The joint density function is given below; Find the marginal density function for X and Y random variable "check image
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The joint density
Find the marginal density function for X and Y random variable "check image"
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- Please helpPLEASE HELP! stressed is and understatement!please show your work and if possible please write neatly. i will use your help as a study guide to practice and until I fully understand.An random experiment consists of marking a point randomly inside a half -circle with a radius of 1, as shown below. Let’s call this point N. Let X and Y be the random variables that denote the coordinates such that X is the horizontal coordinate and Y is the vertical coordinate. Answer the question. The location of N is uniform inside the half-circle, find the joint probability densityfunction of X and Y . Please provide the solution step by step.
- Please answer ASAP thank youMany random number generators allow users to specify the range of the random numbers to be produced. Suppose you specify that the random number Y can take any value between 0 and 3. Then the density curve of the outcomes has constant height between 0 and 3 and height 0 elsewhere. Macmillan Learning What is the height of the density curve between 0 and 3? Give your answer to two decimal places. height:Page No. Date • A continuous rondom variable X has the perobability density function: 2/8 for 0Find the speciffied areas for a normal density. (a) The area above 210 on a N(120, 42.3) distribution Round your answer to three decimal places. Area = i eTextbook and Media (b) The area below 49.4 on a N(50, 0.2) distribution Round your answer to three decimal places. Area = eTextbook and Media (c) The area between 0.7 and 1.4 on a N(1, 0.4) distribution Round your answer to three decimal places. Area = eTextbook and MediaQuestion The thickness of a conductive coating in micrometers has a density function of 600x2 for 100 mi need the answer quicklyThe random-number generator on calculators randomly generates a number between 0 and 1. The random variable X, the number generated, follows a uniform probability distribution. (a) Identify the graph of the uniform density function. (b) What is the probability of generating a number between 0.48 and 0.62? (c) What is the probability of generating a number greater than 0.85? (a) Choose the correct graph of the uniform density function below. O A. O B. Density 1.2- 1- 0.8- 6. 0.6- 0 0.2 0.4 0.6 0.8 11.2 0.4- 0.2- to (b) The probability is (c) The probability is Q M (Simplify your answer.) (Simplify your answer.) ADensity 1.2- 1- 0.8- 0.6- 0.4- 0.2- to 0 0.2 0.4 0.6 0.8 1 1.2 Q M O C. 1.2- 1- 0.8- 0.6- 0.4- 0.2- Density 0+ 0 0.2 0.4 0.6 0.8 1 12 Q QI need help with this:A convenience store has two separate locations where customers can be checked out as they leave. These locations each have two cash registers and two employees who check out customers. Let X be the number of cash registers being used at a particular time for location 1 and Y the number being used at the same time for location 2. The joint probability function is given by the accompanying table. Complete parts (a) through (c) below.(a) Give the marginal density of b oth X and Y as wellas the probability distribution of X given Y = 2.(b) Give E(X) and Var(X).(c) Give E(X | Y = 2) and Var(X | Y = 2).Below is a graph of a normal distribution with mean u=-5 and standard deviation o =4. The shaded region represents the probability of obtaining a value from this distribution that is greater than 1. 0.4 0.3- 0.2- 0.1- Shade the corresponding region under the standard normal density curve below.SEE MORE QUESTIONSRecommended textbooks for youA First Course in Probability (10th Edition)ProbabilityISBN:9780134753119Author:Sheldon RossPublisher:PEARSONA First Course in Probability (10th Edition)ProbabilityISBN:9780134753119Author:Sheldon RossPublisher:PEARSON