Suppose we are interested in bidding on a piece of land and we know one other bidder is interested. The seller announced that the highest bid in excess of $10,200 will be accepted. Assume that the competitor's bid x is a random variable that is uniformly distributed between $10,200 and $14,600.

a. Suppose you bid $12,000. What is the probability that your bid will be accepted (to 2 decimals)?

b. Suppose you bid $14,000. What is the probability that your bid will be accepted (to 2 decimals)?

c. What amount should you bid to maximize the probability that you get the property (in dollars)?

d. What is the expected profit for this bid (in dollars)?

Suppose we are interested in bidding on a piece of land and we know one other bidder is interested. The seller announced that the highest bid in excess of $10,500 will be accepted. Assume that the competitor's bid x is a random variable that is uniformly distributed between $10,500 and $15,200.

A) Suppose you bid $12,000. What is the probability that your bid will be accepted (to 2 decimals)?
B) Suppose you bid $14,000. What is the probability that your bid will be accepted (to 2 decimals)?
C) What amount should you bid to maximize the probability that you get the property (in dollars)?
D) What is the expected profit for this bid (in dollars)?

Suppose we are interested in bidding on a piece of land and we know one other bidder is interested. The seller announced that the highest bid in excess of $9,500 will be accepted. Assume that the competitor's bid x is a random variable that is uniformly distributed between $9,500 and $15,200.

1. Suppose you bid $12,000. What is the probability that your bid will be accepted (to 2 decimals)?
     
   
2. Suppose you bid $14,000. What is the probability that your bid will be accepted (to 2 decimals)?
     
   
3. What amount should you bid to maximize the probability that you get the property (in dollars)?

What is the expected profit for this bid (in dollars)?

Suppose we are interested in bidding on a piece of land and we know one other bidder is interested. The seller announced that the highest bid in excess of $10,000 will be accepted. Assume that the competitor’s bid x is a random variable that is uniformly distributed between $10,000 and $15,000.

a. Suppose you bid $12,000. What is the probability that your bid will be accepted (to 2 decimals)?

b. Suppose you bid $14,000. What is the probability that your bid will be accepted (to 2 decimals)?

c. What amount should you bid to maximize the probability that you get the property? (in dollars)?

d. What is the expected profit for this bid (in dollars)?

Suppose we are interested in bidding on a piece of land and we know one other bidder is interested. The seller announced that the highest bid in excess of $10,500 will be accepted. Assume that the competitor's bid x is a random variable that is uniformly distributed between $10,500 and $14,500.

Suppose you bid $12,000. What is the probability that your bid will be accepted (to 2 decimals)?

Suppose you bid $14,000. What is the probability that your bid will be accepted (to 2 decimals)?

What amount should you bid to maximize the probability that you get the property (in dollars)?

What is the expected profit for this bid (in dollars)?

Suppose that the total carbohydrates in the listed cereals are approximated by a normal curve with a mean of 30.7931 and a standard deviation of 8.8858. What is the probability that a randomly selected cereal has at most 25 grams of carbohydrates? What is the probability that a randomly selected cereal has at least 45 grams of carbohydrates? What is the probability that a randomly selected Kellogg’s cereal has between 30 and 40 grams of carbohydrates? What amount of carbohydrates would separate the lowest 10% of Kellogg’s cereals? What amount of carbohydrates would separate the highest 5% of Kellogg’s cereals? Show your work or calculator syntax

The Math 122 Midterm Exam is coming up. Suppose the exam scores are normally distributed with a population mean of 73.8% and a standard deviation of 11.3%.

Let's first create a simulation to observe the expected results for a class of Math 122 students. In Excel, create 25 random samples of 23 students each. This means you should have 23 entries in each column, and you should be using columns A - Y. If you need a refresher for creating a random sample that is normally distributed, you can review the Technology Corner from Module 2.

After creating your random samples, copy all the numbers then use the "Paste Values" option in Excel to lock the numbers in place. Save your file, then attach it here:

Now find the mean of each sample.

What is the highest mean?

What is the lowest mean?

Note: While there are no points associated with the attachment or the highest/lowest mean, points will be deducted for not completing this portion or doing it incorrectly. These should be used to help you understand the remainder of the problem.

What is the probability of a student getting a score of 90% or better?  (Round to four decimal places. This should be the theoretical probability that is calculated, NOT the empirical probability from the simulation.)

What is the probability of a class of 23 students having a mean of 90% or better?  (Round to six (6) decimal places.This should be the theoretical probability that is calculated, NOT the empirical probability from the simulation.)

