Answer to Question #255751 in Statistics and Probability for zmm

Question

using EXCEL.

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.).

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:

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.

Answer 1

1.

binomial distribution:

2.

Poisson distribution:

3.

geometric distribution:

Variability refers to how spread scores are in a distribution out; that is, it refers to the amount of spread of the scores around the mean. 

Analysing three data sets, we can conclude set 1 with minimal standard deviation has minimal variability, and set 2 with maximal standard deviation has maximal variability.