Multiple choice question choose the right answer

8. In the United States, 10% of teenager girls have iron deficiency. 20 teenager girls are chosen at random in this population. We want to find the probability that between 6 and 9 girls (inclusively) have iron deficiency. To calculate this probability, we use R and we type :

(i) pbinom(9,20,0.10)-pbinom(6,20,0.10)

(ii) pbinom(9,20,0.10)-pbinom(5,20,0.10)

(iii) pbinom(9,20,0.10)-pbinom(6,20,0.10)+dbinom(6,20,0.10)

(iv) pbinom(9,20,0.10)-pbinom(7,20,0.10)

(v) pbinom(9,20,0.10)-dbinom(5,20,0.10)

Which one of the following statements is correct ?

(A) Only (i) gives the desired probability.

(B) Only (ii) gives the desired probability.

(C) Both (ii) and (iii) give the desired probability.

(D) Both (ii) and (iv) give the desired probability.

(E) Both (i) and (v) give the desired probability.

(please show the steps of how you got to the answer)