Mathematics: Given p(x) = 0.6, p(y) = 0.3, and p(y|x) = 0.05, what are p(x and y) and p(x or y)? group of answer choices a. p(x and y) = 0.03, p(x or y) = 0.87 b. p(x and y) = 0.03, p(x or y) = 0.35 c. p(x and y) = 0.9, p(x or y) = 0.87 d. p(x and y) = 0.9, p(x or y) = 0.35 it i d appreciate it alot

Given p(x) = 0.6, p(y) = 0.3, and p(y|x) = 0.05,

MadBrain

13.01.2022

$P(X\cap Y)=0.03\\ \\P(X\cup Y)=0.87$

Step-by-step explanation:

1. Use formula

$P(Y|X)=\dfrac{P(X\cap Y)}{P(X)}$

So,

$0.05=\dfrac{P(X\cap Y)}{0.6}\Rightarrow P(X\cap Y)=0.05\cdot 0.6=0.03$

2. Use formula:

$P(X\cup Y)=P(X)+P(Y)-P(X\cap Y)$

So,

$P(X\cup Y)=0.6+0.3-0.03=0.9-0.03=0.87$

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harvzoie

15.02.2021

You have to solve the problems, and figure out which two have the same answers/match. -1/4+(-5/3), is the equivalent expression.

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