Use the geometric probability distribution to solve the following problem.

On the leeward side of the island of Oahu, in a small village, about 72% of the residents are of Hawaiian ancestry. Let n = 1, 2, 3, … represent the number of people you must meet until you encounter the first person of Hawaiian ancestry in the village.

(a)

Write out a formula for the probability distribution of the random variable n. (Enter a mathematical expression.)
P(n) =

(b)

Compute the probabilities that n = 1, n = 2, and n = 3. (For each answer, enter a number. Round your answers to three decimal places.)
P(1) =
P(2) =
P(3) =

(c)

Compute the probability that n ≥ 4. Hint: P(n ≥ 4) = 1 − P(n = 1) − P(n = 2) − P(n = 3). (Enter a number. Round your answer to three decimal places.)

(d)

What is the expected number of residents in the village you must meet before you encounter the first person of Hawaiian ancestry? Hint: Use μ for the geometric distribution and round. (Enter a number. Round your answer to the nearest whole number.)
residents

Problem 2-33 Effect of adjusting entries on the accounting equation Required Each of the following independent events requires a year-end adjusting entry. Show how each event and its related adjusting entry affect the accounting equation. Assume a December 31 closing date. The first event is recorded as an example

PROBLEM 2-33

¹$         x   /12 = $

²$          x   /12 = $

³$          x   /12 = $

⁴$          x   /12 = $

a. Paid $4,800 cash in advance on October 1 for a one-year insurance policy.

b. Received an $3,600 cash advance for a contract to provide services in the future. The contract required a one-year commitment, starting April 1.

c. Purchased $1,200 of supplies on account. At year’s end, $175 of supplies remained on hand. d. Paid $9,600 cash in advance on August 1 for a one-year lease on office space.

What is the marginal utility when total utility increases from 34 to 42 after consumption of 1 unit?

A) 2

B) 4

C) 6

D) 8

Calculate total utility based on the following information;

Unit 1 Marginal Utility = 9

Unit 1 Marginal Utility = 8

Unit 1 Marginal Utility = 4

Unit 1 Marginal Utility = 1

A) 22

B) 23

C) 24

D) 25

Calculate accounting profit using the following data:

Explicit costs = $40,000

Implicit costs = $20,000

Revenue = $100,000

A) 40,000

B) 60,000

C) 80,000

D) 100,000

Calculate economic profit using the following data:

Explicit costs = $40,000

Implicit costs = $20,000

Revenue = $100,000

A) 40,000

B) 60,000

C) 80,000

D) 100,000

What is average profit if total profit is $50,000 and there are 25,000 units produced?

A) 4

B) 3

C) 2

D) 1

What is marginal revenue if total revenue increases from $15,500 to $16,000 after a unit is sold?

A) 500

B) 1000

C) 1500

D) 2000

Please answer them all!

Thank you!!

Present the six tasks below in 12-point font with particular attention given to APA style. Use the terms between, among, and statistically significant carefully! Remember, the text PDF files contain APA examples.

1. Using APA style, write a clear and concise sentence that presents the mean and standard deviation data from deliverable one.

Deliverable 1

For each group listed in the table below, list the following (to two decimal places - e.g., 17.54)

1. Mean

2. Median

3. Mode

4. Standard deviation (sample)

5. Variance (sample)

6. n (count)

7. df (degrees of freedom) - hint df = n - 1

2. Using APA style, write a clear and concise sentence that presents the Person Product Moment Correlation results from deliverable two.

Deliverable 2

Pearson Correlation

Use the Pearson Correlation to analyze the data below.

1. Report the strength (number) of the correlation.

2. Is the correlation statistically significant (alpha .05 two-tailed)?

3. Using APA style, write two clear and concise sentences that present (1) the mean and standard deviation data from deliverable three and (2) the results from the t test in deliverable three.

Independent-Measures t Statistic (2 sample assuming = variances)

For the data below -

1. Write H₀
2. Write H₁
3. Compute and report the results for the t statistic (using Excel) (hint also compute descriptive statistics to help with d6); use (α = .05) – two tailed - 2 sample assuming = variances)
4. Retain or reject H₀

4. Using APA style, write a clear and concise sentence that presents the ANOVA results from deliverable four.
5. Create an APA style table that presents the mean and standard deviation data for the three conditions from deliverable four.

Deliverable 4

ANOVA

For the data below -

1. Write H₀
2. Write H₁
3. Compute and report the F statistic ANOVA (using Excel); use (α = .05) - ANOVA (single factor); hint also compute descriptive statistics to help with d6 (2 points)
4. Retain or reject H₀

6. Using APA style, write a clear and concise sentence that presents the Tukey HSD results from deliverable five.

Deliverable 5

Based on the findings for deliverable four, determine if a post hoc test is necessary. If necessary:

1. Run and report the results for the Tukey HSD
2. Present the M and SD (in table form) for each condition; use the Excel ANOVA variance for the basis of these calculations!
3. Identify which conditions have an honestly significant difference.

Given point charges of 20 mC, 25 mC and 30 mC located at A(6,-7,1), B (2, 4, -6) and C( -4, 1, 2), respectively. Three infinitely long line charges of 36 nC/m, 30 nC/m and 25 nC/m are located at: (x = 1, y = 3), (y = 3, z = 5) and (x = 10, z = 9), respectively. Three infinitely wide sheet charges of 12 nC/m², 24 nC/m² and 36 nC/m² located in the following, respectively: x = -8, y = 0, and z = 5. Find the following:

1. The total Electric Field Intensity at the origin.
2. The total Electric Field Intensity at point (7, 5, 2)

Suppose that the number of gallons of milk sold per day at a local supermarket are normally distributed with mean and standard deviation of 419.9 and 26.93, respectively. What is the probability that on a given day the supermarket will sell between 432 and 438 gallons of milk?

Question 2 options:

Computing Straight-Line and Double-Declining-Balance Depreciation

On January 2, Haskins Company purchases a laser cutting machine for use in fabrication of a part for one of its key products. The machine cost $112,000, and its estimated useful life is five years, after which the expected salvage value is $7,000. Compute depreciation expense for each year of the machine's useful life under each of the following depreciation methods:

Note: Round answers to the nearest whole number, when applicable.

a. Straight-line

b. Double-declining-balance

Create professional memo answering the following questions. Your memo should include an brief introduction of why you are writing this memo and also must include a closing statement of how you can be reached for questions.

1. Should the Project be accepted or rejected?
2. Explain your rational for your answer in question 2.

13. A researcher assesses 7 students on test anxiety using blood pressure as a measure (the higher the blood pressure, the greater the anxiety); she then assesses the same subjects again after they view a 2-hour videotape on "relaxation techniques under stress". The results, average systolic blood pressure, were:

Subject Before After

1 120 110

2 160 110

3 124 100

4 135 99

5 170 115

6 143 106

7 188 89   

   1. State the independent and dependent variables.
   2. State the Null Hypothesis in words and symbols.
   3. Compute the appropriate statistic.
   4. What is the decision? reject
   5. State the full conclusion in words.