9) Suppose that events A and B are dependent events with P(A) = 0.37. P(B) = 0.27. and P(BIA) = 0.18. Find the following probabilities and round your answers to 4 decimal places. a) P(A and B) = b) P(A or B) =

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### Probabilities of Dependent and Independent Events

#### Problem 9

Suppose that events A and B are dependent events with \( P(A) = 0.37 \), \( P(B) = 0.27 \), and \( P(B \mid A) = 0.18 \). Find the following probabilities and round your answers to 4 decimal places.

a) \( P(A \text{ and } B) = \)

b) \( P(A \text{ or } B) = \)

#### Problem 10

Suppose now that events A and B are independent events with \( P(B) = 0.27 \) and \( P(A \mid B) = 0.26 \). Find the following probabilities and round your answers to 4 decimal places.

a) \( P(A) = \)

b) \( P(B \mid A) = \)

c) \( P(A \text{ and } B) = \)

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Transcribed Image Text:Certainly! Below is the transcription of the image content prepared for an educational website. --- ### Probabilities of Dependent and Independent Events #### Problem 9 Suppose that events A and B are dependent events with \( P(A) = 0.37 \), \( P(B) = 0.27 \), and \( P(B \mid A) = 0.18 \). Find the following probabilities and round your answers to 4 decimal places. a) \( P(A \text{ and } B) = \) b) \( P(A \text{ or } B) = \) #### Problem 10 Suppose now that events A and B are independent events with \( P(B) = 0.27 \) and \( P(A \mid B) = 0.26 \). Find the following probabilities and round your answers to 4 decimal places. a) \( P(A) = \) b) \( P(B \mid A) = \) c) \( P(A \text{ and } B) = \) ---
Expert Solution
Step 1

It is given that 

P(A) = 0.37

P(B) = 0.27

P(B/A) = 0.18

 

 

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