1. Suppose a pool of insurance policyholders can be classified into groups 1, 2, and 3. For a person from group i, the number of accidents that the person will have in a year follows a Poisson distribution with parameter i, for i=1, 2, 3. Suppose 20% of the policyholders are in group 1, 40% in group 2 and 40% in group 3.
   1. For a policyholder in group 3, what is the probability that the person will have at least one accident in a year?
   2. Find the probability that a randomly selected person from the pool will have exactly two accidents in a year.

According to an​ article, 34​% of adults have experienced a breakup at least once during the last 10 years. Of 9 randomly selected​ adults, find the probability that the​ number, X, who have experienced a breakup at least once during the last 10 years is

a. exactly​ five; at most​ five; at least five.

b. at least​ one; at most one.

c. between 5 and 7 inclusive.

d. Determine the probability distribution of the random variable X.

Scenario 1:
A researcher wants to determine if different forms of regular exercise alter HDL levels in obese middle aged males between the ages of 35 and 45.  Participants in the study are randomly assigned to one of four exercise groups – No Exercise, Resistance Training, Aerobic Exercise or Stretching/Yoga – and instructed to follow the program for 8 weeks.  Their HDL levels are measured after 8 weeks and are summarized below.

1. What is the null hypothesis equation for this experiment?

2. Specify the ν_nnumerator degrees of freedom? Please paste your data output file in the space below.

3. Specify the ν_ddenominator degrees of freedom?  

4. Identify the F-critical value at P<0.05 from the F distribution table 3-1 from the Primer of Biostatistics 7^thEd.

5. Identify the F-critical value at P<0.01 from the F distribution table 3-1 from the Primer of Biostatistics 7^thEd.

6. Specify whether you accept or reject the null hypothesis at P<0.05?

7. Specify whether you accept or reject the alternate hypothesis at P<0.05?

1. The following is the frequency distribution table of the marks scored by candidates in an examination.
Marks 0-9 10-19 20-29 30-39 40-49 50-59 60-69 70-79 80-89 90-99
frequency 2 7 8 13 24 30 6 5 3 2

A. Make a cumulative frequency table and use it to draw the cumulative frequency curve for the distribution
B. Use your graph to estimate
I. The median mark
II. The lower quartile
III. The upper quartile
IV. The inter quartile range
V. The pass mark if the 60 percent of students passed
VI. The 40th percentile
VII. The 20th percentile
C. Calculate the following
I. Mode
II. Median
III. Standard deviation
IV. Co efficient of variation
V. Skewness

Step 1:

Enter a negative estimate as a negative number in the regression model. round your answers to 4 decimal places, if necassary

yi=________+(_____________)xi

Step 2: Interpret the coefficient of the first test grade in the model.

Psychopaths tend to be cold and calculated, often not worrying about others or consequences so they are typically not anxious. You are curious whether anxiety scores for people are associated with psychopathy scores. To test this you survey 12 undergraduate students on their anxiety level (0 to 100, higher mean more anxious) and their score on a standard psychopathy measure (0 to 40, higher score indicated a higher level of psychopathy). The data is as follows:

1) If you consider both variables to be interval, what is the correlation between anxiety and psychopathy scores?

A social scientist would like to analyze the relationship between educational attainment and salary. He collects the following sample data, where Education refers to years of higher education and Salary is the individual’s annual salary (in $1,000s):

Education 3 4 6 2 5 4 8 0

Salary 40 53 80 42 70 50 110 38 Data is in the spreadsheet. What is the predicted salary for an individual who completed 7 years of higher education? (Do not round the Excel coefficients-use all the decimal places Excel gives you. Round your final answer to a whole number, and express in thousands of dollars. If your final answer was 67.95328102, you would round to a whole number, 68, and express the salary in thousands of dollars: 68,000. Do NOT include the dollar sign in your answer.)

Gladstone Corporation is about to launch a new product. Depending on the success of the new? product, Gladstone may have one of four values next? year: $ 153 ?million, $ 139 ?million, $ 95 ?million, and $ 79 million. These outcomes are all equally? likely, and this risk is diversifiable. Suppose the? risk-free interest rate is 5 % and? that, in the event of? default, 30 % of the value of? Gladstone's assets will be lost to bankruptcy costs.? (Ignore all other market? imperfections, such as? taxes.)

a. What is the initial value of? Gladstone's equity without? leverage? Now suppose Gladstone has? zero-coupon debt with a $ 100 million face value due next year. round to two decimal place

b. What is the initial value of? Gladstone's debt? round to two decimal place

c. What is the? yield-to-maturity of the? debt %? round to two decimal place .

What is its expected? return % ?   round to the nearest integer

d. What is the initial value of? Gladstone's equity? round to two decimal place

What is? Gladstone's total value with? leverage? round to two decimal place

Suppose Gladstone has 10 million shares outstanding and no debt at the start of the year.

e. If Gladstone does not issue? debt, what is its share? price? round to the nearest cent

f. If Gladstone issues debt of $ 100 million due next year and uses the proceeds to repurchase? shares, what will its share price? be? round to nearest cent

Why does your answer differ from that in part ?(e?)?

Exercise 7-28 (Algo) Receivables; transaction analysis [LO7-3, 7-5, 7-6, 7-7, 7-8]

Weldon Corporation’s fiscal year ends December 31. The following is a list of transactions involving receivables that occurred during 2021:

• 1

  Accounts receivable of $3,100 were written off as uncollectible. The company uses the allowance method.

• 2

  Loaned an officer of the company $39,000 and received a note requiring principal and interest at 8% to be paid on March 30, 2022.

• 3

  Record the accrued interest revenue on the discounted note.

• 4

  Record the cash received on the discounted note.

• 5

  Sold merchandise to the Blankenship Company for $26,000. Terms of the sale are 3/10, n/30. Weldon uses the gross method to account for cash discounts.

• 6

  The Blankenship Company paid its account in full.

• 7

  Sold stock with a book value of $6,400 and accepted a $7,400 noninterest-bearing note with a discount rate of 9% due on February 28, 2022.

• 8

  To record the accrual of interest earned on note receivable.

• 9

  To record the accrual of bad debt expense.

You have seven mornings per week. On each morning, you can either study, go to the rock climbing wall, or sculpt (i.e., make sculptures). If you rock climb, you must be a member of the club. The membership fee is 100 Bobos each week. And, as member, you pay 10 Bobos for each morning of climbing. If you sculpt, you must rent a studio which costs 100 Bobos per month. Each morning you sculp, you use 10 Bobos worth of material.

Your economics professor has asked you to produce a table showing your marginal cost for each of 7 mornings you might sculpt during a normal week.

ble and why the values you wrote down make
sense. Provide your answers in sections labelled
The Table
The Explanation

Assume that in October, you rationally climbed two times per week and sculpted three times per week. In November, you know that the daily climbing price will be 5 bobo per morning. Explain, using the costs and benefits of sculping, how you will decide whether to rent
a studio in November. Provide your answer in a section labelled
November

Assume that in March you rationally climbed two times per week and sculpted three times per week. A climber from out of town is willing to pay you 50 Bobos per week for your April membership. If you sell, you cannot climb. If this is the only change the professor is aware of, what does your economics professor predict about how often you sculp in April? Explain. Provide your answer in a section labelled
April

Assume that the following March, you rationally climbed two times per week and sculpted three times per week. In April the membership fee for the climbing club will increase 150 bobos per week. If this is the only change the professor is aware of, what does your economics professor predict about how often you sculp in April? Explain. Provide your answer in a section labelled
April, redux