A continuous random variable has the probability density function of f(x)=0.0118x and the interval of [0 13]. What is the expected value of the random variable to the power 2?
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A continuous random variable has the
probability density function
of f(x)=0.0118x and the interval of [0 13].
What is the expected value of the random
variable to the power 2?
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- Let the random variable X have the pdf f(x) Compute the probability that the random interval (X, 3X) includes the point x = the expected value of the length of the interval? = e-* for 0 < x < ∞, and 0 elsewhere. =3. What isLet X be the lifetime (measured in hours) of an electronic device. suppose thatX let X be a continuous random variable with pdf f(x) = k/x^n, 2000 ≤ x ≤ 10000(a) For n in general, find k. (1.5)(b) What is the probability that the device fails before 5000 hours have passed? Compare the resultsSuppose that X is a random variable with density and suppose that ?=e(-4X) Determine ?(?)
- If the random variable X has uniform distribution on the interval [0, a], what is the probabilitythat the random variable greater than its square, that is P (X > X^2)?Develop a random variate generator for a random variable X with the pdf if 0We have a random variable X that is uniformly distributed on interval [-1,2]. Let Y = |X| - 1. We want to find pdf using CDF technique. What is the support and pdf for the random variable Y? What would fy(-.2) be? What about Fy(-.2) be?The weekly demand for propane gas (in 100's of gallons) from a particular facility is a random variable X with pdf: f(x) = 2(1) for 1 ≤ x ≤ 2 Please find out the mean of X. 3/2-In(2) 3-2 In(2) 1/2-In(4) 3-In(2)let x be a random variable with moment generating function Mx(t)=(0.6 + 0.4e^t)^20 then the variance of x isA 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 continuous random variable with a pdf given by f(x) = (3x^2)/2 where x lies in the closed interval [-1,1]. Evaluate P(x>1/2). Select the correct response: 7/16 8/17 2/17 7/8Q2) The shelf life, in days, for bottles of a certain prescribed medicine is a random variable having the density function as shown below, Find the probability that a bottle of this medicine will have a shelf life of anywhere between 40 and 120 days 20000 0A random variable X follows the continuous uniform distribution with a lower bound of - 4 and an upper bound of 12 What is the height of the density function f(x)? What are the mean and standard deviation of this distribution?SEE MORE QUESTIONSRecommended textbooks for youCalculus For The Life SciencesCalculusISBN:9780321964038Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.Publisher:Pearson Addison Wesley,Calculus For The Life SciencesCalculusISBN:9780321964038Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.Publisher:Pearson Addison Wesley,