# apu math302 full course [ all forums all quizes midterm and final ]

September 28, 2018

forumsweek 4
Suppose that a class contains 15 boys and 30 girls, and that
10 students are to be selected at random for a special assignment. Find the
probability that exactly 3 boys will be selected.

Keep in mind that your post must be made by 11:55PM EASTERN
time on Wednesday during the week in which a discussion question is posed. I
will evaluate your responses to each of these questions using a 0 to 10 point
scale, and your contribution to each of the five Discussion Forums will count
as 2 percent of the overall course grade for a total of 10 percent.

My evaluation of your post will be based on the extent to
which you participated and fostered a positive and effective learning
environment–for yourself and others. Participating and sharing are the keys.
Naturally, simply copying someone else’s post is prohibited. Your post should
regarding the rationale for the approach you utilized. Simply listing an answer
is of no real value in promoting a discussion.

To make a post to this week’s Discussion Forum, click on the
Counting Isn’t Always Easy link, then click Start a New Conversation. In the
title block of the dialog box that appears insert your first and last name;
compose your post in the message box; and then click Post Message.

week 6

Suppose that the percentage annual return you obtain when
you invest a dollar in gold or the stock market is dependent on the general
state of the national economy as indicated below. For example, the probability
that the economy will be in “boom” state is 0.15. In this case, if
you invest in the stock market your return is assumed to be 25%; on the other
hand if you invest in gold when the economy is in a “boom” state your
return will be minus 30%. Likewise for the other possible states of the economy.
Note that the sum of the probabilities has to be 1–and is.
State of economy Probability Market Return Gold Return
Boom 0.15 25% (-30%)
Moderate Growth 0.35 20% (-9%)
Week Growth 0.25 5% 35%
No Growth 0.25 (-14%) 50%

Based on the expected return, would you rather invest your
money in the stock market or in gold? Why?

Keep in mind that your post must be made by 11:55PM EASTERN
time on Wednesday during the week in which a discussion question is posed. I
will evaluate your responses to each of these questions using a 0 to 10 point
scale, and your contribution to each of the five Discussion Forums will count
as 2 percent of the overall course grade for a total of 10 percent.

My evaluation of your post will be based on the extent to
which you participated and fostered a positive and effective learning
environment–for yourself and others. Participating and sharing are the keys.
Naturally, simply copying someone else’s post is prohibited. Your post should
computations you employed to arrive at your response, your post must contain
comments regarding the rationale for the approach you utilized. Simply listing
an answer is of no real value in promoting a discussion.

To make a post to this week’s Discussion Forum, click on the
Decision Alternatives link, then click Start a New Conversation. In the title
block of the dialog box that appears insert your first and last name; compose
your post in the message box; and then click Post Message.

week 7
Suppose that the demand for a company’s product in weeks 1,
2, and 3 are each normally distributed and the mean demand during each of these
three weeks is 50, 45, and 65, respectively. Suppose the standard deviation of
the demand during each of these three weeks is known to be 10, 5, and 15,
respectively. It turns out that if we can assume that these three demands are
probabilistically independent then the total demand for the three week period
is also normally distributed. And, the mean demand for the entire three week
period is the sum of the individual means. Likewise, the variance of the demand
for the entire three week period is the sum of the individual weekly variances.
But be careful! The standard deviation of the demand for the entire 3 week
period is not the sum of the individual standard deviations. Square roots don’t
work that way!

Now, suppose that the company currently has 180 units in
stock, and it will not be receiving any further shipments from its supplier for
at least 3 weeks. What is the probability that the company will run out of
units?
Keep in mind that your post must be made by 11:55PM EASTERN
time on Wednesday during the week in which a discussion question is posed. I
will evaluate your responses to each of these questions using a 0 to 10 point
scale, and your contribution to each of the five Discussion Forums will count
as 2 percent of the overall course grade for a total of 10 percent.

My evaluation of your post will be based on the extent to
which you participated and fostered a positive and effective learning
environment–for yourself and others. Participating and sharing are the keys.
Naturally, simply copying someone else’s post is prohibited. Your post should
computations you employed to arrive at your response, your post must contain
comments regarding the rationale for the approach you utilized. Simply listing
an answer is of no real value in promoting a discussion.

To make a post to this week’s Discussion Forum, click on the
Using the Normal Distribution link, then click Start a New Conversation. In the
title block of the dialog box that appears insert your first and last name;
compose your post in the message box; and then click Post Message.

week 10

Political polls typically sample randomly from the U.S
population to investigate the percentage of voters who favor some candidate or
issue. The number of people polled is usually on the order of 1000. Suppose
that one such poll asks voters how they feel about the President’s handling of
the crisis in the financial markets. The results show that 575 out of the 1280
people polled say they either “approve” or “strongly approve” of the
President’s handling of this matter. Based on the sample referenced above, find
a 95% confidence interval estimate for the proportion of the entire voter
population who “approve” or “strongly approve” of the President’s handling of
the crisis in the financial markets.
Now, here’s an interesting twist. If the same sample
proportion was found in a sample twice as large—that is, 1150 out of 2560—how
would this affect the confidence interval?

Keep in mind that your post must be made by 11:55PM EASTERN
time on Wednesday during the week in which a discussion question is posed. I
will evaluate your responses to each of these questions using a 0 to 10 point
scale, and your contribution to each of the five Discussion Forums will count
as 2 percent of the overall course grade for a total of 10 percent.

My evaluation of your post will be based on the extent to
which you participated and fostered a positive and effective learning
environment–for yourself and others. Participating and sharing are the keys.
Naturally, simply copying someone else’s post is prohibited. Your post should
computations you employed to arrive at your response, your post must contain
comments regarding the rationale for the approach you utilized. Simply listing
an answer is of no real value in promoting a discussion.

To make a post to this week’s Discussion Forum, click on the
Build a Confidence Interval Estimate link, then click Start a New Conversation.
In the title block of the dialog box that appears insert your first and last
name; compose your post in the message box; and then click Post Message.

week 12

A new process for producing synthetic diamonds can be
operated at a profitable level only if the average weight of the diamonds
produced by the process is greater than 0.5 karat. To evaluate the
profitability of the process, a sample of six diamonds was generated using this
new process, with recorded weights .46, .61, .52, .48, .57, and .54 karat. Do
the six measurements present sufficient evidence to indicate that the average
weight of the diamonds produced by the new process is in excess of 0.5 karat? To
answer this question conduct an appropriate test of hypothesis using the five
step process outlined in our textbook and utilized in the solutions to the
Chapter 8 review problems, which can be accessed via the link in the
Assignments, Tests & Quizzes sub-section in the weekly lesson that can be
found in the Lessons section of our classroom.
Keep in mind that your post must be made by 11:55PM EASTERN
time on Wednesday during the week in which a discussion question is posed. I
will evaluate your responses to each of these questions using a 0 to 10 point
scale, and your contribution to each of the five Discussion Forums will count
as 2 percent of the overall course grade for a total of 10 percent.

My evaluation of your post will be based on the extent to
which you participated and fostered a positive and effective learning
environment–for yourself and others. Participating and sharing are the keys.
Naturally, simply copying someone else’s post is prohibited. Your post should
computations you employed to arrive at your response, your post must contain
comments regarding the rationale for the approach you utilized. Simply listing
an answer is of no real value in promoting a discussion.

To make a post to this week’s Discussion Forum, click on the
Testing a Hypothesis link, then click Start a New Conversation. In the title
block of the dialog box that appears insert your first and last name; compose
your post in the message box; and then click Post Message.

Get a 30 % discount on an order above \$ 100
Use the following coupon code:
RESEARCH
Positive SSL