The joint probability density of X and Y is f(x, y). Find the marginal density of Y at 0.7. The answer should be given to 2 decimal places. h(0.7) = f(x, y)= { 0 S 2(x + y) 0
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- Use the table of values you made in part 4 of the example to find the limiting value of the average rate of change in velocity.Does a Limiting Value Occur? A rocket ship is flying away from Earth at a constant velocity, and it continues on its course indefinitely. Let D(t) denote its distance from Earth after t years of travel. Do you expect that D has a limiting value?bThe average rate of change of the linear function f(x)=3x+5 between any two points is ________.
- Find the mean, standard deviation and the median of the density function: f(x)= (6/343)x(7-x) [0,7]7. Assume that X and Y have joint probability density function given by (2x + 3y) if 0< x<1 and 0QI Since h(t) = 1+t 1>0 i. The survival function is given by? ii. Probability density function is given by iii. The mean time to failure(MTTF) of the component is given by3. The random variable a represents the annual rainfall depth in El Paso in inches. Be- tween values of r = 0 and r = 15, the probability density function has the equation 1 f(x) = 15 0Let X be exponentially distributed with parameter λ. Calculate the probability density of Y =(X−3)/(X+1). please provide some explanation with the taken steps, thank you in advance.Passenger congestion is a service problem in airports. Trains are installed within the airport to reduce the congestion. With the use of the train, the time X that it takes in minutes to travel from the main terminal to a particular concourse has density function given here. Find the probability that the time it takes a passenger to travel from the main terminal to the concourse will not exceed 7 minutes. f(x) = ( 1/10 , 0<=X<=10 ) otherwiseSEE MORE QUESTIONSRecommended textbooks for youFunctions and Change: A Modeling Approach to Coll…AlgebraISBN:9781337111348Author:Bruce Crauder, Benny Evans, Alan NoellPublisher:Cengage LearningAlgebra & Trigonometry with Analytic GeometryAlgebraISBN:9781133382119Author:SwokowskiPublisher:CengageAlgebra and Trigonometry (MindTap Course List)AlgebraISBN:9781305071742Author:James Stewart, Lothar Redlin, Saleem WatsonPublisher:Cengage LearningFunctions and Change: A Modeling Approach to Coll…AlgebraISBN:9781337111348Author:Bruce Crauder, Benny Evans, Alan NoellPublisher:Cengage LearningAlgebra & Trigonometry with Analytic GeometryAlgebraISBN:9781133382119Author:SwokowskiPublisher:CengageAlgebra and Trigonometry (MindTap Course List)AlgebraISBN:9781305071742Author:James Stewart, Lothar Redlin, Saleem WatsonPublisher:Cengage Learning