X is a uniformly distributed random variable that takes values between 0 and 1. The value of E(X3) will be
A
0
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B
1/8
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C
1/4
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D
1/2
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Solution
The correct option is C 1/4 Given that X is a uniformly distributed random variable that takes values between 0 and 1 f(x)=(1;0≤x≤10;x>1 E{x3}=∫∞0x3f(x)dx