Explain, in your own words, why the answers to these two questions are drastically different. Your explanation should include:

• references to your simulation
• references to your calculations
• common sense explanation

On November 1, 2017, Tom Riddle started his business IMLV, a Sole proprietorship by transferring $50,000 from his personal bank account into a bank account for IMLV. In addition to starting the business, the following transactions occurred:

Part A
11/2 Prepaid office rent for the following 12 months starting with December in the amount of $18,000

11/6 Purchased office furniture from Weasley Interiors and paid $6,000 cash

11/6 Purchased office equipment from Potter Electronics for $7,500 on credit

11/8 Billed Olivander's Supply $2,500 for services performed

11/10 Purchased office supplies from Dumbledore for $600 cash.

11/18 Paid $12,000 in advance to Hogsmead marketing for marketing services

11/21 Billed Gringot's Financial Services, $7,000 for services performed

11/26 Completed work for a customer and received $11,000 cash

11/29 Paid his assistant Creature $500 cash for part time help.

Part B
12/3 Received $4,500 from Gringot's Financial Services for services performed in November

12/7 Received $700 from Oliveander's Supply for services performed in November

12/18 Paid assistant Creature $1,200 cash for part time help

12/19 Received a utility bill for November's Utilities in the amount of $800 Purchased liability insurance from Diagon Insurance for $12,000 paid in advance. The policy is for 12

12/20 months

12/21 Paid $3,500 to Potter Electronics for office equipment purchased in November

12/30 Recorded December's rent expense

12/30 Recorded one month's marketing expense which was paid in advance in November

12/30 Recorded office equipment depreciation of $125.00

12/30 Recorded office furniture depreciation of $71.00 12/30 Paid assistant Creature $1,200 cash for part time help

12/30 Tom withdrew $2,500 for personal expenses
Instructions:

1. Using the given information and worksheets, prepare the ending Income Statement, Statement of Owner's Equity and Balance Sheet for IMLV.

A local instructor wants you to write a c++ program using arrays to calculate the average score made on exams by her students. For simplicity, she always has only 12 students in each course she teaches. She teaches multiple subjects so she would like to enter the name of the exam. She wants the program to also determine the highest and lowest scores and the number of students who passed and failed the exam. A score of 60 or above is considered passing. Also determine the number of scores that were an A (90 or better), B (80 – 89), C (70 – 79), D (60 – 69), or F (below 60).

• Use main( ) as the driver function. Allow the user to process as many exams as desired.

1. Write a function to prompt the user for the following information:
   (a) The name of the exam.
(b) The 12 integer scores ranging from 0 to 100. (Store these scores in a one-dimensional array.
Perform input/data validation.)
2. Write a function to determine the highest and lowest score. (Hint: Code is in your etext section:
Finding the Highest and Lowest Values in a Numeric Array)
3. book or see assignment #1.)
4. Write a function to calculate the average score for the exam. (Hint: Code is in your etext section:
Finding the Highest and Lowest Values in a Numeric Array)
5. Write a function to determine the number of students who passed and failed the exam.
6. Write a function to determine the number of scores represented by each letter grade in a standard 10-
point grading scale.
7. Write a function to display the exam’s name, all 12 scores recorded on the exam, the average score, the highest and lowest score, the number of students who passed and failed the exam, and number of scores that were represented by each letter grade in the standard 10-point grading scale. Display the average to a hundredth of a decimal.

(Write a program in C++)

A local instructor wants you to write a program to calculate the average score made on exams by her students. For simplicity, she always has only 12 students in each course she teaches. She teaches multiple subjects so she would like to enter the name of the exam. She wants the program to also determine the highest and lowest scores and the number of students who passed and failed the exam. A score of 60 or above is considered passing. Also determine the number of scores that were an A (90 or better), B (80 – 89), C (70 – 79), D (60 – 69), or F (below 60).

• Use main( ) as the driver function. Allow the user to process as many exams as desired.

1. Write a function to prompt the user for the following information:

(a) The name of the exam.

(b) The 12 integer scores ranging from 0 to 100. (Store these scores in a one-dimensional array.

Perform input/data validation.)

2. Write a function to determine the highest and lowest score. (Hint: Code is in your etext section:

Finding the Highest and Lowest Values in a Numeric Array)

3. book or see assignment #1.)

4. Write a function to calculate the average score for the exam. (Hint: Code is in your etext section:

Finding the Highest and Lowest Values in a Numeric Array)

5. Write a function to determine the number of students who passed and failed the exam.

6. Write a function to determine the number of scores represented by each letter grade in a standard 10-

point grading scale.

7. Write a function to display the exam’s name, all 12 scores recorded on the exam, the average score,

the highest and lowest score, the number of students who passed and failed the exam, and number of scores that were represented by each letter grade in the standard 10-point grading scale. Display the average to a hundredth of a decimal.