Question 3. A city is studying the role of drug use on vehicle accidents. The officials obtain experimental research results that suggests that driving under the influence (DUI) culminates in accidents more frequently than driving sober (~DUI) P(Accident DUI) : = 0.4 whereas P(Accident |~DUI) = 0.1 Suppose that anonymous survey research suggests how prevalent driving under the influence is in the city, P (DUI) = 0.25. i) ii) iii) Show that Accident and DUI are not statistically independent variables. Find how likely it is that an accident in this city involved a driver who was under the influence, P (DUI Accident). For the two conditional probabilities, P (Accident|DUI) and P(DUI|Accident), explain which relationship between the events is a causal one, and which is an inferential one.

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.
Chapter1: Functions
Section1.2: The Least Square Line
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Question 3. A city is studying the role of drug use on vehicle accidents. The officials obtain
experimental research results that suggests that driving under the influence (DUI) culminates in
accidents more frequently than driving sober (~DUI)
P(Accident|DUI) = 0.4 whereas P(Accident|~DUI) = 0.1
Suppose that anonymous survey research suggests how prevalent driving under the influence is
in the city, P(DUI) = 0.25.
i)
ii)
iii)
Show that Accident and DUI are not statistically independent variables.
Find how likely it is that an accident in this city involved a driver who was under the
influence, P(DUI|Accident).
For the two conditional probabilities, P (Accident | DUI) and P(DUI Accident),
explain which relationship between the events is a causal one, and which is an
inferential one.
Transcribed Image Text:Question 3. A city is studying the role of drug use on vehicle accidents. The officials obtain experimental research results that suggests that driving under the influence (DUI) culminates in accidents more frequently than driving sober (~DUI) P(Accident|DUI) = 0.4 whereas P(Accident|~DUI) = 0.1 Suppose that anonymous survey research suggests how prevalent driving under the influence is in the city, P(DUI) = 0.25. i) ii) iii) Show that Accident and DUI are not statistically independent variables. Find how likely it is that an accident in this city involved a driver who was under the influence, P(DUI|Accident). For the two conditional probabilities, P (Accident | DUI) and P(DUI Accident), explain which relationship between the events is a causal one, and which is an inferential one.
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