1-Look up the requested values using book tables. You may check with a calculator, but enter the table value.

   Let T denote a t-distribution variable with 14 degrees of freedom. Find:

P(T>1.761)=?

Note: Enter X.XX AT LEAST ONE DIGIT BEFORE THE DECIMAL, TWO AFTER and round up. Thus, 27 is entered as 27.00, 3.5 is entered as 3.50, 0.3750 is entered as 0.38

2-Look up the requested values using book tables. You may check with a calculator, but enter the table value.

     Find the normal distribution P VALUE used for a Greater Than one-sided alternative hypothesis test with a test statistic z=2.32.

Note: Enter X.XX AT LEAST ONE DIGIT BEFORE THE DECIMAL, TWO AFTER and round up. Thus, 27 is entered as 27.00, 3.5 is entered as 3.50, 0.3750 is entered as 0.3

3-Look up the requested values using book tables. You may check with a calculator, but enter the table value.

     Find the standard normal distribution Critical VALUE used for a Less Than one-sided alternative hypothesis test with a 1% significance level.

Note: Enter X.XX AT LEAST ONE DIGIT BEFORE THE DECIMAL, TWO AFTER and round up. Thus, 27 is entered as 27.00, 3.5 is entered as 3.50, 0.3750 is entered as 0.3

4-Look up the requested values using book tables. You may check with a calculator, but enter the table value.

   Let T denote a t-distribution variable with 25 degrees of freedom. Find:

P(T<-0.684)=?

Note: Enter X.XX AT LEAST ONE DIGIT BEFORE THE DECIMAL, TWO AFTER and round up. Thus, 27 is entered as 27.00, 3.5 is entered as 3.50, 0.3750 is entered as 0.38

5-Use a CALCULATOR to compute the below probability.

     Suppose a basketball player hits and average of 60% of his free throws. In a game with 15 independent free throws, what is the probability he makes exactly 12 baskets?

Note: Enter X.XX AT LEAST ONE DIGIT BEFORE THE DECIMAL, TWO AFTER and round up. Thus, 27 is entered as 27.00, 3.5 is entered as 3.50, 0.3750 is entered as 0.3

1. a) Based on recent statistics, Green Way Airlines expects 4.2% of its customers will be “no shows”. If the airline sold 260 seats for a flight, how many people would the airline expect as “no-shows”? (Round to the nearest whole number)

b) If the airplane can hold 254 passengers, can all those who show up at the gate get on the plane? Explain

2. JK Builders bought 35 acres of land for a housing development. They will give 1.75 acres to the city for a playground and subdivide the remaining land into house lots of 0.875 acres. How many house lots can be formed?    

3. The average snowfall amounts for 5 winter months in Burlington, Vermont are given in the table.

    a) Find the mean snowfall amount.   

   b) Find the median snowfall amount.                                                                                                             

4. Volunteers from Habitat for Humanity are painting 16 interior walls in new homes that have been built. Each wall measures 14 feet by 6 2/3 feet.

a) If a gallon of paint covers 400 square feet, how many gallons will be required to paint all the walls? (Round to next whole number)

b) If each gallon costs $27.95, find the cost of the project.

5. In a recent year, wind machines in the United States generated 17.8 billion kilowatt-hours of electricity (enough to power more than 1.6 million households). The nation’s total electricity production was 4450 billion kilowatt-hours. What percent of the total electrical energy production was generated by wind machines?

6. If a 5 1/4 inch line on a map represents a 9-mile road, how many miles would be represented by a 3 1/2 inch line?

7. At a fire sale, items are being sold at 3/4 off the marked price. What is the sale price of an item that has a marked price of $156?

8. Sixteen ounces of mouthwash costs $3.49 while a 33-ounce container of the same brand costs $6.99. Which is a better buy? Why?

9. The price of gasoline jumped from $3.24 per gallon to $4.05 per gallon in one year. What was the percent increase?

10. You buy 2.75 yards of material at $4.80 per yard and pay $0.87 sales tax. What is the total cost for your purchase?

11. Ruth orders clothes from a retail catalog. She orders two turtleneck tops for $35 each, two pairs of stretch pants for $45 each, one winter jacket for $130, and three leather belts for $25 each. The shipping and handling charge for the order is $15. What is the total charge for Ruth’s order?

