The Poisson distribution is very useful in analyzing phenomena which occur randomly in space or time. The number X, of spam phone calls which arrive at my house in an hour can be modeled as a Poisson random variable with parameter ? = 9. The number Y, of
Contingency Table
A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.
Binomial Distribution
Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.
The Poisson distribution is very useful in analyzing phenomena which occur randomly in space or time. The number X, of spam phone calls which arrive at my house in an hour can be modeled as a Poisson random variable with parameter ? = 9. The number Y, of spam phone calls which arrive at my house in 2 hours can also be modeled as a Poisson random variable with parameter
.
a. For our model, what is expected value of X?
b. What is the probability that X = 7?
c. What is the probability that X < 7?
d. What is the probability that X > 7
e. What is the probability that X = 9
f. Y also has a Poisson distribution. What is the parameter
for Y?
g. What is variance of X?
h. What is the standard deviation of X?
i. What is the probability that Y = 9
j. What is the probability that Y > 9?
Add any comments below.
Trending now
This is a popular solution!
Step by step
Solved in 2 steps with 1 images
