be a continuous Random variable with a pdf F(x) = (Kx +0.2, 3 ≤x≤5) {**** 0 let x Otherwise Calculate P(x≤4)
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- Assume that the probability that an airplane engine will fail during a torture test is 12and that the aircraft in question has 4 engines. Construct a sample space for the torture test. Use S for survive and F for fail.If a binomial experiment has probability p success, then the probability of failure is ____________________. The probability of getting exactly r successes in n trials of this experiment is C(_________, _________)p (1p)Let X be a continuous random variable with PDF 3 x > 1 x4 fx(x) = otherwise Find the mean and variance of x.
- Show that the mean μ, median m, and variance o2 of the continuous random variable X satisfy (μm)² ≤0².Let X be a continuous random variable with PDF 2x fx\=) = { otherwise Find the expected value of X.Suppose that Y is a uniform continuous random variable on the interval (1,11). Calculate the expected value of the random variable (Y− 1)². Use one decimal place accuracy.
- Find the variance of the random variable X with a PDF given by 3x2 S* if - 1< x< 1, f(x) = 2 otherwise. Submit your answer in fractional form.Let X1, X2, X3, X4 be a random sample from the distribution with PDF f(x) = e¯", x > 0. Calculate the probability that second largest of these random variables is less than 2.The owners manual of your new car states that each front tire should be filled to a pressure of 26psi. Suppose the air pressure in each tire is a random variable, with L-pressure in left front tire and R-pressure in right front tire. Suppose the joint pdf is given by f(1,r) = ( ) P +r); 20 <1< 30; 20Find the mean of the random variable X with PDF S 3x² _if 0M1A3(b)-MATH142-2_10222 X + webassign.net Each front tire on a particular type of vehicle is supposed to be filled to a pressure of 27 psi. Suppose the actual air pressure in each tire is a random variable, X for the right tire and y for the left tire, with joint pdf f(z,y) = {K (x² + y²) 20≤x≤ 30, 20 ≤ y ≤ 30 otherwise (a) What is the value of K? (Enter your answer as a fraction.) K= (b) What is the probability that both tires are underfilled? (Round your answer to four decimal places.) (c) What is the probability that the difference in air pressure between the two tires is at most 2 psi? (Round your answer to four decimal places.) (d) Determine the (marginal) distribution of air pressure in the right tire alone. for 20 < x < 30 (e) Are X and Y independent rv's? OYes, f(x,y) = fx(x) fy(y), so X and Y are independent. Ores, f(x,y) + fx(x) fy(y), so X and Y are independent. • ONO, f(x,y) = fx(x) fy(y), so X and Y are not independent. No, f(x,y) + fx(x) fy(y), so X and Y are not…Let X and Y be random variables having the same distribution. Show that Cov(X +Y, X – Y) = 0.SEE MORE QUESTIONSRecommended textbooks for youAlgebra & Trigonometry with Analytic GeometryAlgebraISBN:9781133382119Author:SwokowskiPublisher:Cengage
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