A binomial random variable X∼Binomial(n,p)X \sim \text{Binomial}(n, p)X∼Binomial(n,p) is known to satisfy
E[X]=2andVar(X)=1.5E[X] = 2 \qquad \text{and} \qquad \text{Var}(X) = 1.5E[X]=2andVar(X)=1.5
What is P(X=0)P(X = 0)P(X=0)? Round to 4 decimal places.
(Use e−2≈0.13534e^{-2} \approx 0.13534e−2≈0.13534 if you need it.)
Select all that apply.
0.5625
0.1353
0.0000153
0.1001