A stockroom currently has 30 components of a certain type, of which 8 were provided by supplier 1, 10 by supplier 2, and 12 by supplier 3. Six of these are to be randomly selected for a particular assembly. Let X be the number of supplier 1’s components selected, Y be the number of supplier 2’s components selected. Find the following: a. joint pmf of X and Y b. the marginal distributions c. the conditional distributions
A stockroom currently has 30 components of a certain type, of which 8 were provided by supplier 1, 10 by supplier 2, and 12 by supplier 3. Six of these are to be randomly selected for a particular assembly. Let X be the number of supplier 1’s components selected, Y be the number of supplier 2’s components selected. Find the following: a. joint pmf of X and Y b. the marginal distributions c. the conditional distributions
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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A stockroom currently has 30 components of a certain type, of which 8 were provided by supplier 1, 10 by supplier 2, and 12 by supplier 3. Six of these are to be randomly selected for a particular assembly. Let X be the number of supplier 1’s components selected, Y be the number of supplier 2’s components selected.
Find the following:
a. joint pmf of X and Y
b. the marginal distributions
c. the conditional distributions
d. the conditional expectations, E[X | Y=y]
e. Cov(X,Y)
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