A group of 9 friends includes 4 Americans, 2 Canadians, and 3 Italians. Three friends are...

A group of 9 friends includes 4 Americans, 2 Canadians, and 3 Italians. Three friends are to be selected at random for a trip. Let X denote the number of Americans and Y be the number of Canadians selected at random among the three friends selected for a trip.

1) Find the joint probability density function of the random variables X and Y and the marginal density functions.

2) Find Cov(2X-1, -Y+1).

Expert Solution

orchestra answered 1 year ago

(10 pts) For the following data: Group 1 Group 2 3 5 2 9 1 8...

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[ 1 -1 3 -3 5 2 ] A=[ 1 -1 4 -1 9 -4 ]...

[ 1 -1 3 -3 5 2 ] A=[ 1 -1 4 -1 9 -4 ] [ -1 1 -3 3 -4 8 ] [7] b=[5] [4] use the row reduction algorithm to solve the following Describe the solution set of Ax=b in parametric vector form describe the solution set of Ax=0 as Span[ V1,V2,....,Vp]

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4. [22 pts] For the function ?(?) = 2?5 − 9?4 + 12?3 − 12?2 + 10? − 3 answer the following: a. [2 pts] Determine whether the function represents a polynomial. Justify your answer. b. [4 pts] Determine whether the function satisfies the Intermediate Value Theorem on the interval [0, 5]. Justify your answer. c. [2 pts] Determine the number (quantity) of complex zeros that the function has, provided the each zero is counted by its multiplicity. d. [4...

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Student Gender Hours online/week Friends 1 Female 9 100 2 Female 5 60 3 Female 2...

Student Gender Hours online/week Friends 1 Female 9 100 2 Female 5 60 3 Female 2 50 4 female 12 110 5 male 4 50 6 female 2 80 7 male 10 450 8 female 7 90 9 female 2 30 10 female 4 150 11 female 12 380 12 male 7 120 13 female 6 80 14 male 3 200 15 male 8 430 16 female 7 170 17 male 4 90 18 female 6 240 19 female 4...

An urn contains 4 red, 5 blue, 2 yellow, and 9 green balls. A group of...

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x 2 8 5 9 4 3 9 6 7 8 y 3 6 5 7...

x 2 8 5 9 4 3 9 6 7 8 y 3 6 5 7 9 7 4 6 9 9 -5.48x + 0.17 5.48x + 0.17 -0.17x + 5.48 0.17x + 5.48

A=[ 7 8 -2 -6 7 4 1 ; 2 4 -4 -13 9 9 -12...

A=[ 7 8 -2 -6 7 4 1 ; 2 4 -4 -13 9 9 -12 ; 6 6 0 -9 8 9 -4 ; 1 8 -14 -22 5 8 -1 ; 4 9 -10 -14 7 4 -1] B=[ 19 4 4 14 -3 -7 -5 ; 21 -6 -5 10 14 -2 4 ; 22 -4 5 13 5 -6 4 ; 41 20 0 26 11 -1 -27 ; 29 14 -2 20 3 -4 -19]...

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hours studied X^2 score on quiz Y^2 XY 1 1 3 9 3 2 4 5 25 10 3 9 7 49 21 5 25 9 81 45 sigmaX=11 sigmaX^2=39 sigmaY=24 sigmaY^2=164 sigmaXY=79 part a: 1.what is the predictor variable? 2. what is the criterion variable? compute the Pearson correlation. 3. what is the covariance. 4 what is the standard deviation of the predictor variable. 5 what is the standard deviation of the criterion variable. 6 what is the...

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