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Syndrome" (USA Today, September 29, 1999) makes the following statement: "Older women are at a greater risk of giving birth to a baby with Down Syndrome than are younger women. But younger women are more ertile, so most children with Down Syndrome are born to mothers under 30." et D = event that a randomly selected baby is born with Down Syndrome and Y = event that a randomly selected baby is born to a young mother under age 30). For each of the following probability statements, indicate whether the statement is consistent with the quote from the article, and if not, explain why not a. P(DIY) = .001, P(DIY) = .004. P(Y) = .7 b. P(DY) = .001, P(D|Y°) = .001. P(Y) = .7 c. P(DIY) = .004, P(D|Y°) = .004, P(Y) = .7 d. P(DY) = .001, P(D|Y°) = .001, P(Y) = A e. P(DIY) = .001, P(D|Y) = .001, P(Y) = 4 1. P(DIY) = .004, P(D|Y°) = .004, P(Y) = 4

Syndrome" (USA Today, September 29, 1999) makes the following statement: "Older women are at a greater risk of giving birth to a baby with Down Syndrome than are younger women. But younger women are more ertile, so most children with Down Syndrome are born to mothers under 30." et D = event that a randomly selected baby is born with Down Syndrome and Y = event that a randomly selected baby is born to a young mother under age 30). For each of the following probability statements, indicate whether the statement is consistent with the quote from the article, and if not, explain why not a. P(DIY) = .001, P(DIY) = .004. P(Y) = .7 b. P(DY) = .001, P(D|Y°) = .001. P(Y) = .7 c. P(DIY) = .004, P(D|Y°) = .004, P(Y) = .7 d. P(DY) = .001, P(D|Y°) = .001, P(Y) = A e. P(DIY) = .001, P(D|Y) = .001, P(Y) = 4 1. P(DIY) = .004, P(D|Y°) = .004, P(Y) = 4

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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The image presents a probability-based analysis related to an article titled "Folic Acid Might Reduce Risk of Down Syndrome" from USA Today, dated September 29, 1999. The article states, "Older women are at a greater risk of giving birth to a baby with Down Syndrome than are younger women. But younger women are more fertile, so most children with Down Syndrome are born to mothers under 30." Key points from the image include: - **Definitions:** - \( D \) is the event that a randomly selected baby is born with Down Syndrome. - \( Y \) is the event that a randomly selected baby is born to a young mother (under age 30). - **Task:** For each probability statement, indicate whether it is consistent with the article's quote, and if not, explain why. - **Probability Statements Evaluated:** 1. \( P(D|Y) = 0.001, \quad P(D|Y^c) = 0.004, \quad P(Y) = 0.7 \) 2. \( P(D|Y) = 0.004, \quad P(D|Y^c) = 0.001, \quad P(Y) = 0.7 \) 3. \( P(D|Y) = 0.001, \quad P(D|Y^c) = 0.004, \quad P(Y) = 0.4 \) 4. \( P(D|Y) = 0.004, \quad P(D|Y^c) = 0.001, \quad P(Y) = 0.4 \) 5. \( P(D|Y) = 0.001, \quad P(D|Y^c) = 0.004, \quad P(Y^c) = 0.7 \) 6. \( P(D|Y) = 0.004, \quad P(D|Y^c) = 0.001, \quad P(Y^c) = 0.7 \) The goal is to match these probabilities with the article's statement that older women have a greater risk, but most children with Down Syndrome are born to mothers under 30 due to higher fertility. **Diagrams/Graphs Explanation:** Although no visual diagrams or graphs are included, the image consists of mathematical expressions that
Transcribed Image Text:The image presents a probability-based analysis related to an article titled "Folic Acid Might Reduce Risk of Down Syndrome" from USA Today, dated September 29, 1999. The article states, "Older women are at a greater risk of giving birth to a baby with Down Syndrome than are younger women. But younger women are more fertile, so most children with Down Syndrome are born to mothers under 30." Key points from the image include: - **Definitions:** - \( D \) is the event that a randomly selected baby is born with Down Syndrome. - \( Y \) is the event that a randomly selected baby is born to a young mother (under age 30). - **Task:** For each probability statement, indicate whether it is consistent with the article's quote, and if not, explain why. - **Probability Statements Evaluated:** 1. \( P(D|Y) = 0.001, \quad P(D|Y^c) = 0.004, \quad P(Y) = 0.7 \) 2. \( P(D|Y) = 0.004, \quad P(D|Y^c) = 0.001, \quad P(Y) = 0.7 \) 3. \( P(D|Y) = 0.001, \quad P(D|Y^c) = 0.004, \quad P(Y) = 0.4 \) 4. \( P(D|Y) = 0.004, \quad P(D|Y^c) = 0.001, \quad P(Y) = 0.4 \) 5. \( P(D|Y) = 0.001, \quad P(D|Y^c) = 0.004, \quad P(Y^c) = 0.7 \) 6. \( P(D|Y) = 0.004, \quad P(D|Y^c) = 0.001, \quad P(Y^c) = 0.7 \) The goal is to match these probabilities with the article's statement that older women have a greater risk, but most children with Down Syndrome are born to mothers under 30 due to higher fertility. **Diagrams/Graphs Explanation:** Although no visual diagrams or graphs are included, the image consists of mathematical expressions that
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