Q8Multiple correct3 Marks13 Apr 2025

A customer support center tracks the time agents take to resolve customer queries. Let X (in minutes) represent the resolution time, which follows an exponential distribution with an average resolution time of 2 minutes. Which of the following option(s) is/are true?

A

The standard deviation of time taken to resolve a query is 2 minutes.

B

The variance of the time to resolve a query is 4 minutes^2.

C

The probability that a query is resolved within k minutes is 1 - (1 - e^-0.5k).

D

The probability that resolving a query takes more than 3 minutes is e^-1.5.