Given a random variable XX following normal distribution with mean of -3 and standard deviation of 4. Then random variable Y=0.4X+5Y=0.4X+5 is also normal.

(1)(2pts) Find the distribution of YY, i.e. μY,σY.μY,σY.

(2)(3pts) Find the probabilities P(−4<X<0),P(−1<Y<0).P(−4<X<0),P(−1<Y<0).

(3)(3pts) Find the probabilities P(−4<X¯<0),P(3<Y¯<4).P(−4<X¯<0),P(3<Y¯<4).

(4)(4pts) Find the 53th percentile of the distribution of X.

The following diagram shows a four step process that begins with Operation 1 and ends with Operation 4. The rates shown in each box represent the effective capacity of that operation

a. Determine the capacity of this process.

b. Which action would yield the greatest increase in process capacity: (1) Increase the capacity of Operation 1 by 15%; (2) Increase the capacity of Operation 2 by 10%; and (3) Increase the capacity of Operation 3 by 10%.

( This is the diagram below )

Operation 1 (20 units/hr) Operation 2 (18 units/hr) Operation 3 (24 units/hr) Operation 4 (22 units/hr)

Intro

The following table shows rates of return for a mutual fund and the market portfolio (S&P 500).

Attempt 1/3 for 10 pts.

Part 1

Regress the returns on the stock on the returns on the S&P 500. What is the beta of the fund, using the industry model (not subtracting the risk-free rate), i.e., the slope coefficient of the regression?

2+ Decimal Answer

1. Divide. (Simplify your answer completely.)

÷

2. Solve. (Enter your answers as a comma-separated list.)

+

=

3. Solve by using the quadratic formula. (Enter your answers as a comma-separated list.)

w² + 9w − 5 = 0

w =

4.

Find the coordinates of the x-intercepts of the parabola given by the equation. (If an answer does not exist, enter DNE.)

y = x² − x − 12

Using Python:

1. Compute the difference of differences between consecutive numbers of a series:

input 
ser = pd.Series([1, 3, 6, 10, 15, 21, 27, 35])
 
output:
[nan, 2.0, 3.0, 4.0, 5.0, 6.0, 6.0, 8.0]
[nan, nan, 1.0, 1.0, 1.0, 1.0, 0.0, 2.0]

2. Compute the euclidean distance between two series:

Input: 

p = pd.Series([1, 2, 3, 4, 5, 6, 7, 8, 9, 10])
q = pd.Series([10, 9, 8, 7, 6, 5, 4, 3, 2, 1])

Desired Output: 

18.165

The body temperatures of adults are normally distributed with a mean of 98.60˚F and a standard deviation of 0.73˚F. Step 1 of 4: What temperature would put you in the 77th percentile? Round to 2 decimals. Step 2 of 4: What temperature would put you in the bottom 20% of temperatures? Round to 2 decimals. Step 3 of 4: What is the probability that someone has a body temperature of 100°F or more? Step 4 of 4: What is the probability that someone has a body temperature less than 98°F?

The body temperatures of adults are normally distributed with a mean of 98.60˚F and a standard deviation of 0.73˚F.

Step 1 of 4: What temperature would put you in the 74th percentile? Round to 2 decimals.

Step 2 of 4:

What temperature would put you in the bottom 30% of temperatures? Round to 2 decimals.

Step 3 of 4:

What is the probability that someone has a body temperature of 101°F or more?

Step 4 of 4:

What is the probability that someone has a body temperature less than 97°F?

JAVA- List, Stacks, Queues, Sets, And Maps

Question 1

Given that you want to be able to return the items that come immediately before and after a given node. Which variation of a list would be best suited?

1. Circular single-linked list

2. All options are equally good

3. Double linked list

4. Single linked list with header and trailer nodes

5. Single-linked list

Question 2

One of the statements is correct for stacks and queues

1. Both data structures must be implemented using an array

2. Both data structures must be implemented using a linked list

3. Both data structures must have a counter that holds the number of items used

4. Basic operations push, pop, enqueue and dequeue take constant time

Question 3

Assume List list = new ArrayList (). Which mappings below are correct? ( Several options possible)

1. list.add("Red");

2. list.add(new java.util.Date());

3. list.add(new E); // E is a generic type

4. list.add(new ArrayList());

5. list.add(new Integer(100));

Question 4

What is the Comparator interface used for? (Several options possible)

1. To compare objects differently than the compareTo method for them to work.

2. To sort items that have not implemented Comparable interface.

3. To separate the logic of the objects from the rest of the code so that it is easier to operate the code testing.

4. To increase the speed of sorting elements that implement the Comparable interface.

Question 5

What is the difference between Lists, Sets, and Maps? (Several options possible)

1. List allows duplicates, while Sets only allows unique elements. Maps allow duplicate values, but keys for them must be unique.

2. Lists allow multiple elements in it to be null objects, Maps allow multiple null values, but only one null key, while Sets allow only one null value in it.

