The coca cola drinks transporter finds that when unloading the drink at their destination X bottles will be found damaged. The following table gives the distribution of damaged bottles for the five consecutive days

Find a) i) P(X = 2) ii) P(3 ≤ X ≤ 6) iii) P(3 < X < 6) iv) P(X ≤ 5) v) P(X < 5)

b) Find the probability that more than two bottles but less than five were damaged within the five consecutive days

c) Find E(X), V(X) and SD (X)