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2. 25 values of two variables X and Y are given below. Form a two-way frequency table. Take classes of X as 10 to 20, 20 to 30 etc, that of Y as 100 to 200,200 to 300 etc. X 12 34 33 22 44 37 26 36 55 48 27 52 41 37 21 51 140 266 360 470 470 380 480 315 420 390 440 312 330 390 590 250 Y X 27 42 43 52 57 44 48 48 69 Y 550 360 570 290 416 380 492 370 590 Obtain (i) the marginal frequency distributions of X and Y. (ii) the conditional distribution of X when Y lies between 300-400. (iii) the conditional distribution of Y when Y lies between 40-50.

2. 25 values of two variables X and Y are given below. Form a two-way frequency table. Take classes of X as 10 to 20, 20 to 30 etc, that of Y as 100 to 200,200 to 300 etc. X 12 34 33 22 44 37 26 36 55 48 27 52 41 37 21 51 140 266 360 470 470 380 480 315 420 390 440 312 330 390 590 250 Y X 27 42 43 52 57 44 48 48 69 Y 550 360 570 290 416 380 492 370 590 Obtain (i) the marginal frequency distributions of X and Y. (ii) the conditional distribution of X when Y lies between 300-400. (iii) the conditional distribution of Y when Y lies between 40-50.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 4AGP
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2. 25 values of two variables X and Y are given below. Form a two-way frequency table. Take classes of X as 10 to 20, 20 to 30 etc, that of Y as 100 to 200,200 to 300 etc. X 12 34 33 22 44 37 26 36 55 48 27 52 41 37 21 51 Y 140 266 360 470 470 380 480 315 420 390 440 312 330 390 590 250 X 27 42 43 52 57 44 48 48 69 Y 550 360 570 290 416 380 492 370 590 Obtain (i) the marginal frequency distributions of X and Y. (ii)the conditional distribution of X when Y lies between 300-400. (iii) the conditional distribution of Y when Y lies between 40-50.
Transcribed Image Text:2. 25 values of two variables X and Y are given below. Form a two-way frequency table. Take classes of X as 10 to 20, 20 to 30 etc, that of Y as 100 to 200,200 to 300 etc. X 12 34 33 22 44 37 26 36 55 48 27 52 41 37 21 51 Y 140 266 360 470 470 380 480 315 420 390 440 312 330 390 590 250 X 27 42 43 52 57 44 48 48 69 Y 550 360 570 290 416 380 492 370 590 Obtain (i) the marginal frequency distributions of X and Y. (ii)the conditional distribution of X when Y lies between 300-400. (iii) the conditional distribution of Y when Y lies between 40-50.
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