Answer
(a) P(X≥2)=0.3
(b) P(X<1.65)=0.6
(c) P(X=1.5) = 0.4
(d) P(X<1.3)or=X>21)=0.2
Work Step by Step
Given that,
f(1.25)=0.2,f(1.5)=0.4,f(1.75)=0.1,f(2)=0.2,f(2.25)=0.1,
this means that for all possible values of x,
f(x) ≥ 0,
and, P(X=1.25)+P(X=1.5)+P(X=1.75)+P(X=2)+P(X=2.25)=0.2+0.4+0.1+0.2+0.1=1
(a) P(X≥2)=P(X=2)+P(X=2.25) = 0.2+0.1=0.3
(b) P(X<1.65)=P(X=1.25)+P(X=1.5) = 0.2+0.4=0.6
(c) P(X=1.5) = 0.4
(d) P(X<1.3)or=X>21)=P(X=1.25)= 0.2
