Category: Mathematics Homework Help

I’m trying to learn for my Algebra class and I’m stuck. Can you help?

In the definition of Imaginary Numbers i2 = -1,

1) How can we evaluate i10 ?

2) How can we evaluate i20 ?

3) How can we evaluate iN , for N >0?

On three exercises show your work step- by-step. No work, no credi

HINT:

To find the rule for powers of i :

i0 = 1

i1= i

i2 = -1

i3 = i * i2 = i(-1) = -i

i5 = i2*i3 = (-1)(-i) = i

1. Define each of the following terms and provide an example for each:

An event, union of events, intersection of events, sample space, mutually exclusive events, the complement of an event, containment, the null event, disjoint events, the probability of an event, probability space, probability by counting, probability of union of events, probability of union of disjoint events, the relation between probabilities of complementary events, relation between the probabilities of the contained event and the probability of its container.

2. Please explain conditional probability accompanied by an example based on a contingency table. Explain how the notion of conditional probability yields the relation for the probability of intersection of independent events.

3. Please explain Bayes’ theorem, accompanied by an example.

4. Demographic characteristics of college students in the USA whose ages are at least 18, according to a survey taken in 1995 are shown in Table 1. Using conditional probabilities, discuss:  a)The dependence between age and gender, b)The dependence between age and ethnicity for U.S. college students

Table 1

Demographic characters of college students in the USA whose ages are at least 18 in 1995.

PART 2:

Please provide your work in detail and include in-text citations.

In the book Making Hard Decisions: An Introduction to Decision Analysis, Robert T. Clemen presents an example in which he discusses the 1982 John Hinckley trial. In describing the case, Clemen says: In 1982 John Hinckley was on trial, accused of having attempted to kill President Reagan. During Hinckley’s trial, Dr. Daniel R. Weinberger told the court that when individuals diagnosed as schizophrenics were given computerized axial tomography (CAT) scans, the scans showed brain atrophy in 30% of the cases compared with only 2% of the scans done on normal people. Hinckley’s defense attorney wanted to introduce as evidence Hinckley’s CAT scan, which showed brain atrophy. The defense argued that the presence of atrophy strengthened the case that Hinckley suffered from mental illness. 

1. Approximately 1.5 percent of the people in the United States suffer from schizophrenia. If we consider the prior probability of schizophrenia to be .015, use the information given to find the probability that a person has schizophrenia given that a person’s CAT scan shows brain atrophy.
2. John Hinckley’s CAT scan showed brain atrophy. Discuss whether your answer in part helps or hurts the case that Hinckley suffered from mental illness.
3. It can be argued that .015 is not a reasonable prior probability of schizophrenia. This is because .015 is the probability that a randomly selected U.S. citizen has schizophrenia. However, John Hinckley was not a randomly selected U.S. citizen. Rather, he was accused of attempting to assassinate the President. Therefore, it might be reasonable to assess a higher prior probability of schizophrenia. Suppose you are a juror who believes there is only a 10 percent chance that Hinckley suffers from schizophrenia. Using .10 as the prior probability of schizophrenia, find the probability that a person has schizophrenia given that a person’s CAT scan shows brain atrophy. 
4. If you are a juror with a prior probability of .10 that John Hinckley suffers from schizophrenia and given your answer to part 3, does the fact that Hinckley’s CAT scan showed brain atrophy help the case that Hinckley suffered from mental illness? 
5. If you are a juror with a prior probability of .25 that Hinckley suffers from schizophrenia, find the probability of schizophrenia given that Hinckley’s CAT scan showed brain atrophy. In this situation, how strong is the case that Hinckley suffered from mental illness?

Bowerman, B., Drougas, A. M., Duckworth, A. G., Hummel, R. M. Moniger, K. B., & Schur, P. J. (2019). Business statistics and analytics in practice (9th ed.). McGraw-Hill

ISBN 9781260187496

Help me study for my Statistics class. I’m stuck and don’t understand.

Assignment:

Scenario:

An I/O psychologist was hired to investigate a stress reduction program at Tools R Us.  The company believes that the workers are not disconnecting themselves from their work when out of the office causing excessive workload and burnout. 50 participants are randomly selected from the work place at Tools R Us. All participants are given a 20 item stress inventory, the IPSI, to measure their stress.  For a period of 1 month, all participants were restricted from company internet, email, and work tasks outside of the workplace.  All participants were again given the same 20 item stress inventory after the 1 month.  Higher stress scores on the Industrial Psychological Stress Inventory (IPSI) indicate greater work related stress.

