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1. Weights of newborn Asian elephants are approximately normally distributed with a mean of 103 kg and standard deviation of 20 kg. a) What weight

1. Weights of newborn Asian elephants are approximately normally distributed with a mean of 103 kg and standard deviation of 20 kg.

a) What weight distinguishes the heaviest 20% of newborn Asian elephants?

b) What weight distinguishes the lightest 20% of newborn Asian elephants?

c) What proportion of newborn Asian elephants weigh less than 95kg?

d) What proportion of newborn Asian elephants weigh more than 75kg?

2. a) Sketch the standard normal ("Z") distribution, to scale.

b) Find the two boundary values that define the middle 95% of the Z distribution. Report your answers to two decimal places.

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