If random variable X follows the Binomial distribution XBino

If random variable X follows the Binomial distribution: X~Binomial(8,0.7), which among the following statements is/are correct?

X can take 8 different values.

P(X>=3)+P(X<=3)=1

P(X<6)=P(X=0)+P(X=1)+P(X=2)+P(X=3)+P(X=4)+P(X=5)+P(X=6)

P(X>6)=1-P(X<7) P(2

Solution

The correct statements are

P(X>=3)+P(X<=3)=1

P(2<X<=4)=P(X<=4)-P(X<=2)