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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- A continuous random variable has theprobability density functionof f(x)=0.0118x and the interval of [0 13].What is the expected value of the randomvariable to the power 2?The life lengths of two transistors in an electronic circuit is a random vector (X; Y ) where X is the life length of transistor 1 and Y is the life length of transistor 2. The joint probability density function of (X; Y ) is given by ´2e-(x+2) x 2 0, y 20 fx,y(x,y)=| else Then the probability that the first transistor burned during half hour given that the second one lasts at least half hour equals Select one: a. 0.3935 b. 0.606 c. 0.7772 d. 0.3669 e. 0.6318The random variable X has probability density function defined by |2(1 – z²),0Suppose that the continuous random variable X has cumulative distribution function given by F(x)= 0, if x < sqrt(2); x2-2, if sqrt(2) <= x <= sqrt(3); 1, if sqrt(3) <= x Find the probability density function of X.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]?A probability density function of a random variable is given by f(x) = expected value, the variance, and the standard deviation. The expected value is μ≈ Round to two decimal places as needed.) 1 1 = 5+ 111 on the interval [4, 25]. Find theFind the characteristic function for a random variable with density function fx (x) = x for 0Let S be a continuous random variable representing the students' study time (in hours) for their Statistics final paper. The probability density function is given by: = {(2 + + 5 4s 15 f(s) = i) Calculate the expected value of S. ii) Calculate the variance of S. iii) Determine E (1145 - 7S - 6S²). ,1 ≤s≤4 , otherwise2. What is the cumulative distribution function of X?The daily consumption of natural gas in liters of a particular building is a random variable x with probability density function X 1≤x≤2 k(1-1/2) f(x) = - { *( 0 elsewhere a) calculates the appropriate value of K so that the distribution is probabilistic density b) calculate the expected value c) calculate the standard deviationA random variable X has the following probability density function k, 0I need the answer as soon as possibleSEE MORE QUESTIONSRecommended textbooks for youMATLAB: An Introduction with ApplicationsStatisticsISBN:9781119256830Author:Amos GilatPublisher:John Wiley & Sons Inc
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