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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