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lions [1.4K]
3 years ago
13

Suppose that E and F are two events and that P(E)=0.2 and P(F|E)=0.5 What is P(E and F)​?

Mathematics
1 answer:
Tresset [83]3 years ago
6 0

By definition of conditional probability,

P(<em>F</em> | <em>E</em> ) = P(<em>F</em> and <em>E</em> ) / P(<em>E</em> )

Then

P(<em>F</em> and <em>E </em>) = P(<em>F</em> | <em>E</em> ) P(<em>E </em>) = 0.5 • 0.2 = 0.1

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So we essentially are given two coordinates: (6,87) and (21,222). To find an equation, we simply need to find the slope and y-intercept. We know it's a linear equation because it's a steady stream, meaning a constant slope.

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