Question

4. (26 points) Write a function in R Programming that show the Gaussian (Normal) probability distribution: \begin{equation} f_x(x) = \frac{1}{\sqrt{2\pi\sigma}} \exp\left[ -\frac{(x-\mu)^2}{2\sigma^2} \right] \end{equation} For example, if you run this function for mean $\mu$= 50, standard deviation $\sigma$= 10 and x=100, the result will be 1.48672e-07.

          4. (26 points) Write a function in R Programming that show
the Gaussian (Normal) probability distribution:
\begin{equation*}
f_x(x) = \frac{1}{\sqrt{2\pi\sigma}} \exp\left[ -\frac{(x-\mu)^2}{2\sigma^2} \right]
\end{equation*}
For example, if you run this function for mean $\mu$= 50,
standard deviation $\sigma$= 10 and x=100, the result will be
1.48672e-07.

4. (26 points) Write a function in R Programming that show
the Gaussian (Normal) probability distribution:

fx(x) = (1)/(√(2πσ))[ -((x-μ)^2)/(2σ^2)]

For example, if you run this function for mean μ= 50,
standard deviation σ= 10 and x=100, the result will be
1.48672e-07.

Added by Mark J.

Computer Science and Information Technology

Trishna Knowledge Systems 2018 Edition

Instant Answer

Solved by Expert Melissa Munoz

01/19/2023

Step 1

This function calculates the probability density function (PDF) of a normal distribution. Show more…

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Text: 0.26 points Write a function in R Programming that shows the Gaussian (Normal) probability distribution: 2a2 For example, if you run this function for mean u = 50, standard deviation o = 10, and x = 100, the result will be 1.48672e-07. 4