A continuous variable Y has a probability density function for which the moment generating function is given by M(t)=e^(2*t+72*t^2). What is the variance of the variable, Var[Y]?
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A continuous variable Y has a probability density
What is the variance of the variable, Var[Y]?
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- A continuous random variable X has a uniform distribution on the interval [-3, 3]. Sketch the graph of its density function.What is the expected value of a continuous random variable X with probability density function (pdf) given by f(x) = 2x, 0 < x < 1?suppose that f(y) = { 3y^2, 0<=y<=1 0, otherwise a) verify that f(y) is a valid probability density function.b) Determine the expected value of Yc) Determine the variance of Yd) Find the cumulative distribution function of Ye) Determine the probability that Y does not exceed 1/2
- and variance of X if the probability mass function is f(x) = ; ;)" , Find the moment generating function, mean x = 1, 2, 3, 4, ...Let X and Y be two random variables with joint probability mass function: p(x,y) = xy(1+y) for X=1,2,3 and Y=1,2 p(x,y) = 0, Otherwise. Please enter the answer to 2 decimal places. • What is the variance of (4-5X)?Find the expected value of the continuous random variable g(x)= x^2+3x+2, if the density function for random variable x are shown in the following equation. f() = [F(2x-1) 0Let X be a continuous random variable with range [−ln5,0] and its probability density function is given by the following function: f(x)=ce^−x, where cc is a constant. (1) Find the value of c . Answer: (2) Find the probability P(−ln2≤X≤0) . Answer:The total number of hours, in units of 100 hours, that a family runs a vacuum cleaner over a period of one year is a random variable X having the density function shown to the right. Find the variance of X (x-8). f(x)2-(X-8). 9sx< 10, 8The waiting line at a popular bakery shop can be quite long. Suppose that the waiting time in minutes has probability density function f(x) = 0.2 · e-0:2-* Calculate the mean and variance for the random variable: E(X) = i V(X) = iRecommended 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