# Plot the Probability Density Functions Using MATLAB

Question

Let X be a continuous random variable, plot the probability density function f(x) if

• X is an exponential distribution, X ~ Exp (λ), λ
• X is a normal distribution, X ~ N ( µ, 2), where ( µ, 2) are from {(-1,1), (0,1), (1,1), (0,4), (0,16)}.

For each of those two cases, you have to plot multiple curves, one for each of the probability density functions when the parameter is _xed. For example, for the exponential distribution, you have to plot the probability density functions for Exp(0:5);Exp(1);Exp(2).

Please use different colors (e.g., red, blue, black) for those curves and put those curves in one figure. Please analyze those curves in this figure and draw a conclusion for how does the curve changes when we increase (or decrease) the parameter value.

1. MATLAB codes, which should be put in script _les (.m);

2. Two figures, which should be in eps format (.eps);

3. Two observations (conclusions), which should be in a plain text _le (.txt).

Summary

This question belongs to MATLAB software and discusses about application of MATLAB to probability and statistics and to plot the probability density functions of given data.

### Comments

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• Cristina

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• Janete

Hello Allison,I love the 2nd image that you did! I also, had never heard of SumoPaint, is something that I will have to exolpre a bit! I understand completely the 52 (or so) youtube videos that you probably watched. Sometimes they have what you want, sometimes they don't! However, it is always satisfying when you are able to produce something that you have taught yourself. Great job!Debra 0 likes

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• Giuseppe

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