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Thepotemich [5.8K]
3 years ago
6

Givin P(X)=0.35, P(Y)=0.45, and P(Y|X)=0.25, what are P(X and Y) and P(X or Y)

Mathematics
1 answer:
schepotkina [342]3 years ago
3 0

Answer:

P(Y|X)=\frac{P(Y\cap X)}{P(Y)} \\ P(Y\cap X) = P(Y)P(Y|X)  \\  = 0.45 \times 0.25 \\  \boxed{P(Y\cap X) =0.1125} \\ P(Y\cup X) = P(Y) + P( X) - P(Y\cap X) \\  = 0.45 + 0.35 - 0.1125 \\ \boxed{P(Y\cup X) =0.6875}

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Step-by-step explanation:

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<img src="https://tex.z-dn.net/?f=%5Cfrac%7B%3F%7D%7B5%7D%20%2A%20%5Cfrac%7B10%7D%7B8%7D%20%3D1.5%5C%5C" id="TexFormula1" title=
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Answer:

\boxed{\sf \huge \boxed{ \sf ?} = 6}

Step-by-step explanation:

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