Let x be the number of fouls more than (i.e., over and above) the opposing team. Let y be the percentage of times the team with the larger number of fouls wins the game.

x 0 4 5 6

y 49 43 33 26

Complete parts (a) through (e), given Σx = 15, Σy = 151, Σx² = 77, Σy² = 6015, Σxy = 493, and r ≈ −0.906.

(a) Draw a scatter diagram displaying the data.

(b) Verify the given sums Σx, Σy, Σx², Σy², Σxy, and the value of the sample correlation coefficient r. (Round your value for r to three decimal places.)

Σx =

Σy =

Σx² =

Σy² =

Σxy =

r =

(c) Find x, and y. Then find the equation of the least-squares line = a + bx. (Round your answers for x and y to two decimal places. Round your answers for a and b to three decimal places.)

x =

y =

^y = + x

(d) Graph the least-squares line. Be sure to plot the point (x, y) as a point on the line.

(e) Find the value of the coefficient of determination r². What percentage of the variation in y can be explained by the corresponding variation in x and the least-squares line? What percentage is unexplained? (Round your answer for r² to three decimal places. Round your answers for the percentages to one decimal place.)

r² =

explained     %

unexplained     %

(f) If a team had x = 3 fouls over and above the opposing team, what does the least-squares equation forecast for y? (Round your answer to two decimal places.)

%

It is thought that basketball teams that make too many fouls in a game tend to lose the game even if they otherwise play well. Let x be the number of fouls more than (i.e., over and above) the opposing team. Let y be the percentage of times the team with the larger number of fouls wins the game.

Complete parts (a) through (e), given Σx = 14, Σy = 151, Σx² = 66, Σy² = 6005, Σxy = 457, and r ≈ −0.993.

(a) Verify the given sums Σx, Σy, Σx², Σy², Σxy, and the value of the sample correlation coefficient r. (Round your value for r to three decimal places.)

Σx =

Σy =

Σx2 =

Σy2 =

Σxy =

r =

(b) Find x, and y. Then find the equation of the least-squares line y = a + bx. (Round your answers for x and y to two decimal places. Round your answers for a and b to three decimal places.)

x=

y=

y = +   x

(c) Find the value of the coefficient of determination r². What percentage of the variation in y can be explained by the corresponding variation in x and the least-squares line? What percentage is unexplained? (Round your answer for r² to three decimal places. Round your answers for the percentages to one decimal place.)

r² =

explained =     %

unexplained =    %

(d) If a team had x = 4 fouls over and above the opposing team, what does the least-squares equation forecast for y? (Round your answer to two decimal places.)

= %

It is thought that basketball teams that make too many fouls in a game tend to lose the game even if they otherwise play well. Let x be the number of fouls more than (i.e., over and above) the opposing team. Let y be the percentage of times the team with the larger number of fouls wins the game.

A. given Σx = 16, Σy = 152, Σx² = 78, Σy² = 6130, Σxy = 540, and r ≈ −0.966

Verify the given sums Σx, Σy, Σx², Σy², Σxy, and the value of the sample correlation coefficient r. (Round your value for r to three decimal places.)

B. Find x, and y. Then find the equation of the least-squares line  = a + bx. (Round your answers for x and y to two decimal places. Round your answers for a and b to three decimal places.)

C. Find the value of the coefficient of determination r². What percentage of the variation in y can be explained by the corresponding variation in x and the least-squares line? What percentage is unexplained? (Round your answer for r² to three decimal places. Round your answers for the percentages to one decimal place.)

If a team had x = 3 fouls over and above the opposing team, what does the least-squares equation forecast for y? (Round your answer to two decimal places.)
%

Commercial fishermen in Alaska go into the Bering Sea to catch all they can of a
particular species (salmon, herring, etc.) during a restricted season of a few weeks.
The schools of fish move about in a way that is very difficult to predict, so the fishing in a
particular spot might be excellent one day and terrible the next.
The day-to-day records of catch size were used to discover that the probability of a good
fishing day being followed by another good day is 0.5, by a medium day 0.3, and by a poor
day 0.2.
A medium day is most likely to be followed by another medium day, with a probability of 0.4,
and equally likely to be followed by a good or bad day.
A bad day has a 0.1 probability of being followed by a good day, 0.4 of being followed by a
medium day, and 0.5 probability of being followed by another bad day.
a) (10 points) If the fishing day is bad on Monday, what is the probability that it will be
medium on Thursday?
b) (10 points) Suppose the fishing day will be good w.p. 0.25, medium w.p. 0.30 and bad
with 0.45 on the current day, which is a Tuesday. How do you think fishermen came up
with these probabilities for the current day? Argue.
c) (10 points) Given the probabilities in part b, calculate the probability of having a bad
fishing day after three days.
d) (10 points) What is the probability of four consecutive good fishing days until it gets
worse.
e) (10 points) If the fishing day is medium initially, for how many days on the average will it
remain medium? What is the distribution of this number of days?

