A random variable X has the cumulative distribution function probability density function F(x) = e* on it support [0, z]. What is its expected value?
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F(x)=e* on it support [0, z]. What is its expected value?](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F5cafdb60-7d1d-4699-94a3-8fee7de7f9f5%2F86ce0bd4-75d5-47d5-9bc3-f0cbad14d17b%2Fk98z2pq_processed.jpeg&w=3840&q=75)
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- YOUR TURN 1 Repeat Example 1 for the probability density function f(t)=83x3 on [1,2]. EXAMPLE 1 Expected Value and Variance Find the expected value and variance of the random variable x with probability density function defined by f(x)=(3/26)x2on[1,3].The continuous random variable XX has a probability density function (pdf) given by Part(d) Find Var(X), correct to 2 decimal places Part(e) Find the median of X, correct to 2 decimal places.Part(f) Find E(X), correct to 2 decimal placesA random variable X has the probability density function f(x) = e* on What is its expected value? it support [0, z].
- Let X be a continuous random variable with range [1,3] and its probability density function is given by the following function: f(x)=c/(x^3) where c is a constant. (1) Find the value of c . Answer: (2) Find the expected value of X . Answer:A random variable X has the probability density function as f(x) = Ax(9-X2) 0 ≤ x ≤ 3 = 0 otherwise Find the value of A, the mean and the standard deviation of X.Let X be a random variable with probability density function f(x) = c(8x-x^2) if 0<x<8 otherwise f(x) = 0 What's c? Also, what's the cumulative distribution function of X on 0<x<8?