1) Define and elaborate upon the following:
(a) A probability mass function
(b) A cumulative distribution...
1) Define and elaborate upon the following:
(a) A probability mass function
(b) A cumulative distribution function
(c) A discrete uniform distribution
(d) A Bernoulli trial
(e) A Binomial distribution
1) Define and elaborate upon the following:
(a) A probability density function
(b) A Poisson distribution
(c) A hypergeometric distribution
(d) What does the value of a probability density function
denote?
1) Describe and elaborate upon the following
(a) A beta distribution
(b) A joint probability density function
(c) A marginal probability density function
(d) A conditional probability density function
(e) Covariance and correlation between two random variables
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 [?]. You have to consider two sets of
parameters per distribution which can be chosen arbitrarily. The
following steps can be followed: Setp1: 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 [?],...
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 [?]. You have to consider two sets of
parameters per distribution which can be chosen arbitrarily. The
following steps can be followed
using excel 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 [?]. You
have to consider two sets of parameters per distribution which can
be chosen arbitrarily. The following steps can be followed:
Setp1: 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...
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 [?]. You have to consider two sets of
parameters per distribution which can be chosen arbitrarily. The
following steps can be followed: Setp1: 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 [?],...
Given the cumulative distribution of an exponential random
variable find:
The probability density function
Show that it is a valid probability function
The moment generating function
The Expected mean
The variance
Given the cumulative distribution of a gamma random variable
find:
The probability density function
Show that it is a valid probability function
The moment generating function
The Expected mean
The variance
Summarize key data distribution concepts including probability
mass functions (PMF), probability density functions (PDF), and
cumulative distribution functions (CDF). Based on an organization
or any organization you are most familiar with, provide an example
of a PMF, an example of a PDF, and an example of a CDF, based on
the type of data used in the organization. How would you summarize
each of these to someone who is not familiar with each of these
functions?
Summarize key data distribution concepts including probability
mass functions (PMF), probability density functions (PDF), and
cumulative distribution functions (CDF). Based on your organization
or any organization you are most familiar with, provide an example
of a PMF, an example of a PDF, and an example of a CDF, based on
the type of data used in the organization. How would you summarize
each of these to someone who is not familiar with each of these
functions?