Binomial Lecture Practice

If X~B(100, 1/3), then E(X)=

• 200/9

• 100/3

• 100

• 300

If X~B(30, 1/6), then Var(X)=

• 5/√6

• 25/6

• 5

• √5

If X~B(20,2/5), then P(X=3)=

• 0.0123...

• 0.0160...

• 0.984...

• 0.987...

If X~B(10,3/5), then P(X<5)=

• 0.201...

• 0.166...

• 0.367...

• 0.633

If X~B(15, 2/7), if P(X>8)=

• 0.912...

• 0.965...

• 0.0875...

• 0.000769...

If X~B(20, 2/9), the mode of X is ...

if X~B(25, 5/7), what is the smallest value of n if P(X≤n)>0.7

If X~B(n, 2/11), find the largest value of n if P(X=3)>0.2

If X~B(20, 1/3), find the value of P(X=0)+P(X=1)+P(X=2)+P(X=10)+P(X=11)+P(X=12). Leave answer in 3 s.f.