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3 A of ch 75 -5 A study of traffic patterns in a large city shows that if the weather is rainy, there is a 50% chance of an automobile accident occurring during the morning commute. If the weather is clear, the chance of an accident is reduced to 25%. Suppose the weather forecast for tomorrow predicts a 75% chance of rain. Draw a tree diagram based on the information in the work space. (Level 4) Show Your Work US be A of ch

3 A of ch 75 5 A study of traffic patterns in a large city shows that if the weather is rainy there is a 50 chance of an automobile accident occurring during th class=

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Solution

We can create the solution with the following tree diagram:

Part 2

For this case we want this probability:

P(rain and accident)

And we can do this operation:

P(rain and accident) = 0.75 *0.5 = 0.375

Part 3

For this case we want this probability:

P( no rain and accident)

And we can do this operation:

P(no rain and accident) = 0.25 *0.25 = 0.0625

Part 4

P(Accident) = 0.5*0.75 + 0.25*0.25= 0.4375

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