5. A bag contains 4 red marbles and 2 blue marbles. You draw a marble at random, without replacement, until the first blue marble is drawn. Let X = the number of draws. a) If you repeated this experiment a very large number of times, on average how many draws would you make before a blue marble was drawn? b) Express the maximum number of draws you might have to make as a Z-score. c) Suppose you had sampled with replacement. Is it more likely that you would make 1 draw or 6 draws before you got a blue marble? Why? Answers: A) mean=2.334 B) Zscore=2.138 C) 1 draw P(X=1)=0.333 P(X=6)=0.0439

5. A bag contains 4 red marbles and 2 blue marbles. You draw a marble at random, without replacement, until the first blue marble is drawn. Let X = the number of draws. a) If you repeated this experiment a very large number of times, on average how many draws would you make before a blue marble was drawn? b) Express the maximum number of draws you might have to make as a Z-score. c) Suppose you had sampled with replacement. Is it more likely that you would make 1 draw or 6 draws before you got a blue marble? Why? Answers: A) mean=2.334 B) Zscore=2.138 C) 1 draw P(X=1)=0.333 P(X=6)=0.0439

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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