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It is known that error in measurement of reaction temperature (in 0° c) in a certain experiment is continuous r.v. given by f (x) = x23 , for –1 < x < 2 and = 0 otherwise - Mathematics and Statistics

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Question

It is known that error in measurement of reaction temperature (in 0° c) in a certain experiment is continuous r.v. given by

f (x) = `x^2/ 3` , for –1 < x < 2 and = 0 otherwise

Sum

Solution

P(0 < x ≤1) =`int_(0)^1f(x)dx`

=`int_(0)^1 x^2/3dx`

=`1/3[x^3/3]_0^1`

= `1/3[1/3-0]`

= `1/9`

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Probability Distribution of a Continuous Random Variable
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Chapter 7: Probability Distributions - Exercise 7.2 [Page 239]

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