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

Answer 1

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`