The probability density function of the random variable X is given by: Sce-2x 0 f(x)= = for x > 0 otherwise. For what value of c is this a legit density function? Find the value for c, then calculate P(X > 2).
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- The table below shows a probability density function for a discrete random variable X. What is the probability that X is 2? P(X = x) 1/12 1 5/12 2 1/12 3. 1/6 1/6 1/12Tried this question out but no luck .The proportion of people who respond to a certain mail-order solicitation is a random variable X having the following density function. f(x) = 2(x + 3) 7 0, 2 Find the variance of X. 0The pdf of a random variable X is given by: f(x)=e¹ for x > 0 Please find P(x > 1). 0.6321 0.9816 0.3678 0.9502Let μx and of be the expectation and variance of a forecast model F for an observations y, and let pÃ(.) denote the probability density function for the forecast model. Also let G be a different forecast model. Which of the following statements are true? a. Two forecast scores S(F, y) and S(G, y) are independent. b. The square error (y – µµ)² is a proper score. C. The score (y - μF) ²/0 is proper score that improves in the squared error score by taking the variance into account. d. The logarithmic score – log[pf(y)] is a strictly proper score. -1 Given the probability density function f(x) = 4 over the interval [1, 5], find the expected value, the mean, the variance and the standard deviation. Expected value: Мean: Variance: Standard Deviation:The proportion of people who respond to a certain mail-order solicitation is a random variable X having the following density function. 2(x+2) 5 0A discrete random variable has a probability mass function p(x) given in the table below: x -2 -1.5 1.3 4 p(x) 0.15 0.3 0.15 α Find the value of α. α=Let X and Y be independent random variables with the distributions X ∼ Geometric(p = 1/3)and Y ∼ Geometric(p = 2/3). Find Pr[X = Y].Suppose that a random variable X has the following probability density function. SC (64-x²) 0 ≤ x ≤ 8 otherwise f(x) = {C Find the expected value of X. (You will need to find the value of the constant C so that f is a pdf.)The table below represents the probability density function for the random variable X. Find the standard deviation of X. Round the final answer to two decimal places. x P(X = x) 1 1/4 3 1/4 4 1/2Continuous random variables 6. A charity group raises funds by collecting waste paper. A skip-full will contain an amount, X of other materials such as plastic bags and rubber bands. X may be regarded as a random varibales with probability density funnction. All nmerical values are in units of 100kg. Find the Expected value and Standard deviation.Express your answer in 3 decimal place value f(x)= - c(x-1)(4-x) 0 for 1SEE MORE QUESTIONSRecommended textbooks for youAdvanced Engineering MathematicsAdvanced MathISBN:9780470458365Author:Erwin KreyszigPublisher:Wiley, John & Sons, Incorporated
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