Answered: A box has 1 red and 3 blue marbles. Two…

A box has 1 red and 3 blue marbles. Two marble are selected at random (together, without replacement). Let R be the number of reds we get. Let B be the number of blues we get. Compute Cov(R, B).

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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Question

A box has 1 red and 3 blue marbles.
Two marble are selected at random (together, without replacement).
Let R be the number of reds we get.
Let B be the number of blues we get.
Compute Cov(R, B).

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Step 1: Given information.

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Step 2: Find the joint PDF of R & B, E(RB)

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Step 3: Find E(R) and E(B)

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Step 4: Find Cov(R,B)

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Please help to solve this. Does this question use combinatorics? Since we are told that marbles are selected at random (together, without replacement). A box has 1 red and 3 blue marbles.Two marble are selected at random (together, without replacement).Let R be the number of reds we get.Let B be the number of blues we get.Compute Cov(R, B).