with probability density function given by 1 fx(x) = еxp V2n - c0 < 00="" fx(x)="" -4="" -3="" -2="" -1="" 0="" 1="" 2="" 3="" 4="" probability="" theory="" simulation="" p(-0.5="">< x="" s="" 0.5)="">< 1)="" p(-1.5="">< x="" s="" 1.5)="">< x="">< 2)="" p(-2,5="">< x="" s="" 25)="" p(-3s="" x="" s="" 3)="" p(-3,5="">< x="">< 3.5)="" p(-4="">< x="" s="" 4)="" mean="" variance="" mode="">

Jun 09, 2022

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Prob. 4 (Gaussian Distribution) Consider a standard Gaussian random variable with probability density function given by 1 fx(x) = еxp V2n - c0

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