Module 5 Free Response Practice Greenwich High School MATH 3231

Liam Flaherty
11/9/2022
Mrs. Owens
AP Statistics

Show all your work. Indicate clearly the methods you use, because you will be graded on the correctness
of your methods as well as on the accuracy and completeness of your results and explanations.

1. The volume of the milk produced in a single milking session by a certain breed of cow is
Normally distributed with mean 2.3 gallons with a standard deviation of 0.96 gallons.

Part A Calculate the probability that a randomly selected cow produces between 2.0
gallons and 2.5 gallons in a single milking session. (4 points)

Using normalcdf on the TI-84 with the following values,

Lower: 2.0

Upper: 2.5

µ: 2.3

σ: 0.96

I calculated .20519

There is a 20.52% chance that a randomly selected cow produces between 2.0
gallons and 2.5 gallons in a single milking session.

Part B A small dairy farm has 20 of these types of cows. Calculate the probability that
the total volume for one milking session for these 20 cows exceeds 50 gallons. (8 points)




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