GATE 2014 [Set-2]

Question 12

Each of the nine words in the sentence “The quick brown fox jumps over the lazy dog” is written on a separate piece of paper. These nine pieces of paper are kept in a box. One of the pieces is drawn at random from the box. The expected length of the word drawn is _____________. (The answer should be rounded to one decimal place.)

A	3.9
B	4.0
C	4.1
D	4.2

Engineering-MathematicsProbabilityVideo-Explanation

Question 12 Explanation:

“The quick brown fox jumps over the lazy dog”
There are ‘9’ words in this sentence.
No. of characters in each word
The (3)
quick (5)
brown (5)
fox (3)
jumps (5)
over (4)
the (3)
lazy (4)
dog (3)
Each word has equal probability.
So expected length = 3×1/9+5×1/9+5×1/9+3×1/9+5×1/9+
4×1/9+3×1/9+4×1/9+3×1/9
= 35/9
= 3.9

Correct Answer: A

Question 12 Explanation:

“The quick brown fox jumps over the lazy dog”
There are ‘9’ words in this sentence.
No. of characters in each word
The (3)
quick (5)
brown (5)
fox (3)
jumps (5)
over (4)
the (3)
lazy (4)
dog (3)
Each word has equal probability.
So expected length = 3×1/9+5×1/9+5×1/9+3×1/9+5×1/9+
4×1/9+3×1/9+4×1/9+3×1/9
= 35/9
= 3.9

Computer-Networks

Algorithm-Paradigms

Computer-Networks

Algorithm-Paradigms

GATE 2014 [Set-2]