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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