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ArbitrLikvidat [17]
3 years ago
7

We determined that f(y1, y2) = 6(1 − y2), 0 ≤ y1 ≤ y2 ≤ 1, 0, elsewhere is a valid joint probability density function. (a) Find

E(Y1|Y2 = y2). E(Y1|Y2 = y2) = (b) Use the answer derived in part (a) to find E(Y1). (Compare this with E(Y1) found using the marginal density function f1(y1) = 3(1 − y1)2.) E(Y1) =

Mathematics
1 answer:
Ber [7]3 years ago
3 0

Answer:

Check the explanation

Step-by-step explanation:

Kindly check the attached image below to see the step by step explanation to the question above.

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Each letter of the word "thunderstorm" has been written on a separate slip of paper and put into a box. Find the probability of
xxTIMURxx [149]

SOLUTION

From the question, we want to find the probability of selecting a slip of paper with the letter t on it, then selecting the letter r, with replacement.

This means the probability of selecting t and r.

That is

P(t)\times P(r)

There are 12 letters (total outcomes). And there are 2r and 2t.

So probability becomes

\begin{gathered} \frac{possible\text{ outcome}}{\text{total outcome }} \\ P(t)=\frac{2}{12} \\ P(r)=\frac{2}{12} \\ P(t)\times P(r)=\frac{2}{12}\times\frac{2}{12} \\ =\frac{1}{6}\times\frac{1}{6} \\ =\frac{1}{36} \end{gathered}

Hence the answer is

\frac{1}{36}

7 0
1 year ago
Which is an x-intercept of the graphed function?<br><br> (0, 4) <br> (–1, 0)<br> (4, 0)<br> (0, –1)
Alex Ar [27]

Answer:

I would need to see the graph

Step-by-step explanation:

To find the x-intercept you find the point which the line intercepts with the x-axis...... The x-axis is the one that runs side to side.

6 0
2 years ago
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Mai received a $70 gift card for a coffee store. She used it in buying coffee that cost $8.48 per pound. After buying the coffee
Yuri [45]
Since she had $35.48 on her card.

Amount spent in buying coffee = $70 - $35.48 = $34.52

Cost of coffee = $8.63 per pound

No of pounds = Amount spent / cost per pound

= 34.52 / 8.63 Use your calculator.

= 4
4 0
3 years ago
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What was done to the quadratic parent function F(x) = x2 to get the
zubka84 [21]

Answer:

Option C.

Step-by-step explanation:

If k<0, the function g(x) = f(x) + k represents the function f(x) shifted k units downwards.

In this case, given that k=-3 (k<0). The graph was shifted 3 units down. Therefore, the correct option is Option C.

5 0
3 years ago
Cody and his friends started playing a game at 6:30 p.M. It took them 37 minutes to finish the game. At what time did they finis
Charra [1.4K]

Answer:

7:07pm.

Step-by-step explanation:

There's no way to explain this you just need to know time.

7 0
3 years ago
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