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# Exponential Probability Calculator

Instructions: Compute exponential distribution probabilities using the form below. Please type the population mean $$(\beta)$$, and provide details about the event for which you want to compute the probability for. Notice that typically, the parameter of an exponential distribution is given as $$\lambda$$, which corresponds to $$\lambda = \frac{1}{\beta}$$

Population Mean ($$\beta$$)
=
Two-Tailed:    ≤ X ≤
Left-Tailed:    X ≤
Right-Tailed:    X ≥

More about the exponential distribution probability so you can better understand this probability calculator: The exponential distribution is a type of continuous probability distribution that can take random values on the the interval $$[0, +\infty)$$ (this is, all the non-negative real numbers). The main properties of the exponential distribution are:

• It is continuous (and hence, the probability of any singleton even is zero)

• It is skewed right

• It is determined by one parameter: the population mean

• The population mean and the population variance are equal

Using the above exponential distribution curve calculator, you will be able to compute probabilities of the form $$\Pr(a \le X \le b)$$, with its respective exponential distribution graphs. This not exactly a exponential probablity density calculator, but it is a cumulative exponential normal distribution calculator. Type the parameters for a and b to graph the exponential distribution based on what your need to compute. If you need to compute $$\Pr(3\le X \le 4)$$, you will type "3" and "4" in the corresponding boxes of the script.

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