Answer
a) 1
b) 1
c) 0
d) 0
e) 1
f) 0
Work Step by Step
Our domain is all integers.
a) $P(0)$ is the probability that $0=0^2$, so $P(0)=1$
b) $P(1)$ is the probability that $1=1^2$, so $P(1)=1$
c) $P(2)$ is the probability that $2=2^2=4$, so $P(2)=0$
d) $P(-1)$ is the probability $-1=(-1)^2=1$, so $P(-1)=0$.
e) $\exists xP(x)$ is satisfied by $x=0$, so this value is 1.
f) $\forall xP(x)$ is not true for $x=-1$, so this value is 0.
