It is claimed that the masses of a population of lions are normally distributed with a mean mass of

Question

It is claimed that the masses of a population of lions are normally distributed with a mean mass of 310 kg and a standard deviation of 30 kg. Calculate the probability that a lion selected at random will have a mass of 350 kg or more. The probability that the mass of a lion lies between a and b is 0.95, where a and b are symmetric about the mean. Find the value of a and of b.

Accepted Answer

The central 95% interval is $310\pm1.96(30)$, so $a=251.2$ kg and $b=368.8$ kg.

Calculate a normal tail probability and a symmetric central interval.

Calculate a normal tail probability and a symmetric central interval.

Solution:

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