Plot the probability mass function (PMF) and the cumulative distribution function (CDF) of 3 random variables...

 

Transcribed Image Text:

Plot the probability mass function (PMF) and the cumulative distribution function (CDF) of 3 random variables each following (1) binomial distribution [p, n], (2) a geometric distribution [p], and (3) Poisson distribution [2]. 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 [^], (21 and 22) 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 2] 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. Plot the probability mass function (PMF) and the cumulative distribution function (CDF) of 3 random variables each following (1) binomial distribution [p, n], (2) a geometric distribution [p], and (3) Poisson distribution [2]. 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 [^], (21 and 22) 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 2] 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 rating: 100% (QA)

To solve these problems using constrained optimization and the Lagrange multiplier method we need to ... View the full answer