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The zebra plays a game in which in every turn she randomly chooses a letter from the set {A,B,C}, independently of other turns, and registers the outcome in a list. 1. Assume that the zebra plays exactly 4 turns, and let X denote the number of distinct outcomes she registers. 2. The first moment of X is 3. The probability that both A and B are registered at some point during the 4 turns she plays is 4. The second moment of X is

The zebra plays a game in which in every turn she randomly chooses a letter from the set {A,B,C}, independently of other turns, and registers the outcome in a list. 1. Assume that the zebra plays exactly 4 turns, and let X denote the number of distinct outcomes she registers. 2. The first moment of X is 3. The probability that both A and B are registered at some point during the 4 turns she plays is 4. The second moment of X is

A First Course in Probability (10th Edition)
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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The zebra plays a game in which in every turn she randomly chooses a letter from the set {A,B,C}, independently of other turns, and registers the outcome in a list. 1. Assume that the zebra plays exactly 4 turns, and let X denote the number of distinct outcomes she registers. 2. The first moment of X is 3. The probability that both A and B are registered at some point during the 4 turns she plays is 4. The second moment of X is 2. Now assume that the zebra plays until she registers every possible outcome at least once, that is, once she has registered at least one of each of the outcomes she stops. The expected number of turns she plays is
Transcribed Image Text:The zebra plays a game in which in every turn she randomly chooses a letter from the set {A,B,C}, independently of other turns, and registers the outcome in a list. 1. Assume that the zebra plays exactly 4 turns, and let X denote the number of distinct outcomes she registers. 2. The first moment of X is 3. The probability that both A and B are registered at some point during the 4 turns she plays is 4. The second moment of X is 2. Now assume that the zebra plays until she registers every possible outcome at least once, that is, once she has registered at least one of each of the outcomes she stops. The expected number of turns she plays is
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