Suppose you are analyzing the monthly temperature data for a region over a $5-$month period. The temperature data for each month across different cities is stored in the following matrix:

temperature $=\left[\begin{array}{ccccc}22& 28& 32& 35& 25\\ 18& 25& 20& 22& 27\\ 30& 32& 33& 31& 29\\ 25& 29& 28& 24& 26\end{array}\right]$

This matrix represents the temperature readings $($in Celsius$)$ for $4$ cities $($rows$)$ over $5$ months $($columns$).$ Perform the following operafions:

Given this matrix as defined, perform the following operations:

a$.$ Write MATLAB code using vectorized operations to calculate the average temperature for each city over the $5-$month period. The output should be a vector containing the average temperature for each city.

For the provided 'temperature' matrix, your result should be a vector like $[28\mathrm{.}4,22\mathrm{.}4,31\mathrm{.}0,26\mathrm{.}4].$

b$.$ Write a MATLAB script that accomplishes the same task as part $($a$)$ using a for loop and an internal if$-$statement to check if the temperature for any city in a month is above $30C$ before averaging.