Let X1, X2, ..., Xn be a random sample of size from a distribution with probability density function

f(x) = λxλ−1 , 0 < x < 1, λ > 0

a) Get the method of moments estimator of λ. Calculate the estimate when x1 = 0.1, x2 = 0.2, x3 = 0.3.

b) Get the maximum likelihood estimator of λ. Calculate the estimate when x1 = 0.1, x2 = 0.2, x3 = 0.3.

In a specific population of plants the occurrence of homozygous recessive (aa) individuals is determined to be 9%. Assume the population is in Hardy-Weinberg Equilibrium.

1. What is the frequency of the dominant (A) allele in the population?

1. 0.9
2. 0.7
3. 0.3
4. 0.09

2. What is the frequency of the recessive (a) allele in the population?

1. 0.9
2. 0.7
3. 0.3
4. 0.09

3. What is the frequency of the homozygous dominant individuals in the population?

1. 0.810
2. 0.490
3. 0.900
4. 0.081

4. What is the frequency of the heterozygotes in the population?

1. 0.49
2. 0.42
3. 0.38
4. 0.09

A current filament carrying 8A in the z a direction lies along the entire z-axis in free space.
A rectangular loop connecting A (0, 0.2, 0) to B (0, 0.2, 0.3) to C (0, 0.7, 0.3) to D (0, 0.7,
0) to A lies in the x = 0 plane. The loop current is 3 mA and it flows in the z a direction in
the AB segment. Find the force on the loop due to the field of the straight filament.

1. The Cody Hotel, a proposed 50-room hotel (rooms-only lodging facility), planned to build in mid-Michigan. The owner is concerned about the average daily room rate (ADR), construction costs, borrowing costs, and their impact on profits. He provides you with the following information:

Determine the required ADR to achieve the owner's goal of earning an ROI of 15%. (20 points)

Simulation Case Study:
Phoenix Boutique Hotel Group

Phoenix Boutique Hotel Group (PBHG) was founded in 2007 by Bree Bristowe. Having worked for several luxury resorts, Bristowe decided to pursue her dream of owning and operating a boutique hotel. Her hotel, which she called PHX, was located in an area that included several high-end resorts and business hotels. PHX filled a niche market for “modern travelers looking for excellent service and contemporary design without the frills.” Since opening PHX, Bristowe has invested, purchased, or renovated three other small hotels in the Phoenix metropolitan area: Canyon Inn PHX, PHX B&B, and The PHX Bungalows.

One of the customer service enhancements Bristowe has implemented is a centralized, toll-free reservation system. Although many customers book specific hotels online, the phone reservation system enables PBHG to find the best reservation match at all properties. It has been an excellent option for those customers who have preferences regarding the type of room, amenity options, and the best price across the four hotel locations.

Currently, three agents are on staff for the 6 a.m. to 2 p.m. call shift. The time between calls during this shift is represented in Table 1. The time to process reservation requests during this shift is in Table 2.

Table 1: Incoming Call Distribution

Table 2: Service Time Distribution

Bristowe wants to ensure customers are not on hold for longer than 2 minutes. She is debating hiring additional staff for this shift based on the available data. Additionally, Bristowe and PBHG will soon be featured in a national travel magazine with a circulation of over a million subscriptions. Bristowe is worried that the current operators may not be able to handle the increase in reservations. The projected increase for call distribution is represented in Table 3.

Table 3: Incoming Call Distribution

Bristowe has asked for your advice in evaluating the current phone reservation system. Create a simulation model to investigate her concerns. Make recommendations about the reservation agents.

3) Create a Java program that uses NO methods, but use scanner:

Write a program where you will enter the flying distance from one continent to another, you will take the plane in one country, then you will enter miles per gallon and price of gallon and in the end it will calculate how much gas was spend for that distance in miles.

Steps: 1) Prompt user to enter the name of country that you are

2) Declare variable to enter and relate to scanner.

3) Prompt user to enter the name of country where you are willing to go.

4) Declare variable to enter and relate to scanner.

5) Create scanner, also declare variable double for distance, miles Per Gallon and price Per Gallon.

6) Prompt the user to enter data of your choice for each one of them

7) Create variable ticket which calculate distance divided by multiplication of miles Per Gallon and price Per Gallon

8) Create condition that if ticket cost is less then 1000 you are flying close, if greater then 1000 and less then 5000 they are flying far, if greater then 10000 very far and son on

9) In the end display the miles from one country to another and cost of flying and how far you are flying based on conditions.

A stock has a required return of 12%; the risk-free rate is 4%; and the market risk premium is 5%. What is the stock's beta? Round your answer to two decimal places. If the market risk premium increased to 7%, what would happen to the stock's required rate of return? Assume that the risk-free rate and the beta remain unchanged. If the stock's beta is greater than 1.0, then the change in required rate of return will be less than the change in the market risk premium. If the stock's beta is equal to 1.0, then the change in required rate of return will be greater than the change in the market risk premium. If the stock's beta is equal to 1.0, then the change in required rate of return will be less than the change in the market risk premium. If the stock's beta is greater than 1.0, then the change in required rate of return will be greater than the change in the market risk premium. If the stock's beta is less than 1.0, then the change in required rate of return will be greater than the change in the market risk premium. -Select- New stock's required rate of return will be %. Round your answer to two decimal places.

The AMS technical services department has embarked on a quality improvement effort. Its first project relates to maintaining the target upload speed for its Internet service subscribers. Upload speeds are measured on a standard scale which the target value is 1.0. Data collected over the past year indicate that the upload speed is approximately normally distributed, with a mean of 1.005 and a standard deviation of 0.10. Each day, one upload speed is measured. The upload speed is considered acceptable if the measurement on the standard scale between 0.95 and 1.05.

1. Assuming that the distribution has not changed from what it was in the past year, what is the probability that the upload speed is

a. less than 1.0?
b. between 0.95 and 1.0?
c. between 1.0 and 1.05?
d. less than 0.95 or greater than 1.05?

2.) The objective of the operations team is to reduce the probability that the upload speed is below 1.0. Should the team focus on process improvement that increases the mean upload speed 1.05 or on process improvement that reduces the standard deviation of the upload speed to 0.075? Explain