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Suppose that the random variables  Y1  and  Y2  have joint probability distribution function. f(y1, y2) =    2,    0 ≤ y1 ≤ 1,

Suppose that the random variables  Y1  and  Y2  have joint probability distribution function. f(y1, y2) =    2,    0 ≤ y1 ≤ 1,

College Algebra
College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter9: Counting And Probability
Section9.3: Binomial Probability
Problem 2E: If a binomial experiment has probability p success, then the probability of failure is...
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Suppose that the random variables 
Y1
 and 
Y2
 have joint probability distribution function.
f(y1, y2) = 
 
2,    0 ≤ y1 ≤ 1, 0 ≤ y2 ≤ 1, 0 ≤ y1 + y2 ≤ 1,
0,   elsewhere
(a)
Use R to calculate 
P(Y1 ≥ 1⁄6 | Y2 ≤ 1⁄5).
 (Round your answer to four decimal places.)
P(Y1 ≥ 1⁄6 | Y2 ≤ 1⁄5) =  
(b)
Use R to calculate 
P(Y1 ≥ 1⁄6 | Y2 = 1⁄5).
 (Round your answer to four decimal places.)
P(Y1 ≥ 1⁄6 | Y2 = 1⁄5) =  
Suppose that the random variables Y₁ and Y₂ have joint probability distribution function. 1 f(y₁ Y₂)= < 2, 0≤y₁ ≤ 1,0 ≤ y₂ ≤ 1,0 ≤ y ₁ + y₂ ≤ 1, lo, elsewhere (a) Use R to calculate P(Y₁ ≥ 1/6 | Y₂ ≤ 1/5). (Round your answer to four decimal places.) P(Y₁ ≥ 1/6 | Y₂ ≤ 1/5) = X (b) Use R to calculate P(Y₁ ≥ 1/6 | Y₂ = 1/5). (Round your answer to four decimal places.) P(Y₁ ≥ 1/6 | Y₂ = 1/5) = X
Transcribed Image Text:Suppose that the random variables Y₁ and Y₂ have joint probability distribution function. 1 f(y₁ Y₂)= < 2, 0≤y₁ ≤ 1,0 ≤ y₂ ≤ 1,0 ≤ y ₁ + y₂ ≤ 1, lo, elsewhere (a) Use R to calculate P(Y₁ ≥ 1/6 | Y₂ ≤ 1/5). (Round your answer to four decimal places.) P(Y₁ ≥ 1/6 | Y₂ ≤ 1/5) = X (b) Use R to calculate P(Y₁ ≥ 1/6 | Y₂ = 1/5). (Round your answer to four decimal places.) P(Y₁ ≥ 1/6 | Y₂ = 1/5) = X
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