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The weight of a newborn elephant is normally distributed with a mean of 101.3 kg and...

The weight of a newborn elephant is normally distributed with a mean of 101.3 kg and a standard deviation of 4.7 kg. A newborn elephant is selected, and we are interested in its weight.
a) Define the random variable of interest.
b) State the distribution of X.
c) What is the probability that its weight is more than 95 kg?
d) What is the probability that its weight is not 100 kg?
e) What is the mean weight?

Math   Statistics-And-Probability   
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Homework Answers

Answer #1

a. Here random variable is the weight of a newborn elephant

b. As population is normal, distribution of x is also normal

c.

As distribution is normal we can convert x to z

d. First we will find

So

e. Mean weight is

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