A)The life expectancy in the United States has a mean of 75 with a standard deviation of 7 years and follows a normal distribution.

What is the probability of an individual living longer than 80 years?

b)In the two upcoming basketball games, the probability that UTC will defeat Marshall is 0.63, and the probability that UTC will defeat Furman is 0.55. The probability that UTC will defeat both opponents is 0.3465.

What is the probability that UTC will defeat Furman given that they defeat Marshall?

c) In the two upcoming basketball games, the probability that UTC will defeat Marshall is 0.63, and the probability that UTC will defeat Furman is 0.55. The probability that UTC will defeat both opponents is 0.3465.

Are the outcomes of the games independent? Explain and given reasoning for your answer.

What is the probability that UTC will win Furman or Marshall?

In the United States, voters who are neither Democrat nor Republican are called Independent. It is believed that 13% of voters are Independent. A survey asked 33 people to identify themselves as Democrat, Republican, or Independent.

A. What is the probability that none of the people are Independent?

Probability =

B. What is the probability that fewer than 6 are Independent?

Probability =

C. What is the probability that more than 3 people are Independent?

Probability =

In the United States, voters who are neither Democrat nor Republican are called Independent. It is believed that 12% of voters are Independent. A survey asked 30 people to identify themselves as Democrat, Republican, or Independent.

A. What is the probability that none of the people are Independent?

Probability =

B. What is the probability that fewer than 6 are Independent? Probability =

C. What is the probability that more than 2 people are Independent? Probability =

Calculating the probability that in a class of 20 students, there are at least two with the same birthday.

(a) First, calculate the probability that each student has a different birthday as follows (round to four decimal places)

b) Explain briefly why the above probability is calculated that way.

(c) Now note that the probability that there are at least two with the same birthday is the complement of the above probability. What is the probability that there are at least two with the same birthday

Assume that the age at onset of a certain disease is distributed normally with a mean of 43 years and a variance of 177.69 years.

a) What is the probability that an individual afflicted with the disease developed it before age 31?
probability =  

b) What is the probability that an individual afflicted with the disease developed it after age 48?
probability =  

c) What is the probability that an individual afflicted with the disease developed it between ages 31 and 48?
probability =  

In the United States, voters who are neither Democrat nor Republican are called Independent. It is believed that 10% of voters are Independent. A survey asked 22 people to identify themselves as Democrat, Republican, or Independent.

A. What is the probability that none of the people are Independent? Probability =

B. What is the probability that fewer than 5 are Independent? Probability =

C. What is the probability that more than 17 people are Independent? Probability =

Three different companies each purchased trucks on January 1, Year 1, for $60,000. Each truck was expected to last four years or 250,000 miles. Salvage value was estimated to be $5,000. All three trucks were driven 79,000 miles in Year 1, 47,000 miles in Year 2, 51,000 miles in Year 3, and 74,000 miles in Year 4. Each of the three companies earned $49,000 of cash revenue during each of the four years. Company A uses straight-line depreciation, company B uses double-declining-balance depreciation, and company C uses units-of-production depreciation.

Answer each of the following questions. Ignore the effects of income taxes.

Required

1. a-1. Calculate the net income for Year 1.

2. a-2. Which company will report the highest amount of net income for Year 1?

3. b-1. Calculate the net income for Year 4.

4. b-2. Which company will report the lowest amount of net income for Year 4?

5. c-1. Calculate the book value on the December 31, Year 3, balance sheet.

6. c-2. Which company will report the highest book value on the December 31, Year 3, balance sheet?

7. d-1. Calculate the retained earnings on the December 31, Year 4, balance sheet.

8. d-2. Which company will report the highest amount of retained earnings on the December 31, Year 4, balance sheet?

   e. Which company will report the lowest amount of cash flow from operating activities on the Year 3 statement of cash flows?

Develop a class Polynomial. The internal representation of a Polynomial is an array of terms. Each term contains a coefficient and an exponent. has the coefficient 2 and the exponent 4. The User should be able to add as many terms as he wants, so the array should be dynamic.

Develop a complete class containing proper constructor and destructor functions as well as set and get functions. The class should also provide the following overloaded operator capabilities:

1. Overload the addition operator (+) to add two Polynomials.

2. Overload the subtraction operator (-) to subtract two Polynomials.

3. Overload the assignment operator to assign one Polynomial to another.

4. Overload the multiplication operator (*) to multiply two Polynomials.

5. Overload the addition assignment operator (+=), subtraction assignment operator (-=), and multiplication assignment operator (*=).

6. Enable input and output of Polynomials via overloaded >> and << operators, respectively.

Provide 3 more classes, derived from the main Polynomial class:

1. Linear (highest-degree term is of 1st degree)

2. Quadratic (highest-degree term is of 2nd degree)

3. Cubic (highest-degree term is of 3rd degree)

If the user tries to enter a higher degree polynomial into one of these classes, then print out the error and only store the terms that are valid. In the main function, create instances of all the classes defined, i.e. Linear, Quadric, Cubic, and Polynomial, and test out all these operations on those objects, and print the results on the console.

Explain the code in your own words in a paragraph.

Three different companies each purchased trucks on January 1, Year 1, for $72,000. Each truck was expected to last four years or 200,000 miles. Salvage value was estimated to be $7,000. All three trucks were driven 67,000 miles in Year 1, 42,000 miles in Year 2, 40,000 miles in Year 3, and 62,000 miles in Year 4. Each of the three companies earned $61,000 of cash revenue during each of the four years. Company A uses straight-line depreciation, company B uses double-declining-balance depreciation, and company C uses units-of-production depreciation. Answer each of the following questions. Ignore the effects of income taxes. Required a-1. Calculate the net income for Year 1. a-2. Which company will report the highest amount of net income for Year 1? b-1. Calculate the net income for Year 4. b-2. Which company will report the lowest amount of net income for Year 4? c-1. Calculate the book value on the December 31, Year 3, balance sheet. c-2. Which company will report the highest book value on the December 31, Year 3, balance sheet? d-1. Calculate the retained earnings on the December 31, Year 4, balance sheet. d-2. Which company will report the highest amount of retained earnings on the December 31, Year 4, balance sheet? e. Which company will report the lowest amount of cash flow from operating activities on the Year 3 statement of cash flows?

1. Wellness Data – Cholesterol levels.

Your worksite has instituted a new wellness program. As part of the plan for future evaluation of the effectiveness of the program, data are collected on a variety of health measures. These data are being collected every three months for the next two years. One of the measures collected by researchers was employee's cholesterol level. Initial data for 60 employees is listed below.

1. Find the highest and the lowest scores and place your data into an array, arranging values from highest to lowest

2. Evaluate your data. Do you see any clusters of scores, and are there any gaps in the data

3. What intervals should be used and why. Remember that your intervals must be equal and non-overlapping. Your intervals do NOT need to begin or end with your highest/lowest values.

4. Construct a frequency table for these data including intervals, frequency, relative frequency, and cumulative relative frequency and then create histograms and frequency polygons for these data.