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.

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter8: Sequences, Series, And Probability
Section8.7: Probability
Problem 50E: Medicine Out of a group of 9 patients treated with a new drug, 4 suffered a relapse. Find the...
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.
Transcribed Image Text: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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