If the random variable X is exponentially distributed with parameter $\lambda$ = 0.05,then the probability P(X 20)= 0.3679.

Name: If the random variable X is exponentially distributed with parameter $\lambda$ = 0.05,then the probability P(X > 20)= 0.3679.
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Question

If the random variable X is exponentially distributed with parameter $\lambda$ = 0.05,then the probability P(X > 20)= 0.3679.

Quizplus · Accepted Answer

This statement is true. Using the cumulative distribution function (CDF) of the exponential distribution, we can find that P(X > 20) = e^(-0.05*20) = 0.3679 (rounded to four decimal places).

If the Random Variable X Is Exponentially Distributed with Parameter λ\lambdaλ

If the Random Variable X Is Exponentially Distributed with Parameter $\lambda$