# Find the percentage of mature adult male

**Question description**

The weights of mature male Tasmanian Devils are normally distributed with a mean of 11kg and standard deviation of 0.8kg. Use this information to answer the following questions. You must show your working for these questions. You can type the formulae for your answers on one line, for example: z=(y-m)/s or z=(y-bar-m)/(s/Ön), or, if you are a more confident Word user you can use the equation editor in Word to form your equations. Alternatively, you can include your (neat!) hand-written equations (and diagrams if you wish) by photographing them so that you have the images saved as picture files and then pasting these into your solution.

a) A conservationist conducting a study of Tasmanian Devils wants to determine the effects of weight on overall health. He intends to sample mature male Tasmanian Devils which weigh at least 10.5kg. If 100 mature male Tasmanian Devils are selected at random, how many are expected to meet the requirement for his study?

b) A special breeding programme has been designed for mature male Tasmanian Devils. Only those with weights among the heaviest 3% are to be included in the programme. What is the lightest weight a mature male Tasmanian Devil can have to be eligible for this breeding programme?

c) The ideal body weight for a mature, adult male Tasmanian Devil is between 10.2 kg and 12 kg. Find the percentage of mature adult male Tasmanian Devils which are in the ideal weight range.

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