3) Consider the following situation: Draw marbles randomly three times, without

Question

3) Consider the following situation: Draw marbles randomly three times, without replacing them after adraw. There are 20 marbles overall, 8 of which are yellow, and 12 of which are green. What does theprobability tree diagram to capture this setting look like? What are the respective probabilities for theevents (y, y, gr) and (gr, gr, y) if the order in which the marbles are drawn does not matter?

4) If we can use a normal distribution to describe the distribution of a variable, what are theprobabilities of values lying within one, two, and three standard deviations on either side of the mean?

Explanation / Answer

3) toatal number of marbels are 20

selecting 3 without replacement is done by 20C3 = 1140ways

selecting 2 yellow and 1 green can be done by 8C2.12C1=336 ways

Selecting 2 green and 1 yellow can be done by 8C1.12C2=528 ways

Required probabiity ( 2green and 1 yellow) = 528/1140=0.4632

Required probability ( 1 green and 2 yellow) = 336/1140=0.2947

Related Questions

Navigate

• Browse (All)
• Browse 3
• Subjects

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.