For a particular species of a flower, 40 percent have smooth leaves and 60 percent have hairy leaves. Suppose that you randomly pick 15 flowers of this species.
(a) Compute the expected number of flowers with smooth leaves.
μ=np=(Carry 2 decimal digits.)
(b) Compute the probability that more than 8 flowers will have smooth leaves.
P(X>8)=1-P(X≤8)=(Carry 4 decimal digits.)
(c) Compute the probability that exactly 5 flowers will have smooth leaves.
P(X=5)=P(X≤5)-P(X≤4)=(Carry 4 decimal digits.)