The test function gx(x) given in the following figure: 8x(1)| a 0 FO-A Xo Fo+a Find the conditions to prove that it is the valid density function.
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- Plant Growth Researchers have found that the probability P that a plant will grow to radius R can be described by the differential equation dPdR=4DRP2 where D is the density of the plants in an area. Source: Ecology. Given the initial condition P(0)=1, find a formula for P in term of R.Assume x and y are functions of t. Evaluate dydtfor each of the following. y28x3=55; dxdt=4,x=2,y=3Suppose fz(z) is a function given by So(23 – 2) if -z<0 | fz(2) = otherwise for a fixed constant c. Can fz(z) be a density function? Explain.
- I Example 7-11. Find the density function f (x) corresponding to the characteristic function defined as follows : (1-1t1