Question 3 Left-Handed Right-Handed Cricket .24 .1 Football .15 .1 Other .15 .26 a) Compute the probability of playing football for a left-handed person b) If someone plays Cricket, estimate the probability of being right-handed c) Compute the probability of playing Football and Cricket d) Compute the probability of being right-handed or left-handed
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- In the game Rock paper Scissors, two players simultaneously choose one of three options: rock, paper, or scissors. If both players choose the same option, then the result is a tie. However, if they choose differently, the winner is determined as follows: Rock beats scissors, because a rock can break a pair of scissors. Scissors beats paper, because scissors can cut paper. Paper beats rock, because a piece of paper can cover a rock. Create a game in which the computer randomly chooses rock, paper, or scissors. Let the user enter a character, r, p, or s, each representing one of the three choices. Then, determine the winner. Save the application as RockPaperScissors.cs.When you borrow money to buy a house, a car, or for some other purpose, you repay the loan by making periodic payments over a certain period of time. Of course, the lending company will charge interest on the loan. Every periodic payment consists of the interest on the loan and the payment toward the principal amount. To be specific, suppose that you borrow $1,000 at an interest rate of 7.2% per year and the payments are monthly. Suppose that your monthly payment is $25. Now, the interest is 7.2% per year and the payments are monthly, so the interest rate per month is 7.2/12 = 0.6%. The first months interest on $1,000 is 1000 0.006 = 6. Because the payment is $25 and the interest for the first month is $6, the payment toward the principal amount is 25 6 = 19. This means after making the first payment, the loan amount is 1,000 19 = 981. For the second payment, the interest is calculated on $981. So the interest for the second month is 981 0.006 = 5.886, that is, approximately $5.89. This implies that the payment toward the principal is 25 5.89 = 19.11 and the remaining balance after the second payment is 981 19.11 = 961.89. This process is repeated until the loan is paid. Write a program that accepts as input the loan amount, the interest rate per year, and the monthly payment. (Enter the interest rate as a percentage. For example, if the interest rate is 7.2% per year, then enter 7.2.) The program then outputs the number of months it would take to repay the loan. (Note that if the monthly payment is less than the first months interest, then after each payment, the loan amount will increase. In this case, the program must warn the borrower that the monthly payment is too low, and with this monthly payment, the loan amount could not be repaid.)(Data processing) Your professor has asked you to write a C++ program that determines grades at the end of the semester. For each student, identified by an integer number between 1 and 60, four exam grades must be kept, and two final grade averages must be computed. The first grade average is simply the average of all four grades. The second grade average is computed by weighting the four grades as follows: The first grade gets a weight of 0.2, the second grade gets a weight of 0.3, the third grade gets a weight of 0.3, and the fourth grade gets a weight of 0.2. That is, the final grade is computed as follows: 0.2grade1+0.3grade2+0.3grade3+0.2grade4 Using this information, construct a 60-by-7 two-dimensional array, in which the first column is used for the student number, the next four columns for the grades, and the last two columns for the computed final grades. The program’s output should be a display of the data in the completed array. For testing purposes, the professor has provided the following data:
- (Probability) The probability that a phone call will last less than t minutes can be pproximated by the exponential probability function: Probability that a call lasts less than t minutes=1et/a aistheaveragecalllength.eisEulersnumber( 2.71828). For example, assuming the average call length is 2 minutes, the probability that a call will last less than 1 minute is calculated as 1e1/2=0.3297. Using this probability equation, write a C++ program that calculates and displays a list of probabilities of a call lasting less than 1 minute to less than 10 minutes, in 1-minute increments.Consider the definition of the class product Type as given in Exercise 8. Answer the following questions. (1, 2, 3, 5, 7) a. Write the definition of the function set so that instance variables are set according to the paramaters. Instance variables quantitieslnStock, price, and discount must be nonnegative. b. Write the definition of the function print to output the values of the instance variables. c Write the definition of the function setQuantitiesInStock to set the value of the instance variable quantitiesInStock according to the parameter. d. Write the definition of the function updateQuantitiesInStock to update the value of instance variable quantitiesInStock by adding the value of the parameter. e. Write the definition of the function getQuantitiesInStock to return the value of instance variable quantitiesInStock. f. Write the definition of the function setPrice to set the value of the instance variable price according to the parameter. g. Write the definition of the function getPrice to return the value of the instance variable price. h. Write the definition of the function setDiscount to set the value of the instance variable discount according to the parameter. i. Write the definition of the function getDiscount to return the value of the instance variable discount.One way to determine how healthy a person is by measuring the body fat of the person. The formulas to determine the body fat for female and male are as follows: Body fat formula for women: A1 = (body weight x 0.732) + 8.987 A2 = wrist measurement (at fullest point)/3.140 A3 = waist measurement (at navel) x 0.157 A4 = hip measurement (at fullest point) x 0.249 A6 = forearm measurement (at fullest point) x 0.434 B = A1 + A2 A3 A4 + A5 Body fat = body weight - B Body fat percentage = body fat x 100/body weight Body fat formula for men: A1 = (Body weight x 1.082) + 94.42 A2 = wrist measurement x 4.15 B = A1 A2 Body fat = body weight B Body fat percentage = body fat x 100/body weight Write a program to calculate the body fat of a person.
- (General math) a. Construct a class named Cartesian containing two double-precision data members named x and y, which will be used to store the x and y values of a point in rectangular coordinates. The member functions should include a constructor that initializes an object’s x and y values to 0 and functions to input and display an object’s x and y values. Additionally, include an assignment function that performs a memberwise assignment between two Cartesian objects. b. Include the class written for Exercise 2a in a working C++ program that creates and displays the values of two Cartesian objects; the second object is assigned the values of the first object.A(n) ____________ is one instance or variable of a class.Chapter 10 defined the class circleType to implement the basic properties of a circle. (Add the function print to this class to output the radius, area, and circumference of a circle.) Now every cylinder has a base and height, where the base is a circle. Design a class cylinderType that can capture the properties of a cylinder and perform the usual operations on the cylinder. Derive this class from the class circleType designed in Chapter 10. Some of the operations that can be performed on a cylinder are as follows: calculate and print the volume, calculate and print the surface area, set the height, set the radius of the base, and set the center of the base. Also, write a program to test various operations on a cylinder.
- (Practice) You’re given the job of preparing a complete meal for five people next weekend. Determine a set of subtasks to accomplish this task. (Hint: One subtask, not necessarily the first, is buying the food.)(Mechanics) The deflection at any point along the centerline of a cantilevered beam, such as the one used for a balcony (see Figure 5.15), when a load is distributed evenly along the beam is given by this formula: d=wx224EI(x2+6l24lx) d is the deflection at location x (ft). xisthedistancefromthesecuredend( ft).wistheweightplacedattheendofthebeam( lbs/ft).listhebeamlength( ft). Eisthemodulesofelasticity( lbs/f t 2 ).Iisthesecondmomentofinertia( f t 4 ). For the beam shown in Figure 5.15, the second moment of inertia is determined as follows: l=bh312 b is the beam’s base. h is the beam’s height. Using these formulas, write, compile, and run a C++ program that determines and displays a table of the deflection for a cantilevered pine beam at half-foot increments along its length, using the following data: w=200lbs/ftl=3ftE=187.2106lb/ft2b=.2fth=.3ft18. Tom and Jerry opened a new lawn service. They provide three types of services: mowing, fertilizing, and planting trees. The cost of mowing is $35.00 per 5,000 square yards, fertilizing is $30.00 per application, and planting a tree is $50.00. Write an algorithm that prompts the user to enter the area of the lawn, the number of fertilizing applications, and the number of trees to be planted. The algorithm then determines the billing amount. (Assume that the user orders all three services.) (9)
