<em>Y</em>₁ and <em>Y</em>₂ are independent, so their joint density is

By definition of conditional probability,
P(<em>Y</em>₁ > <em>Y</em>₂ | <em>Y</em>₁ < 2 <em>Y</em>₂) = P((<em>Y</em>₁ > <em>Y</em>₂) and (<em>Y</em>₁ < 2 <em>Y</em>₂)) / P(<em>Y</em>₁ < 2 <em>Y</em>₂)
Use the joint density to compute the component probabilities:
• numerator:






• denominator:

(I leave the details of the second integral to you)
Then you should end up with
P(<em>Y</em>₁ > <em>Y</em>₂ | <em>Y</em>₁ < 2 <em>Y</em>₂) = (1/6) / (2/3) = 1/4
Answer:
Slope=3/4
Step-by-step explanation:
1) Label all values with x1 y1, x2 y2
Then, plug jn each value into this equation:y2-y1/x2-x1
Remember that negative values will become positive when dealjng with a subtraction sign.
5-(-1)=5+1.
---------------= 6/8
6-(-2)=6+2
After getting 6/8, simplify by the gcf (2) to get 3/4
Answer:3/4
Answer:
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Step-by-step explanation:
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Answer:
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Step-by-step explanation:
It implies that Douglass and his siblings nearly forgot about their early lives.