6.36. The newspaper article "Folic Acid Might Reduce Risk of Down 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 fertile, so most children with Down Syndrome are bom to mothers under 30." Let 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(D|Y) = .001, P(D]Y°) = .004, P(Y) =.7 b. P(D|Y) = .001, P(D]Y°) = .001, P(Y) =.7 c. P(D|Y) = .004, P(D\Y°) = .004, P(Y) =.7 d. P(D|Y) = .001, P(D]Y©) = .001, P(Y) = 4 e. P(D|Y) = .001, P(D|Y°) = .001, P(Y) = 4 f. P(D|Y) = .004, P(D]Y©) = .004, P(Y) =4

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6.36. The newspaper article "Folic Acid Might Reduce Risk of Down
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
fertile, so most children with Down Syndrome are bom to mothers under 30."
Let 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(D|Y) = .001, P(D|YC) = .004, P(Y) = .7
b. P(D|Y) = .001, P(D|YC) = .001, P(Y) = .7
c. P(D|Y) = .004, P(D|Y©) = .004, P(Y) = .7
d. P(D|Y) = .001, P(D|YC) = .001, P(Y) = 4
e. P(D|Y) = .001, P(D|Y°) = .001, P(Y) = 4
%3D
f. P(D|Y) = .004, P(D]YC) = .004, P(Y) = 4
Transcribed Image Text:6.36. The newspaper article "Folic Acid Might Reduce Risk of Down 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 fertile, so most children with Down Syndrome are bom to mothers under 30." Let 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(D|Y) = .001, P(D|YC) = .004, P(Y) = .7 b. P(D|Y) = .001, P(D|YC) = .001, P(Y) = .7 c. P(D|Y) = .004, P(D|Y©) = .004, P(Y) = .7 d. P(D|Y) = .001, P(D|YC) = .001, P(Y) = 4 e. P(D|Y) = .001, P(D|Y°) = .001, P(Y) = 4 %3D f. P(D|Y) = .004, P(D]YC) = .004, P(Y) = 4
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