Jane wants to auction off an item, but does not know where to go to find bidders. David offers to find bidders for her, but will charge her $10 per bidder he gets to show up. Each bidder will uniformly value the item between [500. 1000). The highest bidder will win the item and pay the second-highest bidder's price (Vickrey auction). How many bidders should Jane pay David to find?

The following income distribution data are for Brazil. Quintile Percent Share Lowest 20% 3.0% Second quintile 6.9% Third quintile 11.8% Fourth quintile 19.6% Highest 20% 58.7% Highest 10% 43.0%。

(e) Suppose one percent of national income were transferred from the richest 20% of households to the poorest 20% of households. Show the effect on relative inequality.

(f) Under the same transfer, what is the effect on poverty?

2. Match the following descriptions with the intertidal zone that exhibits the characteristic: A, B, or C: Highest risk of desiccation, highest species diversity, and shallowest area where red, green and brown algae grow.

A) lower intertidal zone B) middle intertidal zone C) upper intertidal zone

3. Which of the following does not determine an estuary's mixing pattern: A) depth of the river upstream B) water density C) nearshore currents

1. A shot putter projected a shot at the angle of 28 degrees at a velocity of 47 fps. The shot was released from 7 ft from the ground.

a. Compute the velocity in the y and x direction (in fps).

b. Compute the time from release of the shot put to the highest point.

c. Compute the time from the highest point to the ground.

d. Determine the total time the shot traveled while in the air.

e. How far will the ball travel (in feet)?

Consider the following four portfolios:

• Portfolio A has $950 invested in the risk free asset and $50 invested in the market.

• Portfolio B has $5,000 invested in the risk free asset and $5,000 invested in the market portfolio.

• Portfolio C has $25,000 invested in the risk free asset and $75,000 invested in the market portfolio.

• Portfolio D has borrowed $500,000 at the risk free rate (e.g., W(risk free) = -50%) and has invested $1,500,000 in the market portfolio.

Assume that you can borrow and lend at a risk free rate of 5% per year and assume that the market portfolio has an expected return of 12% per year and its annual returns have a standard deviation of 22%. Select the most accurate statement below.

A) Of the four portfolios described above, Portfolio A has the highest reward to variability ratio.

B) Of the four portfolios described above, Portfolio B has the highest reward to variability ratio.

C) Of the four portfolios described above, Portfolio C has the highest reward to variability ratio.

D) Of the four portfolios described above, Portfolio D has the highest reward to variability ratio.

E) None of the above statements is correct.

1)Thirty-eight percent of consumers prefer to purchase electronics online. You randomly select 16 consumers. Find the probability that the number who prefer to purchase electronics online is at most 5.

2)The speed of cars on a stretch of road is normally distributed with an average 42 miles per hour with a standard deviation of 5.9 miles per hour. What is the probability that a randomly selected car is violating the speed limit of 50 miles per hour?

3)   A survey indicates that shoppers spend an average of 26 minutes with a standard deviation of 16 minutes in your store and that these times are normally distributed. Find the probability that a randomly selected shopper will spend less than 20 minutes in the store.

4) The monthly utility bills in a city are normally distributed with a mean of $121 and a standard deviation of $23. Find the probability that a randomly selected utility bill is between $115 and $130.

5)  A restaurant serves hot chocolate that has a mean temperature of 175 degrees with a standard deviation of 8.1 degrees. Find the probability that a randomly selected cup of hot chocolate would have a temperature of less than 161 degrees. Would this outcome warrant a replacement cup (meaning that it would be unusual)?

Hi can you do me this 3 exercises? if you answer them all and are correct I will put thumbs up! thanks :)

7) Focus groups of 14 people are randomly selected to discuss products of the Famous Company. It is determined that the mean number (per group) who recognize the Famous brand name is 9, and the standard deviation is 0.79. Would it be unusual to randomly select 14 people and find that greater than 13 recognize the Famous brand name?

8) Assume that there is a 0.05 probability that a sports playoff series will last four games, a 0.45 probability that it will last five games, a 0.45 probability that it will last six games, and a 0.05 probability that it will last seven games. Is it unusual for a team to win a series in 4 games?

9) In a survey of 300 college graduates, 53% reported that they entered a profession closely related to their college major. If 9 of those survey subjects are randomly selected without replacement for a follow-up survey, what is the probability that 3 of them entered a profession closely related to their college major? In a sample of 9 persons, would it be unusual to for 8 persons sampled to have entered a profession closely related to their college major?

1. In Spring 2019, a local community college decided to switch textbooks for their calculus courses. In order to compare how students fared with the new book compared to the old book, a professor recorded the average grades that the students received on their exams. The average exam scores of 17 randomly selected students are shown below. State the 5-number summary by clearly labeling each value and create a boxplot for this data.

4. A statistics professor gave a final exam to his students where the first page consisted entirely of 12 true/false questions. Assume that a student decided to randomly guess on all 12 true/false questions on the first page. Use this data to answer the following questions.

1. Find the probability that this student guesses all 12 correctly

2. Find the probability that this student guesses at least 6 correctly

3. Find the probability that this student guesses exactly 7 correctly

4. Find the probability that this student guesses between 5 and 10 questions correctly.

5. Find the probability that this student guesses no more than 10 questions correctly.

Information on three age groups and three salary bands in a mining company is being analyzed. First, it is summarized into a contingency table before this analysis. The table, showing the age groups, the salary bands and the number of employees per each combination of salary band and age group is shown below.

a. Produce a probability contingency table for the data including the totals.

b. If an employee is randomly chosen, what is the probability that he/she is in the 40 to 60 years age group earning between P20, 000 and P40, 000?

c. If an employee is randomly chosen, what is the probability that he/she is less than 40 years of age or earning more than P40, 000?

d. Given that the employee earns less than P20, 000, what is the probability that he/she is aged above 60 years (give answer to 4 decimal places)?

e. If an employee is randomly chosen, what is the probability that he/she is aged 60 years and less?