Suppose that X denotes the amount of rainfall in your hometown during a given mo

Question

Suppose that X denotes the amount of rainfall in your hometown during a given month and Y denotes the number of children born in Los Angeles during the same month. Which of the following statements best explains why X and Y are not independent?

A.The ratio of the amount of rainfall in inches to the number of children born is usually one.

B.The amount of rainfall may tell you something about the season and, since births are seasonal, it may also tell you something about the number of children born.

C.The variance for the amount of rainfall in inches is equal to the variance of the number of children born.

D.The expected value of rainfall in inches is equal to the expected number of children born.

Explanation / Answer

The amount of rainfall may tell you something about the season and, since births are seasonal, it may also tell you something about the number of children born.

Option B is correct.

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