A and B stand in a line at random with 10 other people. What is the probability that there are exactly 3 people between A and B?
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Q: 10. What is the probability that in a random group of 10 people at least two have the same birthday?
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A: mean=100 standard deviation=15 x=85 Normal distribution formula: z = (x - mean)/standard deviation
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- Consider a tournament between N teams, each team playing each of the other teams. Show (by example) there is a tournament that might occur, where every team is beaten by some team.What if X doesn't have a value?A drawer contains 7 pair of socks where 8 socks are white, and 6 are red. In how many ways we can take 14 random socks out of the drawer so each sock is next to its matching pair. a. 441 ways b. 42 ways c. 1225 ways d. 70 ways
- Suppose that the only currency were 3-dollar bills and 10-dollar bills. Show that every amount greater than 17 dollars could be made from a combination of these bills.Solve it and provide the 100% correct answer with covering of all test cases.Draw the TST that results when the keys "now is the time for all good people to come to the aid of" are inserted in that order into an initially empty TST
- Implement Velocity Verlet • Bouncing test: Simulate two particles starting from some distance approaching each other with some speed. Plot x(t), v(t), V(t), K(t) and H(t). Are they bouncing? Is H conserved? • Find the longest ∆t that conserves H to high precision in the bouncing test . I want simulation in pythonAssume we have a game that uses synchronized simulation. If we want to extendthe game by including new players, which will become the limiting factor first: thenumber of human players or the number of synthetic players?The Josephus problem is the following game: N people, numbered 1 to N, are sitting in a circle. Starting at person 1, a hot potato is passed. After M passes, the person holding the hot potato is eliminated, the circle closes ranks, and the game continues with the person who was sitting after the eliminated person picking up the hot potato. The last remaining person wins. Thus, if M = 0 and N = 5, players are eliminated in order, and player 5 wins. If M = 1 and N = 5, the order of elimination is 2, 4, 1, 5. Write a C program to solve the Josephus problem for general values of M and N. Try to make your program as efficient as possible. Make sure you dispose of cells. What is the running time of your program? If M = 1, what is the running time of your program? How is the actual speed affected by the delete routine for large values of N (N > 100,000)? ps. provide a screenshot of output, thankss
- We have a list that stores the repeated heart-rate measurements for the same patient over several tests. Each inner-list is a test and for that test, the heart rate is monitored for some time while taking a few measurements. Next, we would like to calculate the average of the measurements for each test.heart_rate = [ [ 72, 75, 71, 73], # resting[ 91, 90, 94, 93], # walking slowly[ 130, 135, 139, 142], # running on treadmill[ 120, 118, 110, 105, 100, 98]] # after minute recoveryIn your code, define a function calculate_average_heart_rates() that accepts the list heart_rate as its only input argument. Inside the function, use nested loops to calculate the average heart rate during each test scenario. This function should return a list that contains the average heart rate values of a patient for the four test scenarios.Write unit testsIf five integers are chosen from the set {1, 2, 3, 4, 5, 6, 7, 8}, must there be at least two integers with the property that the larger minus the smaller is 2? Write an answer that would convince a good but skeptical fellow student who has learned the statement of the pigeonhole principle but not seen an application like this one. Describe the pigeons, the pigeonholes, and how the pigeons get to the pigeonholes.Mastermind is a code-breaking game for two players. In the original real-world game, one player A selects 4 pegs out of 6 colors and puts them in a certain fixed order; multiples of colors are possible (for example, red-green red-green). His opponent B does not know the colors or order but has to find out the secret code. To do so, B makes a series of guesses, each evaluated by the first player. A guess consists of an ordered set of colors which B believes is the code. The first player A evaluates the guess and feeds back to B how many positions and colors are correct. A position is correct ("black") if the guess and the secret code have the same color. Additional colors are correct ("white"), if they are in the guess and the code, but not at the same location. For example1 2 3 4secret: red-green red greenguess: red blue green purpleresults in one correct position ("black = 1") for the red peg at position one and one additional correct color ("white=1") for the green peg in the guess.…