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pogonyaev
2 years ago
15

Please I need help with this

Mathematics
1 answer:
Vera_Pavlovna [14]2 years ago
6 0

Step-by-step explanation:

The x are the values that you have been given

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I need help please.
exis [7]
Pretty sure the answer is 20
Hope this helps :)
3 0
3 years ago
Read 2 more answers
Let Y1 and Y2 be independent exponentially distributed random variables, each with mean 7. Find P(Y1 > Y2 | Y1 < 2Y2). (En
ArbitrLikvidat [17]

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

f_{Y_1,Y_2}(y_1,y_2)=f_{Y_1}(y_1)f_{Y_2}(y_2)=\begin{cases}\frac1{49}e^{-\frac{y_1+y_2}7}&\text{for }y_1\ge0,y_2\ge0\\0&\text{otherwise}\end{cases}

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:

P((Y_1>Y_2)\text{ and }(Y_1

=\displaystyle\frac1{49}\int_0^\infty\int_{\frac{y_1}2}^{y_1}e^{-\frac{y_1+y_2}7}\,\mathrm dy_2\,\mathrm dy_1

=\displaystyle-\frac17\int_0^\infty\int_{-\frac{3y_1}{14}}^{-\frac{2y_1}7}e^u\,\mathrm du\,\mathrm dy_1

=\displaystyle-\frac17\int_0^\infty\left(e^{-\frac{2y_1}7} - e^{-\frac{3y_1}{14}}\right)\,\mathrm dy_1

=\displaystyle-\frac17\left(-\frac72e^{-\frac{2y_1}7} + \frac{14}3 e^{-\frac{3y_1}{14}}\right)\bigg|_0^\infty

=\displaystyle-\frac17\left(\frac72 - \frac{14}3\right)=\frac16

• denominator:

P(Y_1

(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

5 0
2 years ago
PLSSSS HELLLPPP WILL GIVE BRAINLIESTTT!!!!!!!!!
Lerok [7]

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

5 0
3 years ago
How do you do these 4 questions and the reasons?
Afina-wow [57]

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.

4 0
3 years ago
Please help me on this
AlekseyPX

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

8 0
3 years ago
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