LIST ASSIGNMENT ERROR

I am trying to assign strings to a list "a" based on the value generated randomly. but when I run the code, I get this error:

a[i]="INT" IndexError: list assignment index out of range

import random

a= list()

for i in range(35):
b=random.randint(0,1)
if b==0:

    a[i]="Internet"
else:
    a[i]="Library"


print(a[5])


fout=open("/Users/BATTLEDRUM/Desktop/review.txt","w")

for i in range(len(a)):

fout.write(a[i]+"\n")



print(a.count("Library"))

What am I doing wrong?