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The number of birth defects in a region is commonly modeled as having a binomial distribution, with a rate of four birth defects per 100 births considered a typical rate in the United States. What is the probability that a county that had 200 births during the year would have between 4 and 12 birth defects. Use both the binomial distribution and the Normal approximation with the appropriate continuity correction from the table below. Is the normal approximation reasonable?

The number of birth defects in a region is commonly modeled as having a binomial distribution, with a rate of four birth defects per 100 births considered a typical rate in the United States. What is the probability that a county that had 200 births during the year would have between 4 and 12 birth defects. Use both the binomial distribution and the Normal approximation with the appropriate continuity correction from the table below. Is the normal approximation reasonable?

College Algebra (MindTap Course List)
College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter8: Sequences, Series, And Probability
Section8.7: Probability
Problem 55E: Conditional probability About 25 of the population watches the evening television news coverage as...
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The number of birth defects in a region is commonly modeled as having a binomial distribution, with a rate of four birth defects per 100 births considered a typical rate in the United States. What is the probability that a county that had 200 births during the year would have between 4 and 12 birth defects. Use both the binomial distribution and the Normal approximation with the appropriate continuity correction from the table below. Is the normal approximation reasonable?
Binomial Distribution P(x = 10) P(x > 10) P(x <= 10) P(x = c) P(x > c) P(x <= c) P(x<c) P(x >= c) P(a<x< b) P(x < 10) P(x >= 10) P(9<x<11) Normal Approximation P(9.5<x< 10.5) P(x > 10.5) P(x < 10.5) P(c-0.5<x<c+0.5) P(x > c +0.5) P(x<c+0.5) P(x<c-0.5) P(x < 9.5) P(x > c-0.5) P(x > 9.5) P(a -0.5 < x < b +0.5) P(8.5<x< 11.5) Notes Includes c Does not include c Includes c Does not include c Includes c
Transcribed Image Text:Binomial Distribution P(x = 10) P(x > 10) P(x <= 10) P(x = c) P(x > c) P(x <= c) P(x<c) P(x >= c) P(a<x< b) P(x < 10) P(x >= 10) P(9<x<11) Normal Approximation P(9.5<x< 10.5) P(x > 10.5) P(x < 10.5) P(c-0.5<x<c+0.5) P(x > c +0.5) P(x<c+0.5) P(x<c-0.5) P(x < 9.5) P(x > c-0.5) P(x > 9.5) P(a -0.5 < x < b +0.5) P(8.5<x< 11.5) Notes Includes c Does not include c Includes c Does not include c Includes c
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