Find the Banzhaf power distribution of the weighted voting system[26: 19, 15, 11, 6]Give each player's power as a fraction or decimal value P1 = P2 = P3 = P4 =
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Find the Banzhaf power distribution of the weighted voting system
[26: 19, 15, 11, 6]
Give each player's power as a fraction or decimal value
P1 =
P2 =
P3 =
P4 =
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- In horse racing, a “trifecta” occurs when a bettor wins by selecting the first three finishers in the exact order (1 St place, 2nd place, and 3rd place). How many different trifectas are possible if there are 14 horses in a race?The proportion of commuters on PSU – Berks campus is purported to be 65%. A professor believes this to be inaccurate. He randomly selects 300 students on campus and determines 200 of them to be commuters. Can the professor reject the campus claim of 65%?A school principal wants to determine which type of speaker the ștudents prefer to invite to an assembly for the entire student population. Which survey method would produce the best representative sample? A survey every fifth person who shops at a mall B survey all of the students on the student .council C survey every tenth student entering the school one morning. D survey all of the students who went to the last basketball game
- A cafeteria manager surveyed a random sample of students at a school to determine which of 2 meal choices they prefer. The results of the survey are shown below. • Chicken is preferred by 16 students. • Pasta is preferred by 20 students. Based on the results of the survey, how many of the 288 students at the school can be expected to prefer pasta?The lottery commissioner's office in a state wanted to find if the percentages of men and women who play the lottery often are different. A sample of 490 men taken by the commissioner's office showed that 150 of them play the lottery often. Another sample of 315 women showed that 69 of them play the lottery often. Let p, be the proportion of men who play the lottery often, and p2 be the proportion of women who play the lottery often. a. What is the point estimate of the difference between the two population proportions? Round your answer to two decimal places. Point estimate of p, – P2 = b. Construct a 99% confidence interval for the difference between the proportions of all men and all women who play the lottery often. Round your answers to two decimal places. to i c. Testing at a 10% significance level, can you conclude that the proportions of all men and all women who play the lottery often are different?A panel, composed of members of 3 political parties, has 60 Democrats, 64 Republicans, and 8 Greens. A committee is chosen from the panel that is proportional to the party members and relatively prime. If a two-person leadership team is chosen randomly from the committee, how many different pairs could be selected such that both members of the team are from the same party?
- The owner of a popular coffee shop wants to determine if there is a difference between the proportion of customers who use their own cups when they purchase a coffee beverage, and the proportion of customers who use their own cups when they purchase an espresso beverage. Customers using their own cups get a 5% discount, which is displayed on the receipt. The owner randomly selects 50 receipts from all coffee purchases and 50 receipts from all espresso purchases. For coffee purchases, 24 receipts showed that the customer used their own cup. For espresso purchases, 18 receipts showed that the customer used their own cup. Assuming the conditions for inference have been met, what is the 99% confidence interval for the difference in proportion of customers who use their own cups? Find the z-table here. O (0.48 - 0.36) ±2.58/ 0.48(1–0.48) , 0.36(1–0.36) 50 50 0.48(1-0.48) 0.36(1-0.36) (0.48 - 0.36) ±2.33/ 50 50 O (0.52 - 0.64)±2.58 0.52(1-0.52) 0.64(1-0.64) + 100 100 0.52(1-0.52) ,…Sample for a Poll There are 15,524,971 adults in Florida. If The Gallup organization randomly selects 1068 adults without replacement, are the selections independent or dependent? If the selections are dependent, can they be treated as being independent for the purposes of calculations?The city of Wonderland has 12000 registered voters. There are two candidates for city council in an upcoming election: Misty and Pikachu. The day before the election, a telephone poll of 350 randomly selected registered voters was conducted. 113 said they'd vote for Misty, 216 said they'd vote for Pikachu, and 21 were undecided. (a) Find the statistic for the proportion of voters surveyed who said they'd vote for Misty. Answer as a fraction or decimal, rounded to 4 places if necessary. (b) Fill in the blank below. The statistic above suggests that we could expect of the 12000 registered voters to vote for Misty.
