Let X and Y have the following joint density function f(x,y)=k(1-y) , 0≤x≤y≤1.

1. Find the value of k that makes this a probability density function.
2. Compute the probability that P(X≤3/4, Y≥1/2).
3. Find E(X).
4. Find E(X|Y=y).

On january 1, 2017, A company issued 12% stated rate bonds with a face amount of $200 million. The bonds mature on january 1, 2027 and market rate was 14%. 

Please answer the following:
1.n=
2.i=
3.Total present value of interest payment=
4.Total present value of principal=
5.Total price of bonds=

1. The market expects inflation to do the following: remain at 1% for the next year and then increase to 2% for the next two years.
   1. What is the inflation premium for a 1-year security?
   2. For a 3-year security?
   3. If the real risk-free rate is 4% and the maturity risk premium is 0, what is the yield on a 1-year Treasury bond?
   4. A 3-year Treasury bond?

LAB QUESTION 1

On January 1, 2018, Major Company pays a lump sum amount of $2,000,000 for Land, Building 1, Building 2 and Land Improvements 1. Building 1 has no value and will be demolished. Building 2 will be an office and is appraised at $1,440,000 with a useful life of 20 years and a salvage value of $200,000. Land Improvements 1 is appraised at $240,000 with a useful life of 5 years and a salvage value of $40,000. The Land is appraised for $720,000. Major Company also incurs the following additional costs:

Cost to Demolish Building 1 $ 200,000
Cost of Additional Land Grading $ 60,000
Cost to Construct Building 3 $ 2,150,000 (useful life of 25 years and $150,000 salvage)
Cost to Construct Land Improvements 2 $ 90,000 (useful life of 6 years and no salvage)

1. Prepare a table with the following column headings: Land, Building 1, Building 2, Building 3, Land Improvements 1 and Land Improvements 2. Allocate the costs incurred by Major to the appropriate columns and total each column (Lab 1 Solution Tab).

2. Prepare a single journal entry to record all of the incurred costs assuming they are paid on January 1, 2018 (Lab 1 Solution Tab).

3. Using the straight-line method, prepare the December 31, 2018 adjusting entries to record the depreciation expense for the first year the assets were in use (Lab 1 Solution Tab).

LAB QUESTION 2

A machine costing $600,000 with a four year life and an estimated salvage value of $40,000 is installed in Porter Company's factory on January 1. The factory manager estimates the machine will produce 500,000 units of product during its life. It actually produces the following units: Year 1 - 240,000 units ; Year 2 - 125,000 units; Year 3 - 120,000 units and Year 4 - 25,000 units. The total number of units produced by the end of Year 4 exceeds the original estimate - the difference was not predicted - the machine cannot be deprecated below its salvage value. Populate the depreciation tables (Lab 2 Solution Tab) based on (A) Straight Line Method; (B) Units of Production Method; (C) Double Declining Balance Method

push(self, value: object) -> None:

This method adds a new element to the top of the stack.

Output:

STACK: 0 elements. []

STACK: 5 elements. [1, 2, 3, 4, 5]

pop(self) -> object:

Output:

Exception: <class ' main .StackException'> 5

4

3

2

1

Exception: <class ' main .StackException'

top(self) -> object:

Output:

No elements in stack <class ' main .StackException'> STACK: 2 elements. [10, 20]

20

20

STACK: 2 elements. [10, 20]

#Code

from dynamic_array import *

class StackException(Exception):
"""
Custom exception to be used by Stack class
DO NOT CHANGE THIS METHOD IN ANY WAY
"""
pass

class Stack:
def __init__(self):
"""
Init new stack based on Dynamic Array
DO NOT CHANGE THIS METHOD IN ANY WAY
"""
self.da = DynamicArray()

def __str__(self) -> str:
"""
Return content of stack in human-readable form
DO NOT CHANGE THIS METHOD IN ANY WAY
"""
out = "STACK: " + str(self.da.length()) + " elements. ["
out += ', '.join([str(self.da.get_at_index(_))
for _ in range(self.da.length())])
return out + ']'

def is_empty(self) -> bool:
"""
Return True is the stack is empty, False otherwise
DO NOT CHANGE THIS METHOD IN ANY WAY
"""
return self.da.is_empty()

def size(self) -> int:
"""
Return number of elements currently in the stack
DO NOT CHANGE THIS METHOD IN ANY WAY
"""
return self.da.length()

def push(self, value: object) -> None:
"""
TODO: Write this implementation
"""
pass

def pop(self) -> object:
"""
TODO: Write this implementation
"""
pass

def top(self) -> object:
"""
TODO: Write this implementation
"""
pass

# BASIC TESTING
if __name__ == "__main__":

print("\n# push example 1")
s = Stack()
print(s)
for value in [1, 2, 3, 4, 5]:
s.push(value)
print(s)

print("\n# pop example 1")
s = Stack()
try:
print(s.pop())
except Exception as e:
print("Exception:", type(e))

for value in [1, 2, 3, 4, 5]:
s.push(value)

for i in range(6):
try:
print(s.pop())
except Exception as e:
print("Exception:", type(e))

print("\n# top example 1")
s = Stack()
try:
s.top()
except Exception as e:
print("No elements in stack", type(e))
s.push(10)
s.push(20)
print(s)
print(s.top())
print(s.top())
print(s)

Rosie Dry Cleaning was started on January 1, Year 1. It experienced the following events during its first two years of operation:

Events Affecting Year 1

1. Provided $32,260 of cleaning services on account.
2. Collected $25,808 cash from accounts receivable.
3. Adjusted the accounting records to reflect the estimate that uncollectible accounts expense would be 1 percent of the cleaning revenue on account.

Events Affecting Year 2

1. Wrote off a $242 account receivable that was determined to be uncollectible.
2. Provided $37,647 of cleaning services on account.
3. Collected $33,318 cash from accounts receivable.
4. Adjusted the accounting records to reflect the estimate that uncollectible accounts expense would be 1 percent of the cleaning revenue on account.

Required
a. Organize the transaction data in accounts under an accounting equation.
b. Determine the following amounts:

1. (1) Net income for Year 1.
2. (2) Net cash flow from operating activities for Year 1.
3. (3) Balance of accounts receivable at the end of Year 1.
4. (4) Net realizable value of accounts receivable at the end of Year 1.

c. Determine the following amounts:

1. (1) Net income for Year 2.
2. (2) Net cash flow from operating activities for Year 2.
3. (3) Balance of accounts receivable at the end of Year 2.
4. (4) Net realizable value of accounts receivable at the end of Year 2.

Req A1: Organize the transaction data in accounts under an accounting equation for Year 1. (Enter any decreases to account balances with a minus sign. Not all cells in the "Accounts Titles for Retained Earnings" column may require an input - leave cells blank if there is no corresponding Retained Earnings input needed.)

Req A2: Organize the transaction data in accounts under an accounting equation for Year 2. (Enter any decreases to account balances with a minus sign. Not all cells in the "Accounts Titles for Retained Earnings" column may require an input - leave cells blank if there is no corresponding Retained Earnings input needed.)

A researcher is reviewing 26 UAS accidents and wants to prove that human error involving unsafe acts are mainly due to preconditions. Of the accident information two variables were selected to prove the Hypothesis that preconditions for unsafe acts are a greater factor than unsafe supervision. Using the provided data answer the following and show results of each step.

1. Determine normality

2. What statistical Test is most appropriate

3. Determine if the hypothesis is true

4. What test should you use to show validity of hypothesis results

5. Show all results using either mini tab, excel or stat crunch.

The weekly demand and supply schedules for pens in a free market are presented below: