DESCRIPTIVE STATISTICS

Question

The mean daily production of a herd of cows is assumed to be normally distributed with a mean of 35 liters, and a standard deviation of 11.3 liters.

A) What is the probability that daily production is less than 15 liters?

Answer=  Round your answer to 4 decimal places.)

Answer 1

On this type of question you want to first use the formula

z = (x – mean) / (standard deviation) in order to convert the given values over into a Z score. then once you have done that you can use technology like a calculator or Microsoft Excel to convert the value over into a probability

From the values in the question we get

z = (15  – 35)/11.3 = -1.77

for the Z values

using technology to convert that over then I get 0.0384 for the corresponding probability