Can you alway compute the probability of an event?

What is the probability that you will receive an "A" grade?
Explain the factors you have used in arriving at this probability assessment.
Do you believe that all students in your class will arrive at the same probability assessment that you have? Why or why not?
Explain what is meant by subjective probability. Research the Internet, and provide a business-related example in which subjective probability assessment would likely be used (be sure to cite your sources).
Provide an example of when you have personally used subjective probability assessment or how you might use it in the future.

--------
The discussion includes not only the statistics explained, but gives the student an actual way to determine their probability of getting an A using internet data.

This solution discusses how to compute probability of random events (classic statistics) and then explains how this is different than subjective probability. Examples are given to show the student. The example includes discussing how to figure the probability of getting an A in a class. This has no references and is an example to help you "get the idea" but not a textbook-type tutorial on probabilities.

Solution Preview

To figure this out, you need to review the rules of probability. The probability of an event is the number of times it is expected to occur / total number of possible events. If you have a jar of 100 marbles and 60 of them are blue, what is the probability of getting a blue marble if you just pick one at random? 60/100 = 60%

Will you get an A? What can you do? Perhaps you can look at your prior grades...how many times did you get As as the numerator and total number ...

Solution Summary

This solution discusses how to compute probability of random events (classic statistics) and then explains how this is different than subjective probability. Examples are given to show the student. The example includes discussing how to figure the probability of getting an A in a class. This has no references and is an example to help you "get the idea" but not a textbook-type tutorial on probabilities.

2. For the following table, what is the value of :
a) P(A1)
b) P(B1│A2)
c) P(B2 and A3). Compute this as P(B2)*P(A3│ B2) . In what row and column will you find this answer? Rows are B1 & B2: columns are A1, A2 & A3.
Second Event
First Event
A1 A2 A3 Total
B1 2 1 3 6
B2 1 2 1 4

Let A and B be events, both having positive probability.
Show that if P(A|B) > P(A), then P(B|A) > P(B).
We know the following definitions:
Conditional Probability:
Theprobability of event B given event A is P(B|A)=P(AandB)/P(A)
Theprobability of event A given event B is P(A|B)=P(Aand B)/P(B)
Independent Events:
T

1. You possess a 'standard deck of playing cards' (n = 52). First,
(a) identify theprobability of selecting a spade, club, or heart. Second,
(b) calculate theprobability of selecting a spade, heart, diamond, or face card. Identify
(c) theprobability of selecting (in sequence) a two and a red jack (assuming that the fi

See attachment for data.
What is theprobability that the student is a junior and makes a B in the course?
What is theprobability that the student does not make a A in the course, given that the student is a senior?
What is theprobability that the student makes a D or F in the course?
Let A be the event t

Suppose that two teams that meet in the world series are closely matched: the better team wins a given game with a probability of .55. What is theprobability that the better team will win the World Series? Treat the games as tosses of a biased coin. Express the event "the better team wins" in terms of elementary Bernoulli event

Outcomes and event probability
Suppose that the genders of the three children of a family are soon to be revealed. An outcome is represented by a string of the sort GBB (meaning the oldest child is a girl, the second oldest is a boy, and theyoungest is a boy). The outcomes are listed in the table below. Note that each outcom

Theprobability distribution for the random variable x is as follows
x is 20 25 30 35
f(x) is .20 .15 .25 .40
a. Is this probability distribution valid? Explain.
b. What is theprobability that x=30?
c. What is theprobability that x is less than or equal to 25?
d. What is theprobability that x is greater than 30?