Suppose a box contains 13 marbles, 4 are red, 4 are blue, and 5 are yellow. Find the requested probabilities. (a) If two marbles are selected with replacement, what is the probability that one is red and the other is yellow? 0.12 (b) If two marbles are selected without replacement, what is the probability that one is red and one is yellow? 0.2564 (c) If 5 marbles are selected without replacement, what is the probability that they are all yellow? 0.001

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please work out the answers for each on excel then answer questions on the second image for each part

Suppose a box contains 13 marbles, 4 are red, 4 are blue, and 5 are yellow. Find the requested probabilities.
(a) If two marbles are selected with replacement, what is the probability that one is red and the other is yellow?
0.12
(b) lf two marbles are selected without replacement, what is the probability that one is red and one is yellow?
0.2564
(c) If 5 marbles are selected without replacement, what is the probability that they are all yellow?
0.001
Transcribed Image Text:Suppose a box contains 13 marbles, 4 are red, 4 are blue, and 5 are yellow. Find the requested probabilities. (a) If two marbles are selected with replacement, what is the probability that one is red and the other is yellow? 0.12 (b) lf two marbles are selected without replacement, what is the probability that one is red and one is yellow? 0.2564 (c) If 5 marbles are selected without replacement, what is the probability that they are all yellow? 0.001
For each part:
What assumptions are you making in terms of order; if one marble comes out and
then one of a different color, did the order matter?
Can the part be solved using a hypergeometric distribution, why or why not?
If the hypergeometric distribution doesn't apply, make a tree diagram to solve (you
don't have to complete the tree, just show enough needed to solve the problem).
Transcribed Image Text:For each part: What assumptions are you making in terms of order; if one marble comes out and then one of a different color, did the order matter? Can the part be solved using a hypergeometric distribution, why or why not? If the hypergeometric distribution doesn't apply, make a tree diagram to solve (you don't have to complete the tree, just show enough needed to solve the problem).
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