Question: Can someone helped me with this statistic problem? a simple one as it should be. Discrete random variables x and y with joint Probability Mass

Can someone helped me with this statistic problem? a simple one as it should be.

Discrete random variables x and y with joint Probability Mass Function(pmf) as displayed as following: Pi,k (a,b) a 0 1 2 0 0.2 0 0.2 b 1 0 d 0 2 0.2 0 0.2 (1) Find the value of d. (2) Find the value of the joint Cumulative Density Function (cdf) for x and y at the point (1, 2), f_x_y(1, 2). (3) Find the marginal Probability Mass Functions (PMFs) of x and y. (4) Are x and y independent? why. (5) Are x and y correlated? why. (6) Find the correlation coefficient between x and y. (7) Find the conditional Probability Mass Function (pmf) of y given x is smaller than 1. 8) Find the conditional expected value of y given x is smaller than 1

Step by Step Solution

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock blur-text-image

Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock

Step: 3 Unlock

Students Have Also Explored These Related Mathematics Questions!

7. Let X1, X2, X3, X4 be a random sample of size 4 from a standard normal population. Find the sampling distribution (if possible) and moment generating function of the statistic 2X2 1 +3X2 2 +X2 3...

You are a contestant on a television game show. Before you are three closed doors. One of them hides a car, which you want to win; the other two hide goats (which you do not want to win). First you...

Please answer the questions in details. Thank you so much Labeling and Disadvantages of Labeling By M. Henley, R.S. Ramsey, R.F. Algozzine Pearson Allyn Bacon Prentice Hall Students identified as...

1 2.3 Definition of a Discrete Probability Function Definition: Let S be a discrete sample space from some experiment. A function P, defined on all events in S, is said to be a probability function...

Please explain to me clearly and show how to do the two suppositions in the (question) file. Please take a look at the (notes) file and see the material up to the questions will be needed to answer...

lathu2nd please answer all in step by step manner. please dont give wrong answer. thank you. q1: Formulas: x-bar i m phat 1r m estimate i m phat = x I n p = X I N x-bar i T (s 1 xi?) p-hat i z \\l...

3 (EEE 350 - Fall 2016) Name: Student ID: The grade scale is from 0 to 4: 4 Excellent: solved with no errors, shows perfect patronage of the concepts tested. 3 Good: some errors are present, but...

Helpful hint: The following topics/concepts are covered in this homework, in no particular order (different problems cover different concepts): Class 6: Discrete Probability Distributions The...

solve these problems I have three errands to take care of in the Administration Building. Let X; = the time that it takes for the ith errand (i = 1, 2, 3), and let X, = the total time in minutes that...

1. A marketing consultancy firm is investigating the behavior of sales in the pharmacy industry. Using a sample of 75 companies within the industry, the following two regression models are obtained:...

1. Draw energy band diagrams showing the positions of Ec, Ev, and EF of silicon crystals without any defects under the following conditions: (a) intrinsic, (b) n-doped and (c) p-doped conditions. 2....

Consider the initial value problem given below. y' = 4 sin (x + y), y(0) = 1 By experimenting with the improved Euler's method subroutine, find the maximum value over the interval [0,2] of the...

As discussed by Faber and Drummond ( 2 0 2 4 ) , what are the two primary mechanisms through which racially and spatially constrained housing markets create opportunities for extracting wealth from...

question 2 All the following are examples of an indirect cost in a factory EXCEPT: a. The rent cost of the factory: b. The depreciation cost of the machines. c. The salary of the electrician who...