Suppose that an experiment consists of picking at random a binary string of length six. Consider the following events: • E1: the binary string chosen ends with 0; • E2: the binary string chosen begins with 11; • E3: the binary string chosen has exactly four 0’s. A) Determine whether E2 and E3 are independent. B) Determine whether E1 and E3 are independent.

Suppose that an experiment consists of picking at random a binary string of length six. Consider the following events: • E1: the binary string chosen ends with 0; • E2: the binary string chosen begins with 11; • E3: the binary string chosen has exactly four 0’s. A) Determine whether E2 and E3 are independent. B) Determine whether E1 and E3 are independent.

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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Question

Suppose that an experiment consists of picking at random a binary string of length six.
Consider the following events:
• E1: the binary string chosen ends with 0;
• E2: the binary string chosen begins with 11;
• E3: the binary string chosen has exactly four 0’s.

A) Determine whether E2 and E3 are independent.

B) Determine whether E1 and E3 are independent.

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