Suppose that $x$ has an exponential distribution with $\theta = 2$. Find $P ( x

Name: Suppose that $x$ has an exponential distribution with $\theta = 2$. Find $P ( x < 1.5 )$. A) $0.527633$ B) $0.736403$ C) $0.263597$ D) $0.472367$
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Question

Suppose that $x$ has an exponential distribution with $\theta = 2$. Find $P ( x < 1.5 )$.
A) $0.527633$
B) $0.736403$
C) $0.263597$
D) $0.472367$

Quizplus · Accepted Answer

The cumulative distribution function (CDF) for an exponential distribution is given by $1 - e^{-\frac{x}{\theta}}$. Substituting $x = 1.5$ and $\theta = 2$ into the CDF formula gives $1 - e^{-\frac{1.5}{2}} = 1 - e^{-0.75} \approx 0.527633$.

Suppose That xxx Has an Exponential Distribution With θ=2\theta = 2θ=2 Find

Suppose That $x$ Has an Exponential Distribution With $\theta = 2$ Find