The mean daily production of a herd of cows is assumed to be normally distributed with a mean of 30 liters, and standard deviation of 4.5 liters.

Question

The mean daily production of a herd of cows is assumed to be normally distributed with a mean of 30 liters, and standard deviation of 4.5 liters.

A) What is the probability that daily production is between 33.9 and 42.4 liters? Do not round until you get your your final answer.

(Round your answer to 4 decimal places.)

Answer 1

Hi L.W.,

Curious that the item actually produced is never mentioned. I can conceive of at least 2 liquids that dairy cows produce copiously. As far as "normally distributed", I should hope that they don't hold one of these all in until they get into the barn at night!

You need a normal probability distribution table; calculate your range in terms of units of sigma (which you are given), then read the table (which is in that type of units).

-- Cheers, -- Mr. d.