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MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
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
Transcribed Image Text:QUESTION 14
Combinations, Probabilities
5 marbles are selected from a large jar containing 32 marbles, of which 8 of the marbles are red.
How many different combinations of 5 marbles out of 32 are possible (for the sample space)?
a) Find the probability of selecting 3 red marbles (and 2 of some other color)
b) Find the probability of selecting 4 red marbles (and 1 of some other color)
c) BONUS:
Link to Random Variable Section
If X = # of red marbles in group of 5 selected, it has the following probability distribution
(with the missing values p(3) and p(4) being the values computed in a) and b) above.
X=x
P(X=x)
4
2
0.28142
1
0.21107
0.42214
p(3)
p(4)
0.00028
Find the expected value of X.
Check this is the same as n = 5 marbles selected * (ratin of: red marbles / total marbles )
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