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) \(\mu _ { X } = 0.167 , \sigma X = 0.913\)

Comprehend the concepts of dioecy and flower composition in plants.

Recognize the mechanisms of cross-pollination.

Identify the contents and functions of a pollen grain.

Grasp the formation and function of endosperm.

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Definitions:

Sensitization

An increase in behavioral response after exposure to a stimulus.

Higher-order Conditioning

A form of conditioning in which a stimulus is paired with a previously conditioned stimulus, leading to the acquisition of the same conditioned response without being directly paired with the unconditioned stimulus.

Modeling

The process of learning behaviors by observing and imitating others, a key concept in social learning theory.

Dishabituation

The renewal of a response, previously habituated, due to the presentation of a novel stimulus.