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1. The table below shows the joint probability distribution of fatalities (X) and number of seat belts used (Y) for children in accidents. Seat belt status Survivors Fatalities Total No belt 1129 509 1638 Adult belt 432 73 505 Children's carseat belt 733 139 872 Total 2294 3015 721 (a) (1 point) Find E(XY). (b) (1 point) Find Cov(X,Y). (c) (1 point) Find px,y.
Question Use the probability distribution given in the table below to answer the following questions Joint Distribution of Weather Conditions and Commuting Times Rain (X 0) No Rain (X 1) Total Long commute (Y 0) Short commute (Y 1) 0.26 0.13 0.39 0.58 0.03 0.61 Total 0.84 0.16 1.00 Compute the mean of Y E (Y) (Round your response to two decimal places) Compute the mean of X E (X) (Round your response to two decimal places) Compute the variance...
1. If the joint probability distribution of X and Y is given by f(x, y) for = 1,2,3; y=0,1,2,3 ยท 42 2. Referring to Exercise 1, find (a) the marginal distribution of X; (b) the marginal distribution of Y. 3. Referring to Exercises 1 and 2, find (a) The expected value of XY. (b) The expected value of X. (c) The expected value of Y (d) The covariance of X and Y (COV(X, Y)). Round your final answer to 3...
1. Consider the joint probability distribution of window orders for a company in 2017 given the table below. The measurements for the width and height of double hung windows are where X denotes the width and Y de height. Xand Y are dependent. notes the Y-width 32" 0.05 0.15 0.10 0.30 44" 0.05 0.05 0.15 48" 44" 48* 0.10 0.05 a) What is the probability that a customer ordered a square window (width height)? (10 pts) What is the probability...
The joint probability distribution for Xi and X2 is T1T2 f (1, 2)L22 for 1 1,2,3 and 2 1,2,3. (a) Find the probability distribution of Y XX2 (b) Find the probability distribution of Z
(1 point) Consider the joint probability distribution otherwise Where c is a constant. (a) Find the value of c (if rounding, use at least 4 digits after the decimal point) (b) Given Var(X) , Var(Y-7168, Coulx, Y-579 What is Var 1x- 9Y+5- (c) Suppose we are interested in finding P( 100 Set up the integral that would evaluate this. (Do not use the constant c in the integrand but replace what it actually is in your answer) (if rounding. use...
(1 point) Consider the joint probability distribution otherwise Where c is a constant. H ::: (a) Find the value of c = 54687535831808 (if rounding, use at least 4 digits after the decimal point) 101248 VarVl= (b) Given VarX]- 61875 What is Var(1X_9Y + 5] = (c) Suppose we are interested in finding P100 Set up the integral that would evaluate this. (Do not use the constant c in the integrand but replace what it actually is in your answer)...
The following joint probability distribution is given. 1. Find k
such that the given function demonstrates the PDF. 2. Find Marginal
distributions. 3. Evaluate ?(? < ? < 0) 4. Find the
correlation coefficient between X and Y having the joint density
functions:(.) ?(?,?) = {???2+?2 ??? ?2 + ?2 < 4 0
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Question 2. (20 pts.) The following joint probability distribution is given. 1. Find k such that the given function demonstrates the PDF. 2. Find Marginal distributions....
The joint probability distribution of the random variables X and Y is: ั
0 1 N ั 0 1/18 1/9 1/6 1/9 1/18 179 2. 1/6 1/6 1718 Find f(xl y=1)