Sixty percent of the mature olive trees produce more than 30 kg of olives. Ten mature olive trees were selected at random from an olive farm in Jordan. a) Find the probability that all selected mature olive trees will produce more than 30 kg of olives.

b) Find the probability that none of the selected mature olive trees will produce more than 30 kg of olives.

c) What is the probability that fewer than three mature olive trees will produce more than 30 kg of olives?

d) Calculate the probability that at least three mature olive trees will produce more than 30 kg of olives.

e) Find the expected value and the variance of the number of mature olive trees who produce more than 30 kg of olives