A continuous random variable X is defined to have a uniform probability density function given as follows: f(x) = }b - --a for 1.0 sx < 1.5 elsewhere Show the PDF graph of this f(x). Question ?
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- Please helpLet 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 7/8and variance of X if the probability mass function is f(x) = ; ;)" , Find the moment generating function, mean x = 1, 2, 3, 4, ...
- 7a continuous random variable with probability density function given v f(x): de-/100 0. What is the probability that • (a) a computer will function between 50 and 150 hours before breaking down? (b) it will function for fewer than 100 hours?Q2\ Consider is a continuous random variable with probability density function given by: Find: 1- P(50Find 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) 0Determine the probability density function of the random variable X* if x 1 ON|30Let 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:A machine has a useful life of 4 to 9 years, and its life (in years) has a probability density function defined by f(x) = 1 1 Find the probability that the useful life of such a machine selected 15 at random will be longer than 7 years?The proportion of people who respond to a certain mail-order solicitation is a continuous random variable X that has the density function (2x + 4 0 < x<1 f(x) = - 0, 5 elswhere Find the stàndard deviation of above stated continuous random variable (X)Recommended textbooks for youMATLAB: An Introduction with ApplicationsStatisticsISBN:9781119256830Author:Amos GilatPublisher:John Wiley & Sons Inc
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