Cumulative distribution function

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a. State whether the following statement is true or false, and explain why you reach this conclusion:

For a normally distributed random variable, P(97<X< 101) = P(97<=X<=101) = P(97<=X<=101).

b. For a continuous random variable, is the probability density function, f(x), or the cumulative distribution function, F(x), more useful in calculating probabilities? Explain why you reach this conclusion.

Reference no: EM131251538

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