Research Question: Does disconnecting from work while outside the office reduce stress of employees?

Data file: Stress reduction study data-1.csv

Data file column descriptions: 

Participant #: Not used in the analysis

IPSI Score Before Disconnecting: The subject’s scores on the Industrial Psychological Stress Inventory before disconnecting from work.

IPSI Score After Disconnecting: The subject’s scores on the Industrial Psychological Stress Inventory after the one month of disconnecting from work.

Lab worksheet: dependent t worksheet.docx Instructions:

I’m working on a mathematics multi-part question and need an explanation and answer to help me learn.

1. Jim deposits $3000 in an account with an APR of 2.72% interest compounded daily and wants to know what the balance will be in 10 years. Use Excel to determine how much will Jim have in the account in 10 years? (Use 365 days in 1 year.)

1a)*Include your completed Excel File for the previous problem so that I can see that you know where to put each number in the spreadsheet.

2. Suppose you want to have $500,000 for retirement in 35 years. Your account earns 10% interest compounded monthly. a) How much would you need to deposit in the account each month? $ b) How much interest will you earn? $

2a) *Include your completed Excel File for the previous problem so that I can see that you know where to put each number in the spreadsheet.

3. You want to be able to withdraw $45,000 each year for 25 years. Your account earns 8% interest.

a) How much do you need in your account at the beginning?

$

b) How much total money will you pull out of the account?

$

c) How much of that money is interest?

$

3a) Include your completed Excel File for the previous problem so that I can see that you know where to put each number in the spreadsheet.

4. You want to buy a $258,000 home. You plan to pay 10% as a down payment, and take out a 30 year loan for the rest.

a) How much is the loan amount going to be?

$

b) What will your monthly payments be if the interest rate is 6%?

$

c) What will your monthly payments be if the interest rate is 7%?

$

*Include your completed Excel File for the previous problem so that I can see that you know where to put each number in the spreadsheet.

Apply the normal distribution, standard normal distribution, and central limit theorem.

Scenario

Frank has only had a brief introduction to statistics when he was in high school 12 years ago, and that did not cover inferential statistics. He is not confident in his ability to answer some of the problems posed in the course.

As Frank’s tutor, you need to provide Frank with guidancprobabilitye and instruction on a spreadsheet he has partially filled out. Your job is to help him understand and comprehend the material. You should not simply be providing him with an answer as this will not help when it comes time to take the test. Instead, you will be providing a step-by-step breakdown of the problems including an explanation on why you did each step and using proper terminology.

What to Submit

To complete this assignment, you must first download the spreadsheet, and then complete it by including the following items on the spreadsheet:

1. Incorrect Answers – Correct any wrong answers. You must also explain the error performed in the problem in your own words.
2. Partially Finished Work – Complete any partially completed work. Make sure to provide step-by-step instructions including explanations.
3. Blank Questions – Show how to complete any blank questions by providing step-by-step instructions including explanations.

Your step-by-step breakdown of the problems, including explanations and calculations performed, should be present within the Excel spreadsheet provided.

Attached is a pdf of the problems need to be done. Chapters 4.3 – 4.5 and 5.1-5.3 . Only the check point problems needs to be completed. There is about 6-8 checkpoint problems per chapter.

The questions are basic on the picture show as below, and the example of questions are also there. I have all the tutorial notes, just need fellow to write down.

Option 1: Find an article that mentions a new drug that promises an improved survival rate.

Identify whether this rate represents the mean or the median of the data set.

Assess whether that is ideally what you’d want to know for this data.

Provide a specific reason for your answer.

• Option 2: For this option, consider a normal distribution.
• Decide whether you should use the median or mean to best describe the data set.
• Determine whether the standard deviation or the interquartile range are relevant factors.

Briefly discuss in the context of a specific example.

Option 3: Respond to the following questions.

If the median house price is $1.9 million, does that necessarily mean that half of the houses on the block are worth less than $1.9 million and half are worth more?

• How do ties figure in?
• Give an example that includes 8 to 12 data points.

Suppose the sequence a(n) satisfies the following linear recurrence:

a(n)=4a(n−1)+3; a(0)=9.

(a) Find a closed (explicit) formula for a(n)

(b) Compute the value a(11) =