a)A farmer owns 60 acres of land. Based on past experience she knows that the yield from each individual acre is normally distributed with mean of 120 tonnes and standard deviation of 12 tonnes. You are required to assist the farmer in planning for next year by finding the probability that:

i)the mean for the yield per acre will exceed 123.8 tonnes[3 marks]

i)the mean yield per acre will fall between 117 and 122 tonnes[7 marks]