A manufacturer equips its newly developed car of type Treekill optionally with or without a tracking device and with or without speed limitation technology and analyzes the first 1200 orders:

Let \(A(B)\) the random event that a car, randomly chosen from these 1200 , has speed limitation (comes with a tracking device).
(1) Calculate the probabilities \(P(A), P(B)\), and \(P(A \cap B)\) from the figures in the table.
(2) Based on the probabilities determined under a), only by using the rules developed in section 1.3.3, determine the probabilities \[P(A \cup B), P(A \mid B), P(B \mid A), P(A \cup B \mid \bar{B}), \text { and } P(\bar{A} \mid \bar{B})\]

Data from section 1.3.3

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Transcribed Image Text:

speed limitation yes no tracking device yes 74 642 no 48 436