Pretty sure the answer is 20
Hope this helps :)
<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: -3/2
Step-by-step explanation:
There are two methods to find the slope
METHOD 1. Rise/Run
Rise: the y-axis value
Run: the x-axis value
In the graph, rise/run=3/2
The line is going down, so it should be negative
-3/2
Hope this helps!! :)
Please let me know if you have any question or need further explanation
Step-by-step explanation:
"There are several flights that have very long delays."
True. On the boxplot, we can see several outliers greater than the maximum.
"More than 25% of flights are either exactly on time or arrive early."
False. According to the 5 number summary, 25% of the flights are between -55 and 13. So less than 25% of the flights are on time or early.
"About 50% of flights are delayed between 13 and 35 minutes."
False. According to the 5 number summary, 25% of the flight times are less than 13 minutes, and 50% of the flights are less than 35 minutes. So 25% of the flights are delayed between 13 and 35 minutes, not 50%.
"About 25% of flights are delayed by more than 78 minutes."
True. According to the 5 number summary, 75% of the flights are delayed less than 78 minutes. Which means 25% of the flights are delayed more than 78 minutes.
9514 1404 393
Answer:
10 ft
Step-by-step explanation:
The midsegment length is the average of the other two lengths.
(QR +PS)/2 = TU
QR +PS = 2×TU . . . . . . . . . . . . . . . multiply by 2
QR = 2×TU -PS = 2(14 ft) -18 ft . . . subtract PS; substitute given values
QR = 10 ft