d What is the probability that an officer is promoted given that the officer is

# D what is the probability that an officer is promoted

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d. What is the probability that an officer is promoted given that the officer is a man. e. What is the probability that an officer is promoted given that the officer is a woman. Conditional Probability 𝑃(?|?) = 𝑃(? ∩ ?) 𝑃(?) Or 𝑃(?|?) = 𝑃(?∩?) 𝑃(?) Solution Solution
Objective 2: Independent Events Independent Events: Two events are independent if the occurrence of one does not affect the probability that the other event occurs. Dependent Events: If two events are not independent, we say they are dependent. Example ) Determine whether the following events are independent or dependent. a. A college student is chosen at random. The events are “being a freshman” and “being less than 20 years old.” b. A college student is chosen at random. The events are “born on Sunday” and “taking a statistics class.” Objective 3: Multiplication Law Multiplication Law: Used to compute the probability of the intersection of two events. It is based on the definition of conditional probability.

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