A box has 3white(W) balls,2 black (B) balls and 4 red(R) balls. Two balls were drawn successively from this box (i) with replacement/ (ii) without replacement. Let X=the number of white balls drawn and let Y=the number of black balls drawn. a.Give the joint p.d.f f(x,y) if the 2 balls are drawn with replacement?b.Give the joint p.d.f f(x,y) if the 2 balls are drawn without replacement?Give the marginal p.d.f f(x) if the 2 balls are drawn with replacement?d.Give the conditional p.d.f f(X|Y=0)) if the 2 balls are drawn with replacement?excompute the Correlation p(X,Y) if the 2 balls are drawn with replacement?f. If the number of balls of each color in the box areunknown and a randomsample of 30 balls drawn successively with replacement from this box yieldedthe following data : 8 White balls, 5 black balls and 17 red balls.Test at (a=0.05)the multinomial null hypothesis Ho: P(W)=0.3, P(B)=0.2 and P(R)=0.5.using the sample data of part (f), give95% Confidence interval for theproportion P(W) of white balls in the box?3-32- 25-sy

As per the guidelines of Bartleby,we are giving here solution of first 3 parts only

a.Give the joint p.d.f f(x,y) if the 2 balls are drawn with replacement? b.Give the joint p.d.f f(x,y) if the 2 balls are drawn without replacement? Give the marginal p.d.f f(x) if the 2 balls are drawn with replacement? d.Give the conditional p.d.f f(X|Y=0)) if the 2 balls are drawn with replacement? e compute the Correlation p(X,Y) if the 2 balls are drawn with replacement? f. If the number of balls of each color in the box areunknown and a random sample of 30 balls drawn successively with replacement from this box yielded the following data : 8 White balls, 5 black balls and 17 red balls.Test at (a=0.05) the multinomial null hypothesis Ho: P(W)=0.3, P(B)=0.2 and P(R)=0.5. g.using the sample data of part (f), give95% Confidence interval for the proportion P(W) of white balls in the box? 3-3 2-2

a.Give the joint p.d.f f(x,y) if the 2 balls are drawn with replacement? b.Give the joint p.d.f f(x,y) if the 2 balls are drawn without replacement? Give the marginal p.d.f f(x) if the 2 balls are drawn with replacement? d.Give the conditional p.d.f f(X|Y=0)) if the 2 balls are drawn with replacement? e compute the Correlation p(X,Y) if the 2 balls are drawn with replacement? f. If the number of balls of each color in the box areunknown and a random sample of 30 balls drawn successively with replacement from this box yielded the following data : 8 White balls, 5 black balls and 17 red balls.Test at (a=0.05) the multinomial null hypothesis Ho: P(W)=0.3, P(B)=0.2 and P(R)=0.5. g.using the sample data of part (f), give95% Confidence interval for the proportion P(W) of white balls in the box? 3-3 2-2

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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