Compute the Mean and Standard Deviation of a Hypergeometric Random $X$

question 58

Multiple Choice

Compute the Mean and Standard Deviation of a Hypergeometric Random Variable
-In a lottery, a player must choose 6 numbers between 1 and 36 inclusive. Six balls are then randomly selected from an urn containing 36 balls numbered from 1 to 36 . The random variable $X$ represents the number of matching numbers. What are the mean and standard deviation of the random variable $X$ ?

• A) \(\mu _ { X } = 1.000 , \sigma X = 29.580\)
• B) \(\mu \mathrm { X } = 1.000 , \sigma \mathrm { X } = 0.913\)
• C) \(\mu _ { X } = 0.167 , \sigma X = 29.580\)
• D) \(\mu _ { X } = 0.167 , \sigma X = 0.913\)

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Definitions:

Primacy And Recency Effects

The tendency to remember the first (primacy) and last (recency) items in a series better than those in the middle.

Schema

A cognitive framework or concept that helps organize and interpret information, allowing individuals to make sense of their experiences and the world around them.

Proactive Interference

The phenomenon where old information interferes with the ability to learn or remember new information.

Conceptual Framework

A structured plan or system that outlines the key concepts, variables, methods, and hypotheses of a research study or theory.