Problem In Exercise 5.3, we determined that the joint probability distribution of Y₁, the number of married executives, and Y₂, the number of never-married executives, is given by 4 (†) (2) (3 (3) where yı and 1 y2 are integers, 0 ≤ y ≤ 3,0 ≤ y ≤ 3, and 1 ≤ ₁ + y₂ ≤ 3. Find Cov(Y₁, Y2). Reference P(y₁, y2) = 2 - Y₁ - 12 Of nine executives in a business firm, four are married, three have never married, and two are divorced. Three of the executives are to be selected for promotion. Let Y₁ denote the number of married executives and Y₂ denote the number of never-married executives among the three selected for promotion. Assuming that the three are randomly selected from the nine available, find the joint probability function of Y₁ and Y₂.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.8: Probability
Problem 32E
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In Exercise 5.3, we determined that the joint probability distribution of Y₁, the number of married
executives, and Y₂, the number of never-married executives, is given by
3
2
() () (₁-3 4-)
(²)
9
where y₁ and y₂ are integers, 0≤ ₁ ≤ 3,0 ≤ y ≤ 3, and 1 ≤ ₁ + y2 ≤ 3. Find Cov(Y₁, Y₂).
Reference
P(V₁, Y2):
=
Of nine executives in a business firm, four are married, three have never married, and two are
divorced. Three of the executives are to be selected for promotion. Let Y₁ denote the number of
married executives and Y₂ denote the number of never-married executives among the three selected
for promotion. Assuming that the three are randomly selected from the nine available, find the joint
probability function of Y₁ and Y₂.
Transcribed Image Text:Problem In Exercise 5.3, we determined that the joint probability distribution of Y₁, the number of married executives, and Y₂, the number of never-married executives, is given by 3 2 () () (₁-3 4-) (²) 9 where y₁ and y₂ are integers, 0≤ ₁ ≤ 3,0 ≤ y ≤ 3, and 1 ≤ ₁ + y2 ≤ 3. Find Cov(Y₁, Y₂). Reference P(V₁, Y2): = Of nine executives in a business firm, four are married, three have never married, and two are divorced. Three of the executives are to be selected for promotion. Let Y₁ denote the number of married executives and Y₂ denote the number of never-married executives among the three selected for promotion. Assuming that the three are randomly selected from the nine available, find the joint probability function of Y₁ and Y₂.
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