Plot beta distribution and label it as prior

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Reference no: EM132336172

Project: R code for the following items.

Question 1: Plot the following probability density functions (PDFs) in one chart and label them

1. Plot (use a black line) beta distribution (350,15) and label it as Prior ∼ Beta(350,15).

2. Plot (use a red line) beta distribution (538,192) and label it as Posterior ∼ Beta(538,192).

3. For the "2" above, please provide the 95% highest probability density (HPD) intervals in R code and show the area in the plot.

Note:

Label x axis as θ.

Label y axis as PDF.

Make sure the fonts are in right size and clear.

Please provide the pic in png format and the R codes.

Question 2: 1. Plot the following PDF in another different chart: Beta-Binomial (365,538,192)

This is the Beta-Binomial distribution.

Note:

Label x axis as EF (d).

Label y axis as PDF.

Make sure the fonts are in right size and clear.

Please provide the pic in png format and the R codes.

2. Use R to generate the cumulative distribution function (CDF) of the Beta-Binomial (365,538,192) (i.e., the PDF in "1" above) and plot the CDF in another different chart:

Note:

Label x axis as EF (d).

Label y axis as CDF.

Make sure the fonts are in right size and clear.

Please provide the pic in png format and the R codes.

Reference no: EM132336172

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