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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
Find probability that X is negative
Solution
P(x is negative)
= P(0< x ≤ 1) =` int_(-1)^0 f (x) dx`
= ` int_(-1)^0 x^2/3 dx`
= `1/3[x^3/3]_-1^0`
= `1/3[0-(-1/3)]`
= `1/9`
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