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, by translating the event x < x into an event involving .

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 we want this:

And we can express this like that:

for each possible i

We assume that the random variable are independent and from the definition of an uniform random variable between 0 and 1. So we can find the cumulative distribution like this:

And then cumulative distribution would be expressed like this:

For each value we can find the dendity function like this:

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

 and 0 for other case

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

i believe the correct answer is option 4.principalities were small territories that were run by russian rulers.

which statement correctly defines principalities in northern asia in the 1200s? principalities were small territories that were run by russian rulers.

hope i could ! : )

their is no graph showing

step-by-step explanation: