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Marina CMI [18]
3 years ago
10

How much is x? Round it to the nearest tenth.

Mathematics
1 answer:
valkas [14]3 years ago
8 0

Answer:

The answer is 7.3

Step-by-step explanation:

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Let U1, ..., Un be i.i.d. Unif(0, 1), and X = max(U1, ..., Un). What is the PDF of X? What is EX? Hint: Find the CDF of X first,
Kryger [21]

Answer:

E(X)= n \int_{0}^1 x^n dx = n [\frac{1}{n+1}- \frac{0}{n+1}]=\frac{n}{n+1}

Step-by-step explanation:

A uniform distribution, "sometimes also known as a rectangular distribution, is a distribution that has constant probability".

We need to take in count that our random variable just take values between 0 and 1 since is uniform distribution (0,1). The maximum of the finite set of elements in (0,1) needs to be present in (0,1).

If we select a value x \in (0,1) we want this:

max(U_1, ....,U_n) \leq x

And we can express this like that:

u_i \leq x for each possible i

We assume that the random variable u_i are independent and P)U_i \leq x) =x from the definition of an uniform random variable between 0 and 1. So we can find the cumulative distribution like this:

P(X \leq x) = P(U_1 \leq 1, ...., U_n \leq x) \prod P(U_i \leq x) =\prod x = x^n

And then cumulative distribution would be expressed like this:

0, x \leq 0

x^n, x \in (0,1)

1, x \geq 1

For each value x\in (0,1) we can find the dendity function like this:

f_X (x) = \frac{d}{dx} F_X (x) = nx^{n-1}

So then we have the pdf defined, and given by:

f_X (x) = n x^{n-1} , x \in (0,1)  and 0 for other case

And now we can find the expected value for the random variable X like this:

E(X) =\int_{0}^1 s f_X (x) dx = \int_{0}^1 x n x^{n-1}

E(X)= n \int_{0}^1 x^n dx = n [\frac{1}{n+1}- \frac{0}{n+1}]=\frac{n}{n+1}

6 0
3 years ago
ANYONE PLZZZ THIS IS DUE IN AN HOUR. Will mark the brainliest
aleksley [76]

Answer:

0.96 in^3

Step-by-step explanation:

Are those the only three choices? Anyway, I hope this helps

6 0
3 years ago
What is the sum to this equation ?pl
SVEN [57.7K]
The answer is 15/10.
5 0
3 years ago
Read 2 more answers
P= 2(i+w) what is the solution for I?
Dafna11 [192]

First you had to switch sides of equation.

2(i+w)=p

Then you divide by two from both sides of equation form.

\frac{2(i+w)}{2}= \frac{p}{2}

Simplify.

i+w=\frac{p}{2}

Next, subtract by i from both sides of equation form.

i+w-i=\frac{p}{2}-i

Finally, simplify by equation.

w=\frac{p}{2}-i

Final answer: \boxed{w=p/2-i}

Hope this helps!

And thank you for posting your question at here on brainly, and have a great day.

-Charlie

8 0
4 years ago
Examples of spiral motion<br>​
natta225 [31]

Answer:Examples of Spiral Movement are:

Step-by-step explanation:

1)Cyclone

2)Spiral fern

8 0
3 years ago
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