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$P(X=4)\to$
BinomialPD(4, ..., ...)
$P(X\le 4)\to$
BinomialCD(4, ..., ...)
$P(X<4)=P(X\le 3)\to$
BinomialCD(3, ..., ...)
$P(X>4)=1-P(X\le 3)\to$
1-BinomialCD(3, ..., ...)
$P(2< X\le 7)\to$
BinomialCD(3, 7, ..., ...)
$P(2\le X <10\to$
BinomialCD(2, 9, ..., ...)
$P(3\le X \le 8)\to$
BinomialCD(3, 8, ..., ...)
$P(X<3\vee X>6)\to$
BinomialCD(2, ..., ...) + 1 $-$ BinomialCD(5, ..., ...)