Recent questions tagged exponential-distribution

Is lambda (λ) parameter used in Poisson Distribution, Exponential Distribution the same. If say λ = 4 customers per hour, then Expected value, E(possion X) = rate = λ = 4...

Let $X$ be an exponentially distributed random variable with mean $\lambda(>0)$. If $P(X>5)=0.35$, then the conditional probability $P(X>10 \mid X>5)$ is $\_\_\_\_$. (Rou...

​​​​​​It is given that $P(X \geq 2)=0.25$ for an exponentially distributed random variable $X$ with $E[X]=\dfrac{1}{\lambda}$, where $E[X]$ denotes the expectation of $X$...

​​​​For $x \in \mathbb{R}$, the floor function is denoted by $f(x)=\lfloor x\rfloor$ and defined as follows\[\lfloor x\rfloor=k, \quad k \leq x < k + 1,\]where $k$ is a...

The number of miles that a particular car can run before its battery wears out is exponentially distributed with an average of $10,000$ miles. The owner of the car needs ...