12. A recipe for a wedding punch calls for 12 quarts of champagne. If the champagne comes in bottles that are 4/5 of a quart, how many bottles of champagne would be needed?

13. One bank offers a 4-year car loan at an annual simple interest rate of 7% plus a loan application fee of $45. A second bank offers 4-year car loans at an annual simple interest rate of 8% but no loan application fee. If you need to borrow $5800 to purchase a car, which of the two bank loans has the lesser loan cost? (Assume you keep the car for all 4 years.)

14. In a recent survey of new car buyers, 20 of 63 men said they would prefer to buy a silver car while 16 of 49 women said they would prefer silver.

a) Which group has a stronger preference for silver cars?

b) Explain your answer

15. How many acres are contained in 1 square mile? (1 mile = 5280 ft.; 1 acre = 43,560 sq. ft.)

(1) Covert a Hexadecimal to decimal (there is a video for you to watch too). Then write a program that can convert a binary to decimal (only for integer case).

a) Directly use Java built-in method to do this. In this case, only couple lines of code. Hint: Study Integer class in Java.

b) Write your own code to convert a binary to decimal from scratch. The input is a binary string. The program output is its corresponding decimal value. This way you need to design the algorithm.

The value of f depends on two independent variables x and y as defined below:

f(x,y)=x2+y2−x+3cos(x)sin(y)

Function f has a minimum in the neighborhood of the origin (i.e. [0 0]). Find x and y which minimize f.

Note: You are not allowed to use MATLAB built-in functions for optimization. Follow the logic of the derivative test:

The minimum of f occurs where:

∂f∂x=0∂f∂y=0

In matlab.write a program that converts a numerical date given by the user into a month, day, and year. Specifically, the user should input a sequence of eight numbers 05141956.

the program should print out the same date in complete format. In this example it would print "The date is May 14th, 1956". Notice the "th" addition after the day. This changes depending on the number. Make sure this feature is included. MATLAB has built-in date conversion functions. You cannot use them in this exercise.

Indicate whether each of the following was counted in the United States gross domestic product for the year 1998. Explain each of your answers.

a) The commission earned by a Realtor who sold a house in 1998. The house was originally built in 1955.

b) The value of an automobile produced in 1998, but sold on January 1st, 1999.

c) The $1000 that Kevin earned from a stock that he bought and sold in 1998.

d) The value of blenders produced in 1998 entirely in Germany by a company that is owned by American citizens.

If you a buy a house for $150,000, live in it for more than two years, and sell it for $350,000 you pay NO TAX on this $200,000 realized gain. By contrast, if you invest $150,000 in a stock and sell the stock for $350,00 after more than one year, you must pay long term capital gains taxes of 15% on the $200,000 realized net long term capital gain. Why is this different treatment, which favors real estate over stock investments, built into the tax code?

All the Greek tragedies center on man's failure because of "hubris." Many eyes are watching billionaire Elon Musk's progress in pushing out the Tesla Model 3. Do you think Elon used the AFN equation when he built the new battery factory and adapted an old Toyota facility to build the Model 3? Did Tesla grow too fast? Do you think Elon will make it? How might he have done it better?

4. Imagine that you are asked to choose between two businesses (electric companies) that will supply electricity to your home. One of these electric companies burns coal in a facility built in 1963. It has not been retrofitted with pollution-control equipment, but it offers electricity at a relatively low price. The other firm has been retrofitted with pollution-control equipment and generates a large percentage of its electricity from dams, windmills, and solar panels but its price for electricity is almost 50% higher.

Write a function in any functional programming language that will reverse a general list. For example, if an input is (A (B C (D E)) F), output is (F ((E D) C B) A).  Please note that any built-in/pre-defined function, e.g., reverse, cannot be used in your answer.

Please DO NOT hard-code any input values, output values in your code.

Please submit a screenshot of where your code got compiled, executed, showing the execution result