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...

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Extracted 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 )