Let X∼B(n,0.4)X\sim B(n,0.4)X∼B(n,0.4). It is known that P(X=1)=4P(X=0)P(X=1)=4P(X=0)P(X=1)=4P(X=0).
Show that n=6n=6n=6.
Find P(X≥2)P(X\geq2)P(X≥2).
State one assumption required if X X\,X counts successful attempts by one player.