<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:
n=-6
Step-by-step explanation:
distribute -7 into (4n+8)
-10n+50=-28n-56-2
combine like terms
-10n+50=-28n-58
add -28n on both sides
-10n+28n+50=-58
combine like terms again
18n+50=-58
subtract 50 on both sides
18n=-108
divide both sides by 18
x=-6
hope this helps
Now
Now
Probability of not selecting gray =12/14
Now
But pink is in 5
12÷4=3 and 36÷12=3
so the ratio is same
therefore it is a geometry sequence
=108
The data for resort A shows more consistency because a larger interquartile range such as the one for resort B, shows more variation. This means that the snowfall for resort A is more likely to be close to the median.
Just did this on edg. :)