Question 1 Flexi mart is a private mushroom farm located in the lush surroundings of the Drakensburg Mountains. The farm sells mushrooms to the local residents and on average sells, 1200 kgs with a standard deviation of 200 kgs of mushrooms per day. Given this information answer the following questions i) What is the probability that the farm sells between 900 and 1200 kgs in a day? [4] ii) What is the probability the farm will sell more than 1500kgs of mushrooms? [4] iii) Given that the first 40% of mushrooms sold are used for canning, what is the maximum number of mushrooms needed for this process? [5] iv) Assuming that the cost of a kg of mushrooms is ZAR 1.75, what would be the maximum amount of revenue made from canning the first 40% of mushrooms sold. [2] b ) Flexi mart wants to estimate the mean value of the weight of mushrooms required to make quality pig feed. They take a random sample of 790 batches of pig feed and find the mean weight of mushrooms is normally distributed with a sample mean 216 kgs and a population standard deviation of 42 kgs. Find the 85% confidence interval estimate for the actual mean weight of mushrooms required for quality pig feed. [5]