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GATE 2023
October 4, 2023NIC-NIELIT STA 2020
October 4, 2023GATE 2016 [Set-1]
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Question 14
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A probability density function on the interval [a,1] is given by 1/x2 and outside this interval the value of the function is zero. The value of a is _________.
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0.7
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0.6
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0.5
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0.8
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Question 14 Explanation:
The property of probability density function is area under curve = 1
or
where (a, b) is internal and f(x) is probability density function.
Given,
f(x) = 1/x2 , a≤x≤1
The area under curve,
– 1 + 1/a = 1
1/a = 2
a = 0.5
or
where (a, b) is internal and f(x) is probability density function.
Given,
f(x) = 1/x2 , a≤x≤1
The area under curve,
– 1 + 1/a = 1
1/a = 2
a = 0.5
Correct Answer: C
Question 14 Explanation:
The property of probability density function is area under curve = 1
or
where (a, b) is internal and f(x) is probability density function.
Given,
f(x) = 1/x2 , a≤x≤1
The area under curve,
– 1 + 1/a = 1
1/a = 2
a = 0.5
or
where (a, b) is internal and f(x) is probability density function.
Given,
f(x) = 1/x2 , a≤x≤1
The area under curve,
– 1 + 1/a = 1
1/a = 2
a = 0.5
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