Question: 4. Consider two normally distributed random variables, X1 and X2, in which X2 has a larger standard deviation and X1 has a larger mean. Indicate

4. Consider two normally distributed random variables, X1 and X2, in which X2 has a larger standard deviation and X1

has a larger mean. Indicate whether the following statement is true or false. Provide an explanation to support your

answer.

"The probability that an outcome x will be larger than 2 standard deviations from its mean will be

greater for random variable X2 than for random variable X1."

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