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2. A privately owned business operates both a drive-in and a walk-in facility. On a random day, the proportions of time that the drive-in and the walk-in facilities are in use are represented by X and Y, respectively, and have the joint density function ƒ(x, y) = (2x + 3y), 0≤x≤1, 0≤y≤ 1. Find the probability that on a random day, both facilities are used more than 50% of the time, i.e. X> 0.5 and Y > 0.5. 2

2. A privately owned business operates both a drive-in and a walk-in facility. On a random day, the proportions of time that the drive-in and the walk-in facilities are in use are represented by X and Y, respectively, and have the joint density function ƒ(x, y) = (2x + 3y), 0≤x≤1, 0≤y≤ 1. Find the probability that on a random day, both facilities are used more than 50% of the time, i.e. X> 0.5 and Y > 0.5. 2

A First Course in Probability (10th Edition)
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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2. A privately owned business operates both a drive-in and a walk-in facility. On a random day, the proportions of time that the drive-in and the walk-in facilities are in use are represented by X and Y, respectively, and have the joint density function ƒ(a, y) = ² (2ª +3y), 0≤ ≤ 1, 0≤y≤ 1. Find the probability that on a random day, both facilities are used more than 50% of the time, i.e. X> 0.5 and Y > 0.5. 2
Transcribed Image Text:2. A privately owned business operates both a drive-in and a walk-in facility. On a random day, the proportions of time that the drive-in and the walk-in facilities are in use are represented by X and Y, respectively, and have the joint density function ƒ(a, y) = ² (2ª +3y), 0≤ ≤ 1, 0≤y≤ 1. Find the probability that on a random day, both facilities are used more than 50% of the time, i.e. X> 0.5 and Y > 0.5. 2
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