Question

Consider an event that will either occur or not. For example, the
event might be that California will experience a major earthquake
in the next five years. You let p be the probability that the event
will occur. Does it make any sense to have a probability
distribution of p? Why or why not? If so, what might this
distribution look like? How would you interpret it?

Answer #1

**Solution:**

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Consider randomly selecting a student at a large university, and
let A be the event that the selected student has a Visa
card and B be the analogous event for MasterCard. Suppose
that
P(A) = 0.7 and P(B) = 0.4.(a)
Could it be the case that P(A ∩ B) = 0.5? Why or why not?
[Hint: For any two sets A and B if
A is a subset of B then P(A) ≤ P(B).]
C) What is the probability that...

Consider randomly selecting a student at a certain university,
and let A denote the event that the selected individual has a Visa
credit card and B be the analogous event for a MasterCard where
P(A) = 0.45, P(B) = 0.45, and P(A ∩ B) = 0.30. Calculate and
interpret each of the following probabilities (a Venn diagram might
help). (Round your answers to four decimal places.) (a) P(B | A)
(b) P(B' | A) (c) P(A | B) (d) P(A'...

Consider the experiment of randomly selecting an adult American.
Let A be the event that a person has the disease and let B be the
event that a person tests positive for the disease.
(a) There are three probabilities given above. Give each of them
in terms of the events A and B.
(b) In terms of the events A and B, what probability is it that
we wish to compute? Give the correct “formula” for computing that
probability
(c)...

1- Your final grade might be A, B, C, D, or F. So, it has five
possible outcomes.
a) Rewrite the outcomes of your final grade in a way to make it
a Bernoulli experiment. You must define the success and failure in
this experiment very well. Also, assign a number to p, which is the
probability of success.
b) Define another Bernoulli experiment based on the outcomes of
your grade and again assign a number to the probability of...

1- Your final grade might be A, B, C, D, or F. So, it has five
possible outcomes.
a) Rewrite the outcomes of your final grade in a way to make it
a Bernoulli experiment. You must define the success and failure in
this experiment very well. Also, assign a number to p, which is the
probability of success.
b) Define another Bernoulli experiment based on the outcomes of
your grade and again assign a number to the probability of...

Discrete Random Variables have either a finite or countable
number of values.
True
False
An example of continuous variables is bushels of wheat per
acre.
True
False
The Mean Value of a discrete probability distribution (denoted
by mu is a weighted average of the x-values AND represents the
average values of all possible outcomes.
True
False
Explain why in a binomial probability distribution, p + q =1.
Make one sentence work.

1. The probability that a student has a Visa card (event V) is
0.30. The probability that a student has a MasterCard (event M) is
0.40. The probability that a student has both cards is 0.12. (1)
Find the probability that a student has either a Visa card or a
MasterCard. (2) In this problem, are V and M independent? Why?
2.
This is a contingency table describes 100 business students.
Gender
Major
Female(F)
Male(M)
Accounting (A)
22
28
Economics(E)...

pick
at least 2 senses to focus on (either: sight; smell; touch; hearing
or taste) and see what you can discover. For Example: Even
examining a strawberry is interesting if you really look at it,
take it apart and notice the patterns, design, smell and taste of a
piece of fruit which many of you eat.
Next
do one of the other walks with a theme. See what you notice and
what you discover.
So
for this activity:
1.
Spend...

If you have not already done so, make sure to review the content
covered in the following sections. 6.1 Interactive Assignment
Section 6.1 Homework 6.2 Interactive Assignment Section 6.2
Homework Now that you have had a chance to review the content
covered so far, take a moment to reflect upon what you have learned
and post in this discussion board below. Consider one or two of the
following statements in your post: Provide a real life
example that pertains to...

8. The Probability Calculus - Bayes's Theorem
Bayes's Theorem is used to calculate the conditional probability
of two or more events that are mutually exclusive and jointly
exhaustive. An event's conditional probability is the probability
of the event happening given that another event has already
occurred. The probability of event A given event B is expressed as
P(A given B). If two events are mutually exclusive and jointly
exhaustive, then one and only one of the two events must occur....

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