An experiment is performed and four events (A, B, C, and D) are defined over the set of all possible outcomes. Use the table below to select the pair of events that are independent: P(A) = 1/6 p(A/B) = 1/6 P(B) = 1/3 p(A/D) = 1/3 P(C) = 1/6 p(C/B) = 1/4 P(D) = 1/3 p(C/D) = 1/3
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- The Monte Carlo method is used in modeling a wide-range of physical systems at the forefront of scientific research today. Monte Carlo simulations are statistical models based on a series of random numbers. Let's consider the problem of estimating Pi by utilizing the Monte Carlo method. Suppose you have a circle inscribed in a square (as in the figure). The experiment simply consists of throwing darts on this figure completely at random (meaning that every point on the dartboard has an equal chance of being hit by the dart). How can we use this experiment to estimate Pi? The answer lies in discovering the relationship between the geometry of the figure and the statistical outcome of throwing the darts. Let's first look at the geometry of the figure. Let's assume the radius of the circle is R, then the Area of the circle = Pi * R^2 and the Area of the square = 4 * R^2. Now if we divide the area of the circle by the area of the square we get Pi / 4. But, how do we estimate Pi by…With T=4, n=12 and A=(3,5,8,8,9,16,29,41,50,63,64,67). Draw the corresponding walkthrough as shown in P.146.Write an experiment protocol for calculating accuracy difference between touchpad pointing and mouse pointing using Laptop. You have 5 users available to perform experiment tasks. You are required to provide rationale for all your decisions. The experiment protocol should at least describe the following elements: -> Hypothesis -> Independent Variables -> Dependent Variables -> Subject Design/Group Design -> Experiment Procedure
- A midterm exam has two parts. Part 1 consists of ten multiple choice questions. Each question hasfour choices, labeled (a), (b), (c), and (d), and one may pick any combination of responses on each ofthese questions. For example, one could choose just (a) alone on one question, or both (b) and (c),or all four possibilities, or none of them. In Part 2, one may choose either to answer eight true/falsequestions, or to select the proper definition of each of seven terms from a list of ten possible definitions.Every question must be answered on whichever portion (true/false or definition) of Part 2 is chosen,but one is not allowed to complete both the true/false and the definition portions. How many waysare there to complete the exam?Chemical reaction rates are proportional to a rate constant, k, which changes with temperature according to the Arrhenius equation k=k0e-Q/RT For a certain reaction Q = 8,000 cal/mole R = 1.987 cal/mole K k 0 = 1200 min 1 k0=1200min-1 For this question you will need to draw a graph in Matlab for the values of k for temperatures from 100 K to 500 K, in 15-degree increments.Assume a very good NBA team has a 70% chance of winning in each game it plays. Use simulation to answer these questions, where each iteration of the simulation generates the outcomes of all 82 games. Use simulation with 10,000 iterations to answer the questions. For part a, write your numerical answer with no decimal or commas (e.g., if your computed answer is 101,021.128, write your answer as 101021). For part b, write your probability answer to two decimal places with a leading 0 (e.g., write a probability of 90.02% as 0.90). a. During an 82-game season what is the average length of the team's longest winning streak? The average length of the winning streak is . b. What is the probability that the team has a winning streak of at least 16 games? The probability is
- Correct answer will be upvoted else Multiple Downvoted. Don't submit random answer. Computer science. You have n particular focuses (x1,y1),… ,(xn,yn) on the plane and a non-negative integer boundary k. Each point is a tiny steel ball and k is the draw in force of a ball when it's charged. The draw in power is something very similar for all balls. In one activity, you can choose a ball I to charge it. When charged, all balls with Manhattan distance all things considered k from ball I move to the situation of ball I. Many balls may have a similar facilitate after an activity. All the more officially, for all balls j with the end goal that |xi−xj|+|yi−yj|≤k, we dole out xj:=xi and yj:=yi. An illustration of an activity. Subsequent to charging the ball in the middle, two different balls move to its position. On the right side, the red dab in the middle is the normal situation of those balls. Your errand is to observe the base number of activities to move all balls to a similar…solve with Matlab Assignment vs. Equals is important in loops. An assignment is a = b and means assign value b to variable a. The equals operator is ab results in 1 or yes if they are equal, 0 or no if they are not. The final type of loop is a WHILE loop. It requires that a series of operations occur while the condition applied to a specified variable is correct. The example syntax is: i=10; while i>5 i-i-1 end Practice Problem: Given the matrix: M-[1 1; 1 3;]; Use loops to determine how many of the entries are greater than 1 and the location of all qualifying entries (the corresponding row and column).The average of a step function computed with the definite integral matches the average computed in the usual way. Test this in the following situations by finding the average of the values directly, and then as the integral of a step function. Suppose a math class has four equally weighted tests. A student gets 60 on the first test, 70 on the second, 80 on the third, and 90 on the last.
- Birth year Life expectancy Birth year Life expectancy 1900 48.3 1960 66.6 1910 51.1 1970 67.1 1920 55.2 1980 70.0 1930 57.4 1990 71.8 1940 62.5 2000 73.0 1950 65.6 Life expectancy improved dramatically in the 20th century. The table gives the life expectancy at birth (in years) of males born in the United States. Use a scatter plot (in matlab)to choose an appropriate type of model. Use your model to predict the life- span of a male born in the year 2010. USING MATLAB!Let M(x) = "x passed the midterm". Let F(x) = "x passed the final". Select the statement below which means: "If nobody passed the midterm, then everyone passed the final". Vx-M(x)→ VxF(x) Vx(M(x)→ F(x)). +VæM(z) → VF(x) Vx(-M(x) → F(x))Draw an eight-by-eight chessboard on a sheet of paper and attempt a Knight’s Tour by hand. Put a 1 in the starting square, a 2 in the second square, a 3 in the third, and so on. Before starting the tour, estimate how far you think you’ll get, remembering that a full tour consists of 64 moves. How far did you get? Was this close to your estimate?