Generate the random variables at least 10 values column 1

Question

Exercise 1:

Collect and Comment on the variability of three recent data sets describing similar processes (could be prices of three items over the last month, demographic information related to 3 countries over last year, etc.).

Exercise 2:

Plot the probability mass function (PMF) and the cumulative distribution function (CDF) of 3 random variables following (1) binomial distribution [p,n], (2) a geometric distribution [p], and (3) Poisson distribution [λ]. You have to consider two sets of parameters per distribution which can be chosen arbitrarily. The following steps can be followed:

Step 1: Establish two sets of parameters of the distribution: For Geometric and Poisson distributions take two values of p (p1 and p2) and take two values of [λ], (λ1 and λ2) respectively. For the binomial you should take two values of p and two values of n, first keep p fixed and change n, in the second keep n fixed and change p.

Step 2: Generate the random variables (at least 10 values) [column 1]

Step 3: Calculate the PMF [column 21 and CDF [column 3]

Step 4: Plot the PMF and CDF in different graphics (It is recommended to combine the graphics while changing the parameters).

Comment on how the parameters values affect the distribution.

Answer 1

The basic assignment is to plot the probability mass function and the cumulative distribution function by 3 arbitrary variables: binomial distribution, geometric distribution and Poisson distribution. To perform the task, you have to follow the given steps: Step 1: Set up the two sets of parameters of distribution: For Geometric and Poisson distributions consider two values of p (p1 and p2) and take 2 values of [?], (?1 and ?2) correspondingly. For binomial you must take 2 values of ‘p’ and 2 values of n, first keep ‘p’ fixed and change ‘n’, in the second keep ‘n’ fixed and change ‘p’. Step 2: Create the random variables (minimum 10 values) [column 1] Step 3: Compute the PMF [column 21 and CDF [column 3] Step 4: Plot PMF and CDF in various graphics (This is suggested to join the graphics as changing the parameters). Remark on how the parameters values influence the distribution.