The time (in minutes) between telephone calls at an insurance claims office has the exponential probability distribution:   f(x)=0.50e-0.50x  for x ≥ 0 What is the mean time between telephone calls? Mean time (µ) = ______minutes   What is the probability of 36 seconds or less between telephone calls? (Note: 36 seconds = 0.60 minutes) If required, round your answer to four decimal places. P(x ≤ 0.60) = _______________ What is the probability of 1 minute or less between telephone calls? If required, round your answer to four decimal places. P(x ≤ 1) = ______________ What is the probability of 6 or more minutes without a telephone call? If required, round your answer to four decimal places. P(x ≥ 6) = ____________

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The time (in minutes) between telephone calls at an insurance claims office has the exponential probability distribution:   f(x)=0.50e-0.50x  for x ≥ 0

  1. What is the mean time between telephone calls?
    Mean time (µ) = ______minutes  
  2. What is the probability of 36 seconds or less between telephone calls? (Note: 36 seconds = 0.60 minutes) If required, round your answer to four decimal places.
    P(x ≤ 0.60) = _______________
  3. What is the probability of 1 minute or less between telephone calls? If required, round your answer to four decimal places.
    P(x ≤ 1) = ______________
  4. What is the probability of 6 or more minutes without a telephone call? If required, round your answer to four decimal places.
    P(x ≥ 6) = ____________

 

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