Police plan to enforce speed limits by using radar traps at four different locations within the...

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Police plan to enforce speed limits by using radar traps atfour different locations within the city limits. A person who isspeeding on his/her way to work has probabilities of 0.2, 0.1, 0.5,and 0.2, respectively, of passing through these locations (location1, location 2, location 3, and location 4, respectively). The radartraps at each of the locations (location 1, location 2, location 3,and location 4, respectively) will be operated 40%, 30%, 20%, and30% of the time. If a randomly selected person received a speedingticket on his/her way to work, what is the probability that he/shepassed through the radar trap located at location 1? (10points)
Hint: Consider the following five events:
A: a speeding person receives a speeding ticket (note: aspeeding person will receive a speeding ticket if the person passesthrough the radar trap when operated.)
B₁: a speeding person passing throughlocation 1,
B₂: a speeding person passing throughlocation 2,
B₃: a speeding person passing throughlocation 3,
B₄: a speeding person passing throughlocation 4.

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A is an outcome when speeding person receives a ticketB1B2B3B4 indicates the probability of receiving ticket whenperson passing through location 1234PB1 See Answer

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