AnswersCommon Core Algebra II - MA3111 B-ICProperties of Probability Distributions

Introduction to Normal Distributions Answers

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81

What percent of babies born in the United States are classified as having a low birth weight (< 2,500 g)? Explain how you got your answer.

Answer:

2.5%. The z-score for 2,500 g is -2. About 95% of babies weigh between 2,500 g and 4,500 g, leaving 5% in the two tails. Since the normal distribution is symmetric, 2.5% weigh less than 2,500 g.

82

Which of the following did you include in your response? Check all of the boxes that apply.

A
The z-score for 2,500 g is –2.
B
According to the empirical rule, 95% of babies have a birth weight of between 2,500 g and 4,500 g.
C
5% of babies have a birth weight of less than 2,500 g or greater than 4,500 g.
D
Normal distributions are symmetric, so 2.5% of babies weigh less than 2,500g.

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