Q5] [Maximum mark: 12] The weights of sheep on a farm are normally distributed with a mean of 110 kg and standard deviation of 8 kg. af Sketch a diagram of the distribution of the weights of these sheep. On [2] your diagram, label the mean and label one standard above and below the mean. bf i/ A sheep has a weight of 94 kg. Write down the number of standard deviations that this weight is below the mean. ii/ Find the probability that a sheep, chosen at random, weighs more than 94 kg cl i/ Find the probability that a sheep chosen at random weighs between 88 kg and 116 kg. [3] ii/ The farmer weighs 160 sheep. Find the number of sheep that he would expect to weigh between 88 kg and 116 kg. df Given that 75 % of the sheep weigh less than w kg, nd the value of W- [2] A sheep is chosen at random. Its weight is within the central shaded region of the following diagram: [3] Weight of sheep e/ Find the values of 'a' and 'b' [2]