Suppose f(x) is pdf and is the mean of the random variable, then |(x – 4° f (x) dx = / x²f (x) dx – µ² - O True O False
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- Prove that the variance of b, V(b) = o²(X'X)−¹222A gasoline station gets its supply once a week. Suppose the PDF of X = demand in thousands of gallons for gasoline is: fx(x) = 5(1 – x)*I(0.1)(x) a. What is the probability that the demand for gasoline in a given week is more than 500 gallons? b. How much gasoline must the station get from its supplier in order for the probability that its supply will be exhausted in a given week shall be 0.01?
- Let X be a continuous random variable with PDF 3 x > 1 x4 fx(x) = otherwise Find the mean and variance of x.The CDF F(x) of a random variable X is given by;F(x) = { 0 , ?? ? ≤ 1 ? (? − 1)^4 , ?? 1 < ? ≤ 3 1 , ?? ? > 3} find PDF f(x) (ii) ?(|?| < 1.5), (iii) the mean and variance of X.Find the mean of random variable of X, if X is random variable with pdf f(x) = c(1-x²), -1If X has an exponential distribution, show thatP[(X Ú t + T)|(x ÚT)] = P(X Ú t)The pdf of random variable X is given as ƒx(x) = Find the i) Mean ii) Mean of the square [0.3507√x 0The p.d.f. of a random variable X' is as shown in the figure. The pdf is zero for X 5. Calculate (i) the maximum value of p.d.f. (ii) expectation of X, E(X) (iii) variance of X. fx (x) kSEE MORE QUESTIONSRecommended textbooks for youMATLAB: An Introduction with ApplicationsStatisticsISBN:9781119256830Author:Amos GilatPublisher:John Wiley & Sons Inc
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