A random variable X has density function (pdf). Find c a) Find the cumulative distribution function FX(x) (cdf) of X. b)Find E[X]. c)Find V ar[X].
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A random variable X has density
a) Find the cumulative distribution function FX(x) (cdf) of X.
b)Find E[X].
c)Find V ar[X].
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- Let X be a discrete random variable with probability density function: FUNCTION IS IN THE IMAGE Find C. Find P(X < 2). Find E(X). Find V(X).TThe joint probability density function of random variables X and Y is [xy 0sx<1, 0Suppose that X is a uniformly distributed random variable in [1,3] and Y= X3. Present the probability density function and cumulative density function of X Compute E(X) and Var(X) Present the probability density function and cumulative density function of YThe conditional probability density function of Y, given that X=x for some x>0, takes the following form: fyx=x(y) = C (x²-y²) x° e Ex, for -xLet X be a random variable with density functionf(x), with 0Let X be the proportion of new restaurants in a given year that make a profit during their first year of operation, and suppose that the density function for X is ƒ(x) = 20x³(1 − x) Find the expected value and variance for this random variable. E(X) = = Var(X) 0 ≤ x ≤ 1A continuous random variable X has density function f(x) = 1.5(1 – x²), 0 < x < 1. a) Calculate the expected value of X. b) Calculate the expected value of X?. c) Calculate the standard deviation of X. d) Calculate the expected value of Y = 4X + 5. e) Calculate the standard deviation of Y = 4X + 5.The probability density function (pdf) of continuous random variable X is as follows: x<0 0Let X be a continuous random variable with cdf F(x). Show that E(I(X < x)) = F(r) where I is the indicator function (1 if XRecommended textbooks for youA First Course in Probability (10th Edition)ProbabilityISBN:9780134753119Author:Sheldon RossPublisher:PEARSON
A First Course in Probability (10th Edition)ProbabilityISBN:9780134753119Author:Sheldon RossPublisher:PEARSON