12 Darts Are Thrown at a Dartboard $E ( X ) = 0.6$

question 6

Multiple Choice

12 darts are thrown at a dartboard. The probability of hitting a bull's-eye is 0.1. Let X be the number of bull's-eyes hit. Calculate the expected value of the given random variable X.

• A) \(E ( X ) = 0.6\)
• B) \(E ( X ) = 1\)
• C) \(E ( X ) = 1.2\)
• D) \(E ( X ) = 6\)
• E) \(E ( X ) = 2\)

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Definitions:

Limit-Setting Responses

Actions taken to establish boundaries in relationships or situations to protect well-being and maintain control.

Groundedness

A sense of being mentally and emotionally stable and present in the moment, often cultivated through mindfulness practices.

Therapeutic Presence

The fully engaged and attentive state of a therapist during a session, promoting a positive therapeutic relationship.

Accessibility

The ease with which information, services, or facilities can be reached or used by people.