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...

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.)