GATE Mechanical Engineering (ME) 2019 Shift 1 Solved Paper

Question : 45 of 65

Marks: +1, -0

The variable

x

takes a value between 0 and 10 with uniform probability distribution. The variable y takes a value between 0 and 20 with uniform probability distribution. The probability of the sum of variables

( {x}+ {y})

being greater than 20 is

$0.33$
$0$
$0.25$
$0.50$

Validate

Solution:

Area

(∆ P Q R)=\;{1}/{2} × 10 × 10=50

Total area

=20 × 10=200

probability

=\;{50}/{200}=0.25=25 \%

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