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

question 62

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) \(\mu _ { X } = 0.125 , \sigma X = 0.810\)

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Definitions:

Equity Multiplier

A metric indicating the proportion of a firm's assets funded by owner's equity.

Times Interest Earned

A financial ratio that measures a company's ability to meet its debt obligations with its operating income.

Debt-To-Equity Ratio

An evaluation measuring how shareholder equity contrasts with debt in the economic arrangement to finance a company's assets.

Equity Multiplier

A ratio of financial leverage which quantifies the fraction of a company's assets funded by the equity of its shareholders.