The Dominion Landing theme park has a new water ride,the Raging Rapids. The ride holds 36 people in boat-carsand it takes 4.1 minutes to complete the ride circuit. It alsotakes the ride attendants another 3.5 minutes (with virtually no variation) to load and unload passengers. Passengers arrive at the ride during peak park hours at the rate of4.4 per minute (Poisson distributed). Determine the lengthof the waiting line for the ride.
Continuous Probability Distributions
Probability distributions are of two types, which are continuous probability distributions and discrete probability distributions. A continuous probability distribution contains an infinite number of values. For example, if time is infinite: you could count from 0 to a trillion seconds, billion seconds, so on indefinitely. A discrete probability distribution consists of only a countable set of possible values.
Normal Distribution
Suppose we had to design a bathroom weighing scale, how would we decide what should be the range of the weighing machine? Would we take the highest recorded human weight in history and use that as the upper limit for our weighing scale? This may not be a great idea as the sensitivity of the scale would get reduced if the range is too large. At the same time, if we keep the upper limit too low, it may not be usable for a large percentage of the population!
The Dominion Landing theme park has a new water ride,
the Raging Rapids. The ride holds 36 people in boat-cars
and it takes 4.1 minutes to complete the ride circuit. It also
takes the ride attendants another 3.5 minutes (with virtually no variation) to load and unload passengers. Passengers arrive at the ride during peak park hours at the rate of
4.4 per minute (Poisson distributed). Determine the length
of the waiting line for the ride.
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