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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- webwork/mcb1007_int_prob stat / mcb1007-hmwrk3 / 4 MCB1007-Hmwrk3: Problem 4 Previous Problem Problem List Next Problem (2 points) The joint probability mass function of X and Y is given by p(1,1)= 0.4 Note: You can earn partial credit on this problem. p(2, 1) = 0.1 p(3, 1) = 0.1 (a) Compute the conditional mass function of Y given X = 3: P(Y = 1|X = 3) = P(Y=2|X = 3) = P(Y = 3|X = 3) = (b) Are X and Y independent? (enter YES or NO) Preview My Answers Submit Answers You have attempted this problem 0 times. You have 10 attempts remaining. p(1, 2) = 0.1 p(2, 2) = 0.05 p(3, 2) = 0.1 Email WeBWork TA p(1,3)= 0.05 p(2,3) = 0.05 p(3,3) = 0.05The 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 languageSuppose that the grading of x University courses is as follows:• Each student can get grades between 0 and 100.• If the student's grade is less than 40, the student is informed that the course failed (Unsuccessful).• If the student's grade is higher than 40,o The difference between the student's current grade and the number that is a multiple of 5 higher than the closest to his / her grade is less than 3.If it is lower, the student's grade is equal to the 5 fold higher than the closest one.o If the difference is 3 or more than 3, no change is made in the grade of the student.In this context, the updated grades of the students are calculated according to the entered student gradesWrite the Java code showing.ü Define the section to be calculated as Java object ("Question1").ü Question1; Take the note string as input.public Question1 (int [] input)ü Print out the updated notes as a series after the calculation is madeo public int [] gradingStudents ()Code sample:public class Question1…
- Suppose that the grading of x University courses is as follows:• Each student can get grades between 0 and 100.• If the student's grade is less than 40, the student is informed that the course failed (Unsuccessful).• If the student's grade is higher than 40,o The difference between the student's current grade and the number that is a multiple of 5 higher than the closest to his / her grade is less than 3.If it is lower, the student's grade is equal to the 5 fold higher than the closest one.o If the difference is 3 or more than 3, no change is made in the grade of the student.In this context, the updated grades of the students are calculated according to the entered student gradesWrite the Java code showing.Solve this question in c ++ language.ü Define the section to be calculated as Java object ("Question1").ü Question1; Take the note string as input.public Question1 (int [] input)ü Print out the updated notes as a series after the calculation is madeo public int [] gradingStudents…plaese code in python question in imageNeed 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 questionMultiple Linear Regression A nursing instructor wishes to see whether a student's grade point average and age are related to the student's score on the state board nursing examination. She selects five students and obtains the following data. Student A B D E GPAX₁ 3.2 2.7 2.5 3.4 2.2 Age x₂ 22 27 24 28 23 State board score y 550 570 525 670 490 My Solutions > a) Refer to fitlm. From its output, determine the b0, b1, and b2. Do not simply enter the values but work with objects in MATLAB. You can also search How to get the p-value as an output of fitlm on MATLAB Answers. b) Predict a student's state board score who has a GPA of 3.0 and who is 25 years old. The multiple regression equation is y = bo+b₁x₁ + b2x2. c) Obtain the Coefficient of Determination (R²) from fitlm's output. Check LinearModel. d) Obtain the F-statistic using coefTest. Its value must be the same as that of fitlm with some discrepancy due to rounding off.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…
- Can i get answer for this useing oubuild only pleaseA 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)=100kgWorld Series odds Consider two teams, A and B, playing a series of games until one of the teams wins n games. Assume that the probability ofA winning a game is the same for each game and equal to p, and the probability of A losing a game is q = 1− p. (Hence, there are no ties.) Let P(i, j) be the probability of A winning the series if A needs i more games to win the series and B needs j more games to win the series. a. Set up a recurrence relation for P(i, j) that can be used by a dynamic programming algorithm. b. Find the probability of team A winning a seven-game series if the proba-bility of it winning a game is 0.4. c. Write pseudocode of the dynamic programming algorithm for solving this problem and determine its time and space efficiencies.