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Engineering Maths · Q26

Probability and Statistics

Engineering and GATE · Engineering Maths · question 26

Q26

If x is a continuous, real valued random variable defined over the interval (- , + ) and its occurrence is defined by the density function given as: f ( x ) = 1 2 * b e^ - 12 ( x - a b )^2 where 'a' and 'b' are the statistical attributes of the random variable x. The value of the integral _ - ^ a 1 2 * b e^ - 12 ( x - a b )^2 dx

If {x} is a continuous, real valued random variable defined over the interval (-, +) and its occurrence is defined by the density function given as:
    where 'a' and 'b' are the statistical attributes of the random variable {x}. The value of the integral
A.
1
B.
0.5
Answer
C.
D.

Answer: Option B

Solution

Answer: Option B
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