Step-by-step explanation:
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At most, how many one sixth 1 6-inch-long pieces of string can you cut from a two thirds 2 3-inch-long piece of string?
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Answer:
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: