You should answer the following questions as if one word is chosen at random from this sentence. Find the distribution of each random variable: (a) Let X be the length of the word. (b) Let Y be the number of distinct consonant letters per word (letters that are NOT vowels). (c) Let Z be the number of distinct letters per word
Word | X | Y | Z |
You | 3 | 1 | 3 |
should | 6 | 4 | 6 |
answer | 6 | 4 | 6 |
the | 3 | 2 | 3 |
following | 9 | 5 | 7 |
questions | 9 | 4 | 8 |
as | 2 | 1 | 2 |
if | 2 | 1 | 2 |
one | 3 | 1 | 3 |
word | 4 | 3 | 4 |
is | 2 | 1 | 2 |
chosen | 6 | 4 | 6 |
at | 2 | 1 | 2 |
random | 6 | 4 | 6 |
from | 4 | 3 | 4 |
this | 4 | 3 | 4 |
sentence | 8 | 4 | 5 |
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