Suppose we have a random variable X that is uniformly distributed between a = 0 and...

Suppose we have a random variable X that is uniformly distributed between a = 0 and b = 100. What is σ X?

a. 0.913

b. 0.833

c. 50

d. 7.071

Expert Solution

Rahul Sunny answered 2 years ago

A random variable x is uniformly distributed between 20 and 52 . What is the expected...

A random variable x is uniformly distributed between 20 and 52 . What is the expected value of x?

Let random variable X be uniformly distributed in interval [0, T]. a) Find the nth moment...

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5. A continuous random variable X is uniformly distributed over (0,10). Compute the probability that an...

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Let X and Y be independent and uniformly distributed random variables on [0, 1]. Find the...

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Let X and Y be uniformly distributed independent random variables on [0, 1]. a) Compute the...

Let X and Y be uniformly distributed independent random variables on [0, 1]. a) Compute the expected value E(XY ). b) What is the probability density function fZ(z) of Z = XY ? Hint: First compute the cumulative distribution function FZ(z) = P(Z ≤ z) using a double integral, and then differentiate in z. c) Use your answer to b) to compute E(Z). Compare it with your answer to a).

Suppose that random variable X 0 = (X1, X2) is such that E[X 0 ] =...

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Suppose we have the following pdf for the random variable X f(x) ={x 0<=x<=1 c/x^2 1<=x<=...

Suppose we have the following pdf for the random variable X f(x) ={x 0<=x<=1 c/x^2 1<=x<= infinity 0 otherwise } (a) 2 points Find the value c such that f(x) is a valid pdf. (b) 3 points Find the cdf of X. (c) 1 point Find the 75th percentile of X.

Suppose voters are uniformly distributed along a continuum between 0 and 1. There are two candidates....

Suppose voters are uniformly distributed along a continuum between 0 and 1. There are two candidates. Voters will vote for the candidate who locates closes to them. Candidates only care about receiving more votes than the other candidate (and prefer a tie to losing).What is the rationalizable set of locations for each candidate?

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