Answer:
Part a: The probability of each letter is given in the table below.
Part b: The average information in this message is 1.91.
Explanation:
Part a:
The message is given as
FORMULA FOR SUCCESS
Total number is given as n=17
Letter x Probability p(x)
F 2 2/17
O 2 2/17
R 2 2/17
M 1 1/17
U 2 2/17
L 1 1/17
A 1 1/17
S 3 3/17
C 2 2/17
E 1 1/17
Part b
The information is given as [tex]\sum{xp(x)}[/tex]
Letter x Probability p(x) xp(x)
F 2 2/17 4/17
O 2 2/17 4/17
R 2 2/17 4/17
M 1 1/17 1/17
U 2 2/17 4/17
L 1 1/17 1/17
A 1 1/17 1/17
S 3 3/17 9/17
C 2 2/17 4/17
E 1 1/17 1/17
______________________________________
Total 1.91
So the average information in this message is 1.91.
