6. (14 points) It is known that the weights of male Persian cats are normally distributed with mean 6. 1 kg and variance 0. 52 kg . a. Sketch a diagram showing the above information. [2 marks b. Find the proportion of male Persian cats weighing between 5. 5 kg and [2 marks 6.5 kg. A group of 80 male Persian cats are drawn from this population. c. Determine the expected number of cats in this group that have a weight [3 marks of less than 5. 3 kg. d. It is found that 12 of the cats weigh more than x kg. Estimate the value [3 marks of I. e. Ten of the cats are chosen at random. Find the probability that exactly [4 marks) one of them weighs over 6. 25 kg