Question: Consider a soft drink vending machine. Each time a customer inserts a dollar, the vending machine outputs a soda. Occasionally a soda gets stuck (this

Consider a soft drink vending machine. Each time a customer inserts a dollar, the vending machine outputs a soda. Occasionally a soda gets stuck (this is a failure). Assume that mean time between failures is 1500 hours. Assume the failure rate follows a negative exponential distribution.

a. What is the failure rate?

Answer: __________

b. What is the probability that the vending machine will fail before 1250 hours?

Answer: __________

c. What is the probability that the vending machine will not fail until at least 1800 hours?

4. (15 points) Consider a soft drink vending machine. Each time a customer inserts a dollar, the vending machine outputs a soda. Occasionally a soda gets stuck (this is a failure). Assume that mean time between failures is 1500 hours. Assume the failure rate follows a negative exponential distribution. a. What is the failure rate? Answer: b. What is the probability that the vending machine will fail before 1250 hours? Answer: c. What is the probability that the vending machine will not fail until at least 1800 hours

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