3. Usually, Lists are sorted, while Sets are unsorted.

4. Lists have no limit on the number of items they can contain, while Sets and Maps can only hold up to 1 million items.

Question 6

When to Use List

1. Want to store items and an identifier for the items

2. Want to access items using index

3. Want to keep track of the items

4. Want only unique values

Question 7

When to use Map

1. Want to store items and an identifier for the items

2. Want to access items using index

3. Want to keep track of the items

4. Want only unique values

Question 8

When to use Set

1. Want to store items and an identifier for the items

2. Want to access items using index

3. Want to keep track of the items

4. Want only unique values

Question 9

Suppose arrayList is an ArrayList and linkedList is a LinkedList. Both contain one million items. Analyze the following code:

A:
for (int i = 0; i < arrayList.size(); i++)
    sum += arrayList.get(i);

B:
for (int i = 0; i < linkedList.size(); i++)
    sum += linkedList.get(i);

1. Code fragment A runs faster than code fragment B

2. The code snippets run just as fast

3. Code fragment B will fail since LinkedList does not have method get (int)

4. Code fragment B runs faster than code fragment A

Question 10

Which data type should you use if you allow duplicate storage and you should be able to insert items anywhere without using a lot of resources?

1. ArrayList

2. AVL three

3. LinkedList

4. Stack

5. Set

Question 11

What type of container would be best suited for creating a dictionary program?

1. LinkedList

2. Map

3. Stack

4. Set

5. ArrayList

Question 12

Link names of operations with function they have in an ArrayDeque

Poll

1. insert the item at the end of ArrayDeque

2. Returns the first element of ArrayDeque

3. Returns and removes first element of ArrayDeque

Question 13

Link names of operations with function they have in an ArrayDeque

Offer

1. insert the item at the end of ArrayDeque

2. Returns the first element of ArrayDeque

3. Returns and removes first element of ArrayDeque

Question 14

Link names of operations with function they have in an ArrayDeque

Peek

1. insert the item at the end of ArrayDeque

2. Returns the first element of ArrayDeque

3. Returns and removes first element of ArrayDeque

1. Strategic human resource management emphasises the need for HR strategies to be:
   1. responsive to the organisation's external environment.
   2. developed with only short-term aims and objectives.
   3. responsive only to internal changes to the organisation's environment
   4. adhered to irrespective of internal and external changes until their objectives have been achieved.

2. The corporate-level strategy that seeks to improve performance by cost cutting, downsizing or re-engineering is known as:

1.retrenchment strategy

2.stability strategy

3. consolidation strategy

4.financial strategy

3. Which of the following techniques for forecasting the internal supply of human resources is concerned with the filling of key management vacancies?

1. replacement charts

2. succession planning

3. Markov analysis

4. skills inventory

4. Which of the following best defines HRM?

1. the focus of human resource management (HRM) is on managing people within the employer-employee relationship to facilitate achieving the organisation’s objectives and satisfying employee needs.

2. the focus of HRM is on achieving an organisation’s goals by using its employees efficiently

3. HRM is concerned with having the right people in the right place at the right time

4. HRM is a set of activities relating to the coordination of an organisation’s human resource

5.Which of the following is NOT a critical factor in HR professionals successfully fulfilling the role of a strategic partner/contributor?

1. Demonstrating how HRM improves business performance and reduces costs

2. The ability to translate business strategy into action

3. Putting the needs and demands of management above those of the employees

4. Being part of the top management team in the organisation

6. The dual role for an HR manager of being an employee advocate and a strategic partner can create tensions because:

1. there will be competition for the resources necessary to fulfil both roles.

2. these roles may not be recognised by the senior managers in the organisation.

3. strategic decisions by the company may have undesirable impacts on employees.

4. the HR manager may not be not skilled in fulfilling both roles effectively.

7. Linking HR planning with corporate strategy allows the HR manager:

1. to understand the role he/she plays within the organisation.

2. to influence the future structure of the organisation’s management.

3. to anticipate and influence the future HR requirements of the organisation.

4. to more clearly understand the impact of increased global competition.

8. Improved childcare facilities, the increased availability of part-time work, and maternity leave are a reflection of:

1. changing social attitudes towards work.

2. increasing numbers of women in the workforce.

3. attempts to reduce levels of employee absenteeism.

4. the requirements of EEO legislation.

9. The corporate-level strategy adopted by Primary Health Care which involved the merger and acquisition of Symbion Health is known as an:

1. low cost strategy

2. competitive takeover

3. growth strategy

4. diversification

10. According to the systematic human resource planning process, the first step is to:

1. identify HR objectives.

2. examine the demand for, and supply of, internal and external human resources.

3. identify critical internal labour shortages.

4. employ experienced external HR consultants.

Consider a study involving turbulent water jets. Shape factor was determined for five different nozzle designs at six levels of jet efflux velocity. Researchers were particularly interested in potential differences in shape factor between nozzle designs, with jet efflux velocity considered a nuisance factor. The data for this experiment are provided below. The first column provides the nozzle design number, the second column provides the jet efflux velocity (in m/s), and the third column provides the shape factor measurement. Note that the run order is not provided.

3. Use SAS and determine which pairs of nozzle designs have significantly different treatment means using both the LSD and Tukey methods. NOTE: You may use the lsmeans or means statement in PROC GLM to make this determination. You do not need to perform calculations by hand.

4. Which method (LSD or Tukey’s) would you recommend using to determine significant differences among pairs of treatment means for this experiment? Clearly explain your choice.

5. Determine if the model assumptions are reasonably met. Be sure to state the assumptions of the test and identify which plot/test can be used to evaluate each assumption.