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Use Excel to answer the following questions. 5. The amount of time, in seconds, a cashier spends with a customer during lunch time at a

Use Excel to answer the following questions.

5. The amount of time, in seconds, a cashier spends with a customer during lunch time at a fast food restaurant follows an exponential distribution. The average amount of time spent with a customer is 175 seconds.

  1. Write the equation for the probability density function.
  2. What is the mean and variance of this probability distribution?
  3. What is the probability a cashier spends less than 120 seconds with a customer?
  4. What is the probability a cashier spends more than 240 seconds with a customer?
  5. What is the probability a cashier spends in between 100 and 200 seconds with a customer?

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