It is known that the weights of male Persian cats are normally distributed with mean 6.1 kg and variance 0.5² kg². (a) Sketch a diagram showing the above information. (b) Find the proportion of male Persian cats weighing between 5.5 kg and 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 of less than 5.3 kg.

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