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A company has seven applicants for two positions: three women and four men. Suppose that the seven applicants are equally qualified and that no preference is given for choosing either gender. Let x equal the number of women chosen to fill the two positions. (a) Write the formula for p(x), the probability distribution of x. CAC, 3 p(x)=. 2- for x = 0, 1, 2 C₁₂ p(x)= c³c₂4 p(x) for x = 0, 1, 2, 3, 4, 5, 6, 7 = 2-x c/ c^c. 3 x2-x for x = 0, 1, 2, 3, 4, 5, 6, 7 C² c²c₂ p(x)=x2-x for x = 0, 1, 2 C²₂ c²c₂ª p(x) = x2-x for x = 0, 1, 2 (b) What are the mean and variance of this distribution? (Round your mean to one decimal place and your variance to two decimal places.) mean variance =

A company has seven applicants for two positions: three women and four men. Suppose that the seven applicants are equally qualified and that no preference is given for choosing either gender. Let x equal the number of women chosen to fill the two positions. (a) Write the formula for p(x), the probability distribution of x. CAC, 3 p(x)=. 2- for x = 0, 1, 2 C₁₂ p(x)= c³c₂4 p(x) for x = 0, 1, 2, 3, 4, 5, 6, 7 = 2-x c/ c^c. 3 x2-x for x = 0, 1, 2, 3, 4, 5, 6, 7 C² c²c₂ p(x)=x2-x for x = 0, 1, 2 C²₂ c²c₂ª p(x) = x2-x for x = 0, 1, 2 (b) What are the mean and variance of this distribution? (Round your mean to one decimal place and your variance to two decimal places.) mean variance =

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.8: Probability
Problem 31E
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A company has seven applicants for two positions: three women and four men. Suppose that the seven applicants are equally qualified and that no preference is given for choosing either gender. Let x equal the number of women chosen to fill the two positions. (a) Write the formula for p(x), the probability distribution of x. CAC. 3 X 2- X c²2 p(x): = p(x) = p(x): = p(x): = 4 X 2 - X mean = c³c. CAC 3 C² C p(x): = variance = X 2- X c²72 4 X 2 - x C³ C. X 4 2- X c²72 for x = 0, 1, 2 for x = = 0, 1, 2, 3, 4, 5, 6, 7 for x = 0, 1, 2, 3, 4, 5, 6, 7 for x = = 0, 1, 2 for x = (b) What are the mean and variance of this distribution? (Round your mean to one decimal place and your variance to two decimal places.) = 0, 1, 2
Transcribed Image Text:A company has seven applicants for two positions: three women and four men. Suppose that the seven applicants are equally qualified and that no preference is given for choosing either gender. Let x equal the number of women chosen to fill the two positions. (a) Write the formula for p(x), the probability distribution of x. CAC. 3 X 2- X c²2 p(x): = p(x) = p(x): = p(x): = 4 X 2 - X mean = c³c. CAC 3 C² C p(x): = variance = X 2- X c²72 4 X 2 - x C³ C. X 4 2- X c²72 for x = 0, 1, 2 for x = = 0, 1, 2, 3, 4, 5, 6, 7 for x = 0, 1, 2, 3, 4, 5, 6, 7 for x = = 0, 1, 2 for x = (b) What are the mean and variance of this distribution? (Round your mean to one decimal place and your variance to two decimal places.) = 0, 1, 2
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