Problem 3 Exponential distribution example A tech support center averages a new call every 1 2 minutes In the probability distribution below the x axis indicates the number of minutes until the next phone call Exponential Distribution 1 4 1 2 1 0 8 0 6 0 4 0 2 0 0 0 5 1 1 5 2 2 5 3 a 6 5 0 02 0 13 I b What is the probability that the next call will come in less than 0 5 minutes a Insert your answer here 3 5 a What is the probability that the next call will come in between 1 and 1 5 minutes Estimate this probability using the graph It may be helpful to begin by noting the size of each small rectangle is 0 2 by 0 1 0 02 c What is the probability that the next call will be between 0 5 and 1 minutes a Insert your answer here 4 d What is the probability that the next call will come in more than 3 minutes Would this be considered a rare event or a not so rare event