Answer:
Step-by-step explanation:
Given that the reaction temperature X (in deg C) in a certainchemical process has uniform distribution with A= -5 and B=5
Thus the pdf of X would be
[tex]f(x) = 0.1 , -5\leq x\leq 5[/tex]
the cumulative probability
[tex]F(x) = \frac{x-a}{10} ,-5\leq x\leq 5[/tex]
a) P(X<0) = F(0) = [tex]\frac{0-(-5)}{10} =0.5[/tex]
b) P(x<-2.5) = F(-2.5)
= [tex]\frac{0-(-2,5)}{10} =0.25[/tex]
c) P(X>-2) = 1-F(-2)
=1-0.2 = 0.8
