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Question
Solve the following problem :
Let X denote the reaction temperature in Celsius of a certain chemical process. Let X have the p. d. f.
f(x) = `{((1)/(10), "for" -5 ≤ x < 5),(0, "otherwise".):}`
Compute P(X < 0).
Solution
P(X < 0) = `int_(-5)^0 f(x)*dx`
= `(1)/(10) int_(-5)^0 1*dx`
= `(1)/(10)[x]_(-5)^0`
= `(1)/(10)(0 + 5)`
= `(1)/(2)`.
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