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Tom [10]
1 year ago
13

7 . Cans of frozen OJ Total Cost ($) 1.25 1 2 2.50 3 3.75 4 5.00

Mathematics
1 answer:
aliina [53]1 year ago
3 0
\begin{gathered} x=\text{cans of frozen OJ} \\ f(x)=\text{Total cost(\$)} \\ f(x)=1.25x \\ f(1)=1.25(1)=1.25 \\ f(2)=1.25(2)=2.50 \\ f(3)=1.25(3)=3.75 \\ f(4)=1.25(4)=5.00 \end{gathered}

Independent variable = x(Cans of frozen OJ)

dependent variable = y(total cost)

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Suppose that one person in 10,000 people has a rare genetic disease. There is an excellent test for the disease; 98.8% of the pe
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Let D^c be the event that a person don't have a disease

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P(D|A) = Probability that someone has a disease given that he tests positive.

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We are also given that  one person in 10,000 people has a rare genetic disease.

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P(D|A)=\frac{0.988 \times \frac{1}{10000}}{0.988 \times (1-\frac{1}{10000}))+0.004 \times (1-\frac{1}{10000})}

P(D|A)=\frac{2470}{2471}=0.9995

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P(A^c|D^c)=probability that a person tests negative given that he does not have disease =1-0.004

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P(A^c|D)=probability that a person tests negative given that he has a disease =1-0.988=0.012

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P(D^c|A^c)=\frac{0.996 \times (1-\frac{1}{10000})}{0.996 \times (1-\frac{1}{10000})+0.012 \times \frac{1}{1000}}

P(D^c|A^c)=0.99999

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