In a Lottery, a Player Must Choose 6 Numbers Between $\mu _ { X } = 0.750 , \sigma X = 35.992$

Multiple Choice

In a lottery, a player must choose 6 numbers between 1 and 48 inclusive. Six balls are then randomly selectedfrom an urn containing 48 balls numbered from 1 to 48. The random variable X represents the number ofmatching numbers. What are the mean and standard deviation of the random variable X?

A) $\mu _ { X } = 0.750 , \sigma X = 35.992$
B) $\mu _ { X } = 0.750 , \sigma X = 0.810$
C) $\mu _ { X } = 0.125 , \sigma X = 35.992$
D) $\mu _ { X } = 0.125 , \sigma X = 0.810$