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The time between customer orders at a small coffee shop is a random variable. During an eight-hour shift, the barista measures time between successive customer order and finds that the time between customer orders is on average 55 seconds.Furthermore, she discovers times are more likely to be close to 0, and less likely as they get further away from 0.

a. State the distribution that will best model random variable. Choose from the common distributions: Uniform, Exponential or Normal distribution. Explain your reasoning.

b. State the parameter values that describe the distribution.

c. Give the probability density function.