Question 2 P(Cold^Cloudy Cloudy ~Cloudy ^Rain) Rain ~Rain Rain ~Rain Cold ~Cold .32 .06 .26 .03 .12 .04 .10 .07 a) Compute the marginal probability of ~Cold. b) Compute the probability of not cloudy given the it is not raining and the weather being not cold c) Compute the probability of not raining given it is not cloudy. d) Compute P(~Rain or cloudy)
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- The fuel economy of a car is the distance which it can travel on one litre of fuel. The base fuel economy (i.e., its fuel economy when there is only one person - the driver - in the car) of a certain car is MM kilometres per litre. It was also observed that every extra passenger in the car decreases the fuel economy by 11 kilometre per litre. PP people want to take this car for a journey. They know that the car currently has VV litres of fuel in its tank. What is the maximum distance this car can travel under the given conditions, assuming that all PP people always stay in the car and no refuelling can be done? Note that among the PP people is also a driver, i.e., there are exactly PP people in the car. Solve in any programming languageNeed help with the following code I'm not sure if I'm doing it right and also getting an error: simulate a ping pong game with one of the above mentioned random number generator - system random function with seed = 5, and compute the probability you win a ping pong game up to n points, when your probability of winning each point is p (and your friend wins the point with probability 1 − p). Assume you have to win by (at least) 2; for example, if n = 21 and the score is 21 - 20, the game isn't over yet. - Simulate ntrials = 5, 000 games, and make a single plot with the x-axis being p for different values of p in {0, 0.04, 0.08, · · · , 0.96, 1.0} and the y-axis being the probability of winning the overall game (use your previous function). Plot 3 "curves" in different colors, one for each n in 3,11,21. - Identify the interesting pattern you notice when n gets larger (regarding the steepness of the curve), and explain why it makes sense. - Each curve you make for different values of n…19 19 20 AY 11 Knowing that the value has to be maxomized and the weight has to be minimized, the set of Pareto optn no Select one a. Is, a) b. (as, Z10) d. (23, g) e. (21, 5, Ta) f. (3, z4) g. (zs) h. (27, Z8, Ig) i. (Z6, Ig) j. None of the other alternatives. k.I don't want to answer this question
- Question 5: Physical properties of six flame-retardant fabric samples were investigated. Consider the accompanying data, where x is a measurement of the stiffness of the fabric (mg-cm) and y is its thickness (mm). X y 7.98 24.52 12.47 6.92 20.71 24.11 0.28 0.65 0.32 0.27 0.57 0.81 (a) Use R to answer the following. Construct a scatterplot such that x is the independent variables and y is the dependent variable. Based on the scatterplot, what are your assumptions about the relationship between these two variables? (b) Calculate (by hand) and interpret the value of the sample correlation coefficient r. Does this agree or disagree with the assumptions you made in part (a)? (c) Use R to answer the following. Fit the simple linear regression model to this data. State the equation of the estimated regression line. (d) Use R to answer the following. Plot the equation of the estimated regression line on top of your scatterplot from part (a). Make sure you include the original scatterplot with…A theft robbing a store find n items; the ith element is worth vi dollars and weight wi pounds. He wants to take as valuable load as possible, but he can carry at most W pounds in his knapsack. The theft is allowed to take fraction of an item for the fraction of the weight and fraction of the value. Determine which items should he take? The goal is to maximize the value of items without exceeding the weight limit W of knapsack. item_1(price=30$, weight=10kg) , item_2(price=100$, weight=25kg) item_3(price=250$, weight=50kg), item_4(price=30$, weight=30kg) item_5(price=20$, weight=10kg), Knapsack capacity (W)=100kgThe position as a function of time of a squirrel running on a grass field is given in polar coordinates by: r(t) = 20 + 30 (1 – e-0.1 t) 0(t) = 1 (1 – e-0.2 t) = TT Plot as 1* subplot the trajectory (position) of the squirrel for 0 st < 20s with a step of time 0.5s. Calculate numerically the speed of the squirrel given by v = r d8/dt. Create a 2d subplot for speed of the squirrel v (numerical) as function of time for 0 st s 20s. Report the curve as green circle without line. In the same figure (2¤d subplot), plot as black solid line the theoretical velocity given by the formula v = r de/dt as function of time for 0 st s 20s.
- Correct answer will be upvoted else downvoted. Computer science. At whatever point a robot arrives at a divider, it pivots right away and proceeds with his ride the other way with a similar speed. At whatever point a few robots meet at a similar integer organize, they impact and detonate into dust. When a robot has detonated, it doesn't slam into some other robot. Note that if a few robots meet at a non-integer facilitate, nothing occurs. For every robot see whether it at any point detonates and print the hour of blast on the off chance that it occurs and −1 in any case. Input The primary line contains a solitary integer t (1≤t≤1000) — the number of testcases. Then, at that point, the depictions of t testcases follow. The primary line of each testcase contains two integers n and m (1≤n≤3⋅105; 2≤m≤108) — the number of robots and the organize of the right divider. The second line of each testcase contains n integers x1,x2,… ,xn (0<xi<m) — the beginning…A math class has 25 students. Assuming that all of the students were born in the first half of the year – between January 1st and June 30th– what is the probability that at least two students have the same birthday? Assume that nobody was born on leap day, so there are 181 possible birthdays.Given A = {1,2,3} and B={u,v}, determine. a. A X B b. B X B
- - Find the total amount of money needed in order to give 5% salary increase to all mangers and 4% increase to everybody else. - Find each employee who is making more than the average of his or her job lineThere are three financial aid counselors. If a student’s last initial is from A – H, let them know that their counselor is Jon Stewart. If a student’s last initial is from I – Q, let them know that their counselor is Chelsea Handler. If a student’s last initial is from R – Z, let them know that their counselor is Brian Williams.Ask student for the FICO score, if it’s less than 660 tell that this student cannot have a loan.Question 8 PS:Please answer them correctly.