There is a 65% chance that a painter will work today, a 35% chance that it will storm today, and a 15% chance of both happening. Determine whether the events a painter working today and a storm today are approximately independent events. Justify mathematically.

There is a 65% chance that a painter will work today, a 35% chance that it will storm today, and a 15% chance of both happening. Determine whether the events a painter working today and a storm today are approximately independent events. Justify mathematically.

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Question

Approximately independent, because 0.35 ≠ 0.43

Not independent, because 0.35 ≠ 0.43

Approximately independent, because 0.35 ≠ 0.23

Not independent, because 0.35 ≠ 0.23

There is a 65% chance that a painter will work today, a 35% chance that it will storm today, and a 15% chance of both happening. Determine whether the events a painter working today and a storm today are
approximately independent events. Justify mathematically.

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