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. d.Give the conditional p.d.f f(X|Y=0)) if the 2 balls are drawn with replacement?ex Compute the Correlation p(X,Y) if the 2 balls are drawn with replacement?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.g.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 guidelines of Bartleby, solution of only first 3 parts are given.

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

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 First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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