According to a survey, 47% of adults are concerned that Social Security numbers are used for general identification. For a group of eight adults selected at random, we used Minitab to generate the binomial probability distribution and the cumulative binomial probability distribution (menu selections right-pointing arrowhead Calc right-pointing arrowhead Probability Distributions right-pointing arrowhead Binomial). Number r 0 1 2 3 4 5 6 7 8 P(r) 0.006226 0.044169 0.137091 0.243143 0.269521 0.191208 0.084781 0.021481 0.002381 P(<=r) 0.00623 0.05040 0.18749 0.43063 0.70015 0.89136 0.97614 0.99762 1.00000 (a) Find the probability that out of eight adults selected at random, at most five are concerned about Social Security numbers being used for identification. Do the problem by adding the probabilities P(r = 0) through P(r = 5). (Round your answer to three decimal places.) Is this the same as the cumulative probability P(r ≤ 5)? Yes No (b) Find the probability that out of eight adults selected at random, more than five are concerned about Social Security numbers being used for identification. First, do the problem by adding probabilities P(r = 6) through P(r = 8). (Round your answer to three decimal places.) Now do the problem by subtracting the cumulative probability P(r ≤ 5) from 1. (Round your answer to three decimal places.) Do you get the same results? Yes No

Statistics

EXERCISE 17. A die is cast three times. What is the probability a) of not getting three 6´s in succession? b) that the same number appears three times? Answer. a) 215/216. b) 6/216.

EXERCISE 18. A die is thrown three times. What is the probability a) that the sum if the three faces shown is either 3 or 4? b) that the sum if the three faces shown is greater than 4? Answer. a) 4/216. b) 212/216.

EXERCISE 19. A hunter fires 7 consecutive bullets at an angry tiger. If the probability that 1 bullet will kill is 60%, what is the probability that the hunter is still alive? Answer. 99,83616%.

EXERCISE 20. According to the U. S. Census Bureau, 62% of Americans over the age of 18 are married. Find the probability of getting two married people (not necessarily to each other) when two different Americans over the age of 18 are randomly selected. Answer. 38,4%.

EXERCISE 21. A Roper poll showed that 18% of adults regularly engage in swimming. If three adults are randomly selected, find the probability that they all regularly engage in swimming. Answer. 0,583%.

EXERCISE 22. Four firms using the same auditor independently and randomly select a month in which to conduct their annual audits. What is the probability that all four months are different? Answer. 55/96.

Please show your workings. I have provide you with the possible answers. Some of them might be wrong though. If there is not gonna be enough space you can show your working on a picture. Thank you in advance!

1. Copy the following java codes and compile

//// HighArray.java

//// HighArrayApp.java

Study carefully the design and implementation HighArray class and note the attributes and its methods.

2. Create findAll method which uses linear search algorithm to return all number of occurrences of specified element.

/**
* find an element from array and returns all number of occurrences of the specified element, returns 0 if the element does not exit.
*
* @param foundElement   Element to be found
*/
int findAll(int foundElement)

3. Modify the HighArray class to create a deleteAll method, which deletes a specified element from the array (if it exists, else return 0). Moving subsequent elements down one place in the array to fill the space vacated by the deleted element. The method should delete all the element occurrences.
   
   /**
   * Delete all element occurrences from array if found otherwise do nothing.
   *
   * @param deletedElement   Element to delete
   */
   int deleteAll(int deletedElement)

4. Modify HighArray class to create the following methods

If a truck company ABC has an initial capital outlay of $22,500, WACC of 10%, and the following 5 possible cash flow patterns, depending upon the number of years it operates its truck business,

If operating for only one year: CF₀ = -22500, CF₁ = 23750

If operating for 2 years: CF₀ = -22500, CF₁ = 6250, CF₂ = 20250

If 3 years: CF₀ = -22500, CF₁ = 6250, CF₂ = 6250, CF₃ = 17250

If 4 years: CF₀ = -22500, CF₁ = 6250, CF2 = 6250, CF3 = 6250, CF₄ = 11250

If 5 years: CF₀ = -22500, 6250 each year for 5 years

In which year should the Company abandon its operation, so the company’s NPV will achieve the highest value?

AM -vs- PM Test Scores: In my AM section of statistics there are 22 students. The scores of Test 1 are given in the table below. The results are ordered lowest to highest to aid in answering the following questions.

(a) The value of P₉₀ ---->

(b) Complete the 5-number summary.

What can we say about winning percentage and coach's salary as contributors to "Revenue"? Select one: a. Surprisingly, coach's salary has a positive impact on revenue, while winning percentage has a negative impact. b. As would be expected, winning percentage has a positive effect, and coach's salary impact is negative. c. Both winning percentage and coach's salary have a positive impact on revenue. d. More data is needed to conduct a meaningful analysis. e. Answer pending

What is the error of estimation for Alabama’s revenue?

Select one:

a. 4.1 Million

b. 10.6 Million

c. 8.3 Million

d. 0

e. Cannot be determined.