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Calculation of the Exponential Distribution with examples (Step by Step) The formula for exponential distribution is derived by using the following steps: Step 1: Firstly, try to figure out whether the event under consideration is continuous and independent in nature and occurs at a roughly constant rate. Any practical event will ensure that the variable is greater than or equal to zero Step 2: Next, determine the value of the scale parameter, which is invariably the reciprocal of the mean. As 1/mean Step 3: Next, multiply the scale parameter 2 and the variable x and then calculate the exponential function of the product multiplied by minus one i.e. e- x Step 4: Finally, the probability density function is calculated by multiplying the exponential function and the scale parameter. If the above formula holds true for all x greater than or equal to zero, then x is an exponential distribution Exercises: A. For a particular Disney Ride, the mean time to wait in line is 22 minutes, distribution follows an Exponential Distribution pattern. 1. For the following, calculate the probabilities using analytical formula and compare to excel function: 2. Find the probability of the customers walting less than or equal to 15 minutes 3. Find the probability of the customers waiting more than or equal to 25 minutes 4. Find the probability of the customers waiting between 15 and 25 minutes Focus 1001