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?

Consider a process that consists of three workstations: The first workstation (WS 1) takes 20 minutes per unit, the second workstation (WS 2) takes 10 minutes, and the third workstation (WS 3) takes 15 minutes per unit. Each workstation is staffed by one worker.

(a) What is the net processing time per unit?

(b) What is the cycle time per unit?

(c) What is the utilization of the process?

(d) How many units of output can be produced a day, if the process runs an 8-hour shift a day?

Cenario:

Aristotle Murphy owns movie theatres in two towns of roughly the same size, 100 kilometers apart. In Monopolia, he owns the only chain of theatres (he is a monopolist). In Competitia, there is no theatre chain and he is only one of a number of independent theatre operators.

note

In Monopolia Mr. Murphy will be a price maker (since he is a monopolist there), but in Competitia he is a more of a price taker (since he is facing monopolistic competition). Therefore one can expect his price to be lower in Competitia in both the short and long runs. He is also practicing price discrimination because he is charging two different prices for the same product because he is able to separate his customers into two different markets due to the distance between the towns.

THE Question is:

Aristotle is adamant that he does NOT want to lower his prices in Monopolia in the long run, even when new competitors appear on the scene. If you are his business consultant, how can you help him do this? What specific tactics and rationale would you advise?