Question

- Provide an example scenario of a binomial random variable
**that is related to your area of work****or interest**(first, you need to describe your work or area of interest!) and explain**clearly**how each requirement for the binomial distribution is satisfied. You can use the following questions as guides to provide your example.

- Describe briefly your work or area of interest.
- Describe a situation related to your work or area of interest with a binomial random variable. Clearly state what the random variable is and what values it can take.
- Explain clearly how each of the requirements for the binomial distribution is satisfied in your example.

Answer #1

Provide an example that follows either the binomial or Poisson
distribution, and explain why that example follows that particular
distribution. In your responses to other students, make up numbers
for the example provided by that other student, and ask a related
probability question. Then, show the work (or describe the
technology steps), and solve that probability example.

In each situation, is it reasonable to use a binomial
distribution for the random variable X? If the situation is not
reasonable for a binomial distribution, select the correct
statement that explains why.
(a) An auto manufacturer chooses one car from each hour's
production for a detailed quality inspection. One variable recorded
is the count X of finish defects (dimples, ripples, etc.) in the
car's paint. Is it reasonable to use a binomial distribution for
the random variable X? Select...

1)Discuss how you can tell the difference between a
Binomial random variable and a Poisson random variable
2)Discuss how to calculate probabilities for
continuous random variables.
3)Give three interpretations for the area under a
normal curve.
4)Discuss what a normal probability plot is used for
and how it is used.

Suppose you wanted to generate a sample of random variable
following binomial distribution with N=5 and p=0.2, but you only
have access to random number generator following continuous uniform
distribution between 0 and 1. How would you do this? (Provide two
solutions)

Looking at the Binomial and Hypergeometric situations, list and
describe the similarities and differences in the following
solutions.
For each of the situations below, answer the following:
Referring to your criteria for selecting a probability
distribution, what distribution would be used?
Change the scenario so that the other distribution would be
used. For example, if it is Binomial, change to
Hypergeometric.
Scenario 1:
Your manager at work is giving away tickets for the local Lacrosse
game. She has 10 tickets: 4 in...

Provide an example of a probability distribution of discrete
random variable, Y, that takes any 4 different integer values
between 1 and 20 inclusive; and present the values of Y and their
corresponding (non-zero) probabilities in a probability
distribution table.
Calculate:
a) E(Y)
b) E(Y2 ) and
c) var(Y).
d) Give examples of values of ? and ? , both non-zero, for a
binomial random variable X. Use either the binomial probability
formula or the binomial probability cumulative distribution tables...

a) Provide a real life example scenario for a paired-samples
t-test that includes sample data for N = 4 in each
condition. Do not only present the numbers; you need a reasonable
example of something that could be tested with a paired-samples
t-test.
b) Explain why your example is appropriate for a paired-samples
t-test.
c) Conduct the paired-samples t-test (two-tailed test
with an alpha of .05), showing your work for each step.

Statistics
Q1) Provide an example of a continuous variable and discrete
variable.
Q2) A school teacher wants to survey students at her elementary
school. She surveys 20 students from each grade level. What type of
sampling technique she is using?
Q3) Which Method? The mathematics department at a university wishes
to administer a survey to
a sample of students taking college algebra. The department is
offering 32 sections of college algebra, similar in class size and
makeup, with a total...

Give an example, USING YOUR OWN WORDS (NOT TEXT COPIED FROM THE
INTERNET), of how either the Poisson or the Exponential
distribution could be used to model something in real life (only
one example is necessary). You can give an example in an area that
interests you (a list of ideas is below). Give a very rough
description of the sample space.
If you use an idea from another source, please provide a citation
in the sentence and a reference...

For the standard normal random variable z, find
z for each situation. If required, round your answers to
two decimal places. For those boxes in which you must enter
subtractive or negative numbers use a minus sign. (Example:
-300)'
a. The area to the left of z is 0.1827. z
=
b. The area between −z and z is 0.9830.
z =
c. The area between −z and z is 0.2148.
z =
d. The area to the left of...

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