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Sagot :

MrRoyalidn

Answer:

[tex]P(Ice Cream|Frogtown) = 67.4\%[/tex]

Step-by-step explanation:

Given

The attached plot

Required

P(Ice Cream|Frogtown)

This is calculated as:

[tex]P(Ice Cream|Frogtown) = \frac{P(Ice\ Cream\ n\ Frogtown)}{P(Frogtown)}[/tex]

From the attachment;

[tex]P(Ice\ Cream\ n\ Frogtown) = 0.31[/tex]

[tex]P(Frogtown) = 0.31 + 0.15 = 0.46[/tex]

So, we have:

[tex]P(Ice Cream|Frogtown) = \frac{P(Ice\ Cream\ n\ Frogtown)}{P(Frogtown)}[/tex]

[tex]P(Ice Cream|Frogtown) = \frac{0.31}{0.46}[/tex]

[tex]P(Ice Cream|Frogtown) = 0.6739[/tex]

Express as percentage

[tex]P(Ice Cream|Frogtown) = 0.6739 * 100\%[/tex]

[tex]P(Ice Cream|Frogtown) = 67.39\%[/tex]

[tex]P(Ice Cream|Frogtown) = 67.4\%[/tex] -- approximated

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