KERALA UNIVERSITY Class 5 advanced mathematics and queuing models Question Paper 2021

Practice authentic previous year questions for better exam preparation.

Sample Questions

(a) Find a least square solution to the syslem $\mathrm{AX}=\mathrm{B}$ where $\mathrm{A}=\left[\begin{array}{ll}1 & 2 \\ 1 & 5 \\ 1 & 7 \\ 1 & \mathrm{~B}\end{array}\right]$ $$ B=\left[\begin{array}{l} 1 \\ 2 \\ 3 \\ 3 \end{array}\right] \quad X=\l...
Find the co-urdinales of $v=\left[\begin{array}{l}1 \\ 2 \\ 3\end{array}\right]$, relative to the basis $v_{1}=\left[\begin{array}{l}1 \\ 1 \\ 1\end{array}\right], v_{2}=\left[\begin{array}{l}1 \\ 1 \\ 0\end{array}\right] v_{1}=\left[\begin{array}{l}...
Give formulas for: (a) Average queue length
Give formulas for: (b) Probability that number of cuslomers in the system exceeds $K$ for the M/M/1 : $\infty$ /FIFO madel.
Arrivals at a telephone booth is a Poisson process with average lime of 12 minules belween one arrival and the next. The length of a phone call is exponentially distribuled with mean a minules. Find the probability that a person arriving at the booth...