Suppose a family contains two children of different ages, and we are interested in the gender of these children.Let F denote that a child is female and M that the child is male and let a pair such as F M denote that the olderchild is female and the younger is male. There are four points in the set S of possible observations:s= (FF, FM, M F, M M}.Let A denote the subset of possibilities containing no males; B, the subset containing two males; and C, thesubset containing at least one male. List the elements of A, B,C, AN B, A U B, ANC, AUC, BNC, BUC,and CNB.

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Answered: Suppose a family contains two children…

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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Consider following five sets: I. { , } { } II. { } III. IV. { , , } V. { , } Find all linearly independent set(s). (a) I (b) I and IV (c) I and II (d) II, IV and V (e) II (f) II
A psychologist wants to test the influence of color on object recognition in 4-year olds. She recruits 25 children and shows them two sets of pictures of everyday objects (variable = picture type), has the children name them, and measures the time it takes (variable = reaction time). She shows the children a color set of pictures first and then shows them a black and white set of pictures. a) What is the independent variable? b) What is the dependent variable? c) What is the second independent variable? d) What is the second dependent variable? e) Is "picture type" a within-subjects or between-subjects variable? f) What scale of measurement is reaction time? g) What scale of measurement is picture type? h) The order of presentation of the picture sets is what kind of variable?
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The following data are for 30 observations involving two categorical variables, x and y . The categories for x are A, B, and C; the categories for y are 1 and 2. Observation x y Observation x y 1 A 1 16 C 1 2 C 2 17 B 2 3 C 2 18 C 2 4 B 1 19 B 2 5 C 2 20 C 2 6 B 1 21 B 1 7 C 2 22 C 2 8 B 1 23 B 1 9 A 1 24 A 1 10 C 2 25 C 2 11 A 2 26 B 1 12 C 2 27 B 1 13 B 1 28 A 1 14 B 1 29 C 2 15 B 1 30 C 1
How many of these students like Haydn and exactly one of the other two?
24
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A survey of 300 adults found that during the last year, 82 purchased apples but not strawberries, 91 purchased oranges but not apples, 50 purchased strawberries but not apples or oranges, 32 purchased strawberries and oranges, 22 purchased all three, and 178 purchased strawberries or apples. Fill out a Venn diagram and determine how many of the adults surveyed did not purchase any of the three fruits.

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