Mathegoras

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Normal density at a point

High school · ●○○○○ 10 pts

Find P(x)P(x) for the normal distribution with mean μ=2\mu = 2 and standard deviation σ=3\sigma = 3 at x=5x = 5, using P(x)=12πσ2 e−(x−μ)2/(2σ2).P(x)=\frac{1}{\sqrt{2\pi\sigma^2}}\,e^{-(x-\mu)^2/(2\sigma^2)}. Use π≈3.14\pi \approx 3.14. Round to four decimal places.

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probability density functions