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Are the following statements true or false? Please explain why it's true or false as well....

Are the following statements true or false? Please explain why it's true or false as well.

For a normally distributed random variable, P(X > µ) = .5

Independent variables may be linearly related

Math   Statistics-And-Probability   
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Answer #1

For a normally distributed random variable, P(X > µ) = .5

Answer: True, because probability for the normal distribution above the mean or below the mean is 0.5 as we know that the normal distribution is symmetric about mean. Half of the probability is below the mean and half of the probability above the mean.

Independent variables may be linearly related

Answer: True, because there is a possibility of autocorrelation in which independent variables are linearly related.

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