A Continuous Random Variable X Has the Probability Density Function $e ^ { - 2 x }$

question 17

Essay

A continuous random variable X has the probability density function f(x) = 2 $e ^ { - 2 x }$ , x $\ge$ 0.
a. Find the mean and standard deviation of X.
b. What is the probability that X is between 1 and 3?
c. What is the probability that X is at most 2?

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Definitions:

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The biological process through which genetic characteristics are transmitted from one generation to the next.

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The state of carrying a developing fetus within the female body, typically lasting about 40 weeks from the last menstrual period to childbirth.

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