Suppose you and your friend play a game. In the game, (1) you randomly select 7...
Fantastic news! We've Found the answer you've been seeking!
Question:
Transcribed Image Text:
Suppose you and your friend play a game. In the game, (1) you randomly select 7 balls without replacement from Box A that contains 12 black balls and 16 white balls, (2) your friend randomly selects 5 balls without replacement from Box B that contains 9 black balls and 15 white balls You win the game if you get more black balls than your friend; otherwise, you lose the game. In addition, you assume that the number of black balls selected from one box DOES NOT affect the number of black balls from the other box. Therefore, the probability of selecting a black balls from Box A and y black balls from Box B can be calculated using the independent rule. P(x black balls from Box A and y black balls from Box B) = P(z black balls from Box A) x P(y black balls from Box B) Based on the assumptions above, calculate the following probabilities. Note: Round the Probability to at least 6 decimal places (0.123456) (1) You win the game with one black ball. Hint: You win the game with one black ball if your friend has no black balls. (2) You win the game with two black balls. Hint: You win the game with two black balls if your friend has at most 1 black ball. It is a good idea that makes a table to list all possible cases and to calculate the probabilities. # of black balls you have 2 ? # of black balls your friend has 0 ? Probability ??? ??? (3) You win the game with three black balls. (4) You win the game with four black balls. Suppose you and your friend play a game. In the game, (1) you randomly select 7 balls without replacement from Box A that contains 12 black balls and 16 white balls, (2) your friend randomly selects 5 balls without replacement from Box B that contains 9 black balls and 15 white balls You win the game if you get more black balls than your friend; otherwise, you lose the game. In addition, you assume that the number of black balls selected from one box DOES NOT affect the number of black balls from the other box. Therefore, the probability of selecting a black balls from Box A and y black balls from Box B can be calculated using the independent rule. P(x black balls from Box A and y black balls from Box B) = P(z black balls from Box A) x P(y black balls from Box B) Based on the assumptions above, calculate the following probabilities. Note: Round the Probability to at least 6 decimal places (0.123456) (1) You win the game with one black ball. Hint: You win the game with one black ball if your friend has no black balls. (2) You win the game with two black balls. Hint: You win the game with two black balls if your friend has at most 1 black ball. It is a good idea that makes a table to list all possible cases and to calculate the probabilities. # of black balls you have 2 ? # of black balls your friend has 0 ? Probability ??? ??? (3) You win the game with three black balls. (4) You win the game with four black balls.
Expert Answer:
Answer rating: 100% (QA)
SOLUTION 15 Red Balls 10 Total 151719 are taken at random without replacement b... View the full answer
Related Book For
Posted Date:
Students also viewed these accounting questions
-
Your instructor challenges you and your friend to each pull on a pair of scales attached to the ends of a horizontal rope, in tug-of-war fashion, so that the readings on the scales will differ. Can...
-
At a party, you and your friend are both eying the last slice of pizza. To settle the matter, you agree on the following dice game: each of you is going to roll a die; if the highest number rolled by...
-
Suppose that the leakage-adjusted money multiplier can be calculated using a simple modification of our money multiplier formula: 1/(Reserve Requirement + Excess Reserves + Cash Holding), Where each...
-
What are the costs of healthcare, where does the money come from, and where is it spent?
-
Answer these questions about receivables and uncollectibles. For the true-false questions, explain any answers that turn out to be false. 1. True or false? Credit sales increase receivables....
-
Explain why the make-or-buy decision is moot when contracts are complete.
-
Sunny Day Sunlamps, Inc., had Sales Revenue of $53 million, Sales Returns and Allowances of $2 million, and Sales Discounts of $0.3 million in 2010. Cost of goods sold was $23 million, and net income...
-
a. If 1 adult female is randomly selected, find the probability that her overhead reach is greater than 195.0 cm. b. If 25 adult females are randomly selected, find the probability that they have a...
-
How has the changing landscape of media channels, including additional online platforms and social networks, affected the credibility for new sources, especially in comparison to traditional channels...
-
In an ideal reheat-regenerative cycle steam enters the high-pressure (H.P.) turbine at 90 bar, 600C. After expansion to 7 bar, some of the steam goes to a direct contact open heater and the balance...
-
Prove that the displacement of an elastic body under the point of application of any force, in the direction of that force, is given by the partial derivative of the total internal strain energy with...
-
One of the critical articles in collective agreements deals with management rights. The employer retains all rights not curbed, abridged, or otherwise limited by a collective agreement. In other...
-
Consider your organization or an organization you are familiar with and discuss the steps you would take to analyze the organization to identify potential opportunities to add value to the...
-
Businesses should constantly access the level of engagement and contentment among their workforces. If they did this, do you think this could shift the workplace? Maybe help those employees who don't...
-
Find the points of inflection of the graph of the function. (If an answer does not exist, enter DNE.) f(x) = 6 sin x + 6 cos x, [0,2] (x, y) = (x, y) = (smaller x-value) (larger x-value) Describe the...
-
In appreciation of the mental model of Me and We Organizations, In which organization would you most likely hear the expression, "culture eats process for lunch?" What do you think is meant by this...
-
Complete this template by replacing the bracketed text with the relevant information. Selected text you will use for your project: The article "A Break Is Never a Waste of Time" by Lynn Zubernis, Ph....
-
Horse serum containing specific antibody to snake venom has been a successful approach to treating snakebite in humans. How do you think this anti-venom could be generated? What are some advantages...
-
Indicate whether each of the following constitutes data collected from a population or a sample. a. Salaries of CEOs of all companies in New York City b. Five hundred houses selected from a city c....
-
Grand Jury indictment data for Gloucester County, New Jersey, are published every week in the Gloucester County Times newspaper (www.nj.com/gloucester). The following data are the number of...
-
The following data are the ages (in years) of six students. Calculate the standard deviation. Is its value zero? If yes, why? 19 19 19 19 19 19
-
For the data set a. Find the first and third quartiles. b. Find the IQR. c. Find the upper and lower outlier boundaries. d. List all the values, if any, that are classified as outliers. 15 7 2 4 4 3...
-
A population has mean = 25 and standard deviation = 4. a. Find the z-score for a population value of 16. b. Find the z-score for a population value of 31. c. What number has a z-score of 2.5?
-
For the data set 37 82 20 25 31 10 41 44 4 36 68 a. Find the first and third quartiles. b. Find the IQR. c. Find the upper and lower outlier boundaries. d. List all the values, if any, that are...
Study smarter with the SolutionInn App