Prob. 4 (Gaussian Distribution) Consider a standard Gaussian random variable with probability density function fx(x) = exp - 00

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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 <x < 00
fx(x)
-4 -3 -2 -1 0
1
2 3 4
Probability
Theory
Simulation
P(-0.5 < x S 0.5)
P(-1SX< 1)
P(-1.5 < x S 1.5)
P(-2< 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
Median
Transcribed Image Text:Prob. 4 (Gaussian Distribution) Consider a standard Gaussian random variable with probability density function given by 1 fx(x) = еxp V2n - c0 <x < 00 fx(x) -4 -3 -2 -1 0 1 2 3 4 Probability Theory Simulation P(-0.5 < x S 0.5) P(-1SX< 1) P(-1.5 < x S 1.5) P(-2< 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 Median
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