Baseball's World Series is a maximum of seven games, with the winner being the first team to win four games. Assume that the Atlanta Braves are playing the Minnesota Twins in the World Series and that the first two games are to be played in Atlanta, the next three games at the Twins' ballpark, and the last two games, if necessary, back in Atlanta. Taking into account the projected starting pitchers for each game and the home field advantage, the probabilities of Atlanta winning each game are as follows:

a. Set up a spreadsheet simulation model in whether Atlanta wins each game is a random variable. What is the probability that the Atlanta Braves win the World Series? If required, round your answer to two decimal places.

b. What is the average number of games played regardless of winner? If required, round your answer to one decimal place.

Using the R package to answer the following two questions. You MUST submit your R code for analysis.

2. Below are heights for a simple random sample of n = 15 young trees (in cm). (50 pts) 27, 33, 33, 34, 36, 37, 39, 40, 40, 41, 41, 42, 44, 46, 47.
(a) Test the hypothesis that the mean tree height is equal to 38 cm.
(b) Calculate the 95% confidence interval for the population mean of young trees.

(c) Test the null hypothesis that the mean tree height is not greater than 36.5 cm.

With C language

A slot machine has three windows. A random fruit is picked for each window from cherry, apple, lemon, and orange. If all three windows match, the user wins 8 times the bet amount. If the first two windows only are cherries, the user wins 3 times the bet amount. If the first window is a cherry and the second window is not a cherry, the user wins the bet amount. Otherwise, the player loses their bet. Write a C program that will first allow the user to enter a bet amount. Next, the program should pick 3 random fruits for the 3 windows and print the 3 fruits picked. Lastly, the amount of money won or lost by the user should be displayed.

With C language

A slot machine has three windows. A random fruit is picked for each window from cherry, apple, lemon, and orange. If all three windows match, the user wins 8 times the bet amount. If the first two windows only are cherries, the user wins 3 times the bet amount. If the first window is a cherry and the second window is not a cherry, the user wins the bet amount. Otherwise, the player loses their bet. Write a C program that will first allow the user to enter a bet amount. Next, the program should pick 3 random fruits for the 3 windows and print the 3 fruits picked. Lastly, the amount of money won or lost by the user should be displayed.

General Instructions Upload Matlab files for Assignment 8 to the appropriate link on Blackboard. Upload final Matlab files (YourINITIALSfilename.m), separately. Print program flowcharts, listings (a copy of the Matlab code) and requested sample runs, and submit each on the due date. Deliverables: For each program submit a flowchart, listing of the code, a sample run and the program’s Matlab (.m) file.

Problems: 1. The “filename” in YourINITIALSfilename.m for this program is “cylinder”. Create a flowchart and a corresponding Matlab program that outputs a hollow cylinder’s inner diameter, surface area and volume when a user enters cylinder height (h), outer diameter (d) and inner diameter as a percentage (p) of outer diameter. This program must prompt the user to accept any reasonable value for height, outer diameter and percentage (0-100%). In the submitted file after the listing for the final program, provide the results for one sample run of the program with h = 1 in, d = 2 in and p = 50%.

A radio station runs a promotion at an auto show with a money box with 14 ​$50 ​tickets, 10 ​$25 ​tickets, and 15 ​$5 tickets. The box contains an additional 20 ​"dummy" tickets with no value. Three tickets are randomly drawn. Find the probability that all three tickets have no value. The probability that all three tickets drawn have no money value is nothing. ​(Round to four decimal places as​ needed.)

your ANOVA variable is Depth, and your collection is Malone

Compute the correlation coefficient between the variables graphed (use the data from the data sheet) (3 pt)
r = _______________________

(Malone) predict the gape of a bluegill with depth 40 mm. Please include units with your answer.
Answer: ______________

Some managers do not want to become overly friendly with their subordinates because they are afraid that doing so will impair their objectivity in conducting performance appraisals and making decisions about pay raises and promotions. Some subordinates resent it when they see one or more of their coworkers being very friendly with the boss; they are concerned about the potential for favoritism. Their reasoning runs something like this: If two subordinates are equally qualified for a promotion and one is a good friend of the boss and the other is a mere acquaintance, who is more likely to receive the promotion?

Questions

Either individually or in a group, think about the ethical implications of managers’ becoming friendly with their subordinates.

Do you think managers should feel free to socialize and become good friends with their subordinates outside the workplace if they so desire? Why or why not?

A 100 g bullet traveling in the x-direction at 100 m/s strikes a 1 kg wooden block at
rest. After the collision, wooden block splits into two parts [.2 kg and .8 kg] and the
bullet is observed traveling at a speed of 50 m/s in the x-direction. Assume that the
wooden pieces are traveling in the x-y plane and the .8 kg piece is traveling 30 degrees to the
right of the x-direction. If the kinetic energies of the wooden pieces are equal after the
collision,
i) In which direction is the .2 kg piece moving?
ii) What are the velocities of the two wooden pieces?
iii) How much kinetic energy is lost during the collision?

Design and construct a computer program in one of the approved languages (C++) that will illustrate the use of a fourth-order explicit Runge-Kutta method of your own design. In other words, you will first have to solve the Runge-Kutta equations of condition for the coefficients of a fourth-order Runge-Kutta method. See the Mathematica notebook on solving the equations for 4th order RK method. That notebook can be found at rk4Solution.nb . PLEASE DO NOT USE a[1] = 1/2 or a[2] = 1/2. In general, you should pick a[1] and a[2] to be distinct values greater than zero and less than one. Then, you will use these coefficients in a computer program to solve the ordinary differential equation below. Be sure to follow the documentation and programming style policies of the Computer Science Department.

The initial value problem to be solved is the following: x'(t) = 3 x2 cos(5 t) subject to the initial condition: x(0) = 1.0 Obtain a numerical solution to this problem over the range from t=0.0 to t=2.0 for seven different values of the stepsize, h=0.1, 0.05 , 0.025 , 0.0125 , 0.00625 , 0.003125 , and 0.0015625 . In other words, make seven runs with 20, 40, 80, 160, 320, 640, and 1280 steps, respectively. For each run, print out the value of h, then a table of t and x, and then the error at t=2. You may use the following very precise value for your "true answer" in order to compute the error at t=2: 0.753913186469598763502963347. The true solution of this differential equation resembles the following plot of x(t) as a function of t.