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.
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter12: Probability
Section12.3: Conditional Probability; Independent Events; Bayes' Theorem
Problem 27E: Another friend asks you to explain how to tell whether two events are dependent or independent. How...
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
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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