<p>Example 1 The alarm clock has the following: (1) alarm set time, (2) current time, and (3) desired “snooze” time. Use your knowledge of loops (for-end and/or while-end) and conditional statements to write a MATLAB program that outputs the wake up time of an individual using an alarm clock. The program inputs are: (1) Alarm set time (disregard AM and PM setting), alarmset as an array with 1 row and 2 columns, with the first element being the hour and the second element being the minutes. (2) Initial “snooze” time, isnooze. (This time is always ≥4) (3) Number of times the “snooze” button is used, n. (0 ≤ n ≤ 50) Each time the snooze button is used after the first use the snooze time decreases by 1 minute, however, the minimum snooze time is 4 minutes. The program output is (after the n snooze(s)): (1) Final wake up time, wakeup as an array with 1 row and 2 columns, with the first element being the hour and the second element being the minutes.</p><p>Example: If the alarm set time is at 7:30 and is entered as alarmset=[7 30], the initial snooze time is set at 8 minutes, and the snooze button was used 6 times, the wake up time is 8:04 (overall snooze time is: 8+7+6+5+4+4=34), hence wakeup=[8 4]. Test the program for the above example.</p><p>Example 2 a) A prime number is a positive whole number which has exactly two distinct number divisors. In other words, a prime number is only divisible by itself and 1. For example, 2, 3, 5, 7, 11, 13 are prime numbers, note that the number 1 is not a prime number. Use your knowledge of loops (for-end and while-end) and/or conditional statements to write a MATLAB program that determines if an input number is a prime number. The program inputs are: 1) Any whole number, n. ( n  1) The program outputs are: 2) Brief description on whether or not the input number is a prime number.</p><p>Test your program for the number 97, which is a prime number. b) Provided with the following geometric series: S  a  ar ar 2  ...  ar n  write a MATLAB program that uses your programming knowledge (for-end loops and/or while-end loops and/or conditional statements) to determine the value of S given inputs a, r and n. The inputs are: 1) Constant, a. a  0 2) Value, r r  0 3) Value, n. n  0 The program outputs are: 2) The numeric value of S.</p><p>Test and run your program for the following combination of a, r, and n. a = 3, r = 2.1, n = 8.</p>