The annual per capita consumption of ice cream (in pounds) in the United States can be approximated by a normal distribution with mean of 20.7 lbs and a standard deviation of 4.2 lbs. 1. Use the Empirical Rule to approximate the percentage of the population that consumes between 12.3 lbs and 29.1 lbs of ice cream on average yearly. Answer in a complete sentence in context. 2. What proportion of randomly selected people living in the US consume between 15 lbs and 30 lbs of ice cream on average yearly? Answer in a complete sentence in context including the probability either as a decimal rounded to 4 places or a % rounded to 2 decimal places. (NOTE: this is just another way to ask: Find the probability that a randomly selected person living in the US consumes between 15 lbs and 30 lbs of ice cream on average yearly?) 3.  Find the probability that the population consumes at most 10 lbs yearly? Answer in a complete sentence in context including the probability either as a decimal rounded to 4 places or a % rounded to 2 decimal places.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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The annual per capita consumption of ice cream (in pounds) in the United States can be approximated by a normal distribution with mean of 20.7 lbs and a standard deviation of 4.2 lbs.

1. Use the Empirical Rule to approximate the percentage of the population that consumes between 12.3 lbs and 29.1 lbs of ice cream on average yearly. Answer in a complete sentence in context.

2. What proportion of randomly selected people living in the US consume between 15 lbs and 30 lbs of ice cream on average yearly? Answer in a complete sentence in context including the probability either as a decimal rounded to 4 places or a % rounded to 2 decimal places. (NOTE: this is just another way to ask: Find the probability that a randomly selected person living in the US consumes between 15 lbs and 30 lbs of ice cream on average yearly?)

3.  Find the probability that the population consumes at most 10 lbs yearly? Answer in a complete sentence in context including the probability either as a decimal rounded to 4 places or a % rounded to 2 decimal places. 

4. Kyle estimates that 24% of the population eats more ice cream than he does. Find how much ice cream Kyle eats per year and in what percentile does this put Kyle. Answer in a complete sentence in context.

5. Between what two values does the middle 80% of the consumption lie? Answer in a complete sentence in context.

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