Assume we have a course with $341$ students and to each student we assign a grade

between A to F$.$ The number of students obtaining each grade is shown in the figure

below:

a$)[3]$ Find the minimum amount of bits required to record the grade of all the students.

MUST show steps $(0$ marks if no steps!$)$

We require $731$ or $730$ bits to record the grade of all the students $($depending on how many

decimals you use in the calculation$).$

b$)[2]$ How many bits are required to record the grades of all the students if the probability

that a student gets A or B or C or D or E or F is the same? MUST show steps $(0$ marks

if no steps!$)$

We require $880$ or $882$ or $887$ bits $$

$($depending on how many decimals you use in the calculation$).$

$20$

$118$

$108$

$66$

$1514$

$0$

$20$

$40$

$60$

$80$

$100$

$120$

$140$

A B C D E F

Number of student

Grade