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Latest revision as of 20:00, 4 May 2023
Let [math]T[/math] denote the time in minutes for a customer service representative to respond to 10 telephone inquiries. [math]T[/math] is uniformly distributed on the interval with endpoints 8 minutes and 12 minutes. Let [math]R[/math] denote the average rate, in customers per minute, at which the representative responds to inquiries, and let [math]f(r)[/math] be the density function for [math]R[/math].
Determine [math]f(r)[/math], for [math]\frac{10}{12} \lt r \lt \frac{10}{8}[/math].
- 12/5
- 3-5/2r
- [math]3r-5\ln(r)/2[/math]
- [math]\frac{10}{r^2}[/math]
- [math]\frac{5}{2r^2}[/math]
Copyright 2023. The Society of Actuaries, Schaumburg, Illinois. Reproduced with permission.