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? What is the probability of 30 seconds or less between telephone calls?  What is the probability of 1 minute or less between telephone calls?

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
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Chapter1: Combinatorial Analysis
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Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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  1. 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?
  2. What is the probability of 30 seconds or less between telephone calls? 
  3. What is the probability of 1 minute or less between telephone calls? 
  4. What is the probability of 5 or more minutes without a telephone call? 
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