# Determine initial values for X: To do this first generate equally spaced numbers between 0 and 10 (or more if you prefer).

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1. In excel, plot the PMF/PDFand CDF of Poisson, Exponential, and Normal distributions as a function of their parameters (Lambda for Poisson and Exponential – mean and variance for Normal).

a. Determine initial values for X: To do this first generate equally spaced numbers between 0 and 10 (or more if you prefer).

b. Define initial values for parameters: Then use a separate cell with proper name to enter the initial value for parameters:

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i. Lambda=1 for Poisson and Exponential(choose arbitrary initial values if you have more than one parameter; more than one parameter is possible depending on the formula you use).

ii. Mean=1 & variance=2 for Normal

c. Create three sheets: Copy the worksheet twice so you can plot each distribution separately. Name the resulting three worksheets according to the distribution you are plotting inside them.

d. Calculate using excel formulas: Then, in each of the three sheets, calculate the requested values(PDF, PMF, CDF) using excel formulas (you must use excel formulas, instead of calculating things outside).

e. Plot: Use a scatter plot (or other plotting methods that you prefer) to plot two-dimensional graphs for PDF, PMF, and CDFs. Give your graphs and its axes proper names. You should now have 6 graphs – two for each distribution.

f. Now make a copy of each worksheet, and increase the lambda value (first play with different values but ultimately set Lambda to 4). Explain how the distribution changes as lambda increases?