Wendy’s restaurant has been recognized for having the fastest average service time among fast food restaurants. In a benchmark study, Wendy’s average service time of 2.2 minutes was less than those of Burger King, Chick-fil-A, Krystal, McDonald’s, Taco Bell, and Taco John’s (QRS magazine website, December 2014). Assume that the service time for Wendy’s has an exponential distribution. What is the probability that a service time is less than or equal to one minute? What is the probability that a service time is between 30 seconds and one minute? Suppose a manager of a Wendy’s is considering instituting a policy such that if the time it takes to serve you exceeds five minutes, your food is free. What is the probability that you will get your food free?

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Wendy’s restaurant has been recognized for having the fastest average service time among fast food restaurants. In a benchmark study, Wendy’s average service time of 2.2 minutes was less than those of Burger King, Chick-fil-A, Krystal, McDonald’s, Taco Bell, and Taco John’s (QRS magazine website, December 2014). Assume that the service time for Wendy’s has an exponential distribution.

  1. What is the probability that a service time is less than or equal to one minute?
  2. What is the probability that a service time is between 30 seconds and one minute?
  3. Suppose a manager of a Wendy’s is considering instituting a policy such that if the time it takes to serve you exceeds five minutes, your food is free. What is the probability that you will get your food free?
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