The Amount of Time It Takes to Serve Each Customer $X _ { 1 }$

question 72

Multiple Choice

The amount of time it takes to serve each customer in a bank is a random variable,X,with a mean of ? minutes and a standard deviation of ? minutes.When you arrive at the bank there are three customers in front of you.If the times for the three customers are independent of one another,which of the following shows the correct method for calculating the variance of your wait time?

• A)Var( \(X _ { 1 }\) + \(x _ { 2 }\) + \(X _ { 3 }\) )= \(3 ^ { 2 }\) Var(X)= 9 \(\sigma ^ { 2 }\)
• B)Var(3X)= 3Var(X)= 3 \(\sigma ^ { 2 }\)
• C)Var( \(X _ { 1 }\) + \(X _ { 2 }\) + \(X _ { 3 }\) )= \(\sqrt { 3 }\) Var(X)= \(\sqrt { 3 }\) \(\sigma ^ { 2 }\)
• D)Var(3X)= \(3 ^ { 2 }\) Var(X)= 9 \(\sigma ^ { 2 }\)
• E)Var( \(X _ { 1 }\) + \(X_ { 2 }\) + \(X _ { 3 }\) )= Var( \(X _ { 1 }\) )+ Var( \(X _ { 2 }\) )+ Var( \(X _ { 3 }\) )= 3 \(\sigma ^ { 2 }\)

Learn about the methods and challenges in psychological testing and assessment.

Acknowledge the global applicability and limitations of the five-factor model of personality.

Understand the concept of 100-percent-reserve banking and its impact on the money supply.

Identify the components of the M1 and M2 money supply.

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Definitions:

Therapeutic Intervention

Actions or treatments undertaken to improve a patient's health or to treat a disorder, ranging from medications to counseling.

Empathetic Communication

The practice of listening and responding to others in a way that builds mutual understanding and trust, emphasizing empathy.

Documentation Terms

Phrases and vocabulary used in records or reports to describe or detail processes, procedures, or conditions accurately.

Penetration

The action or process of making a way through or into something; in medical terms, often refers to the breach of a body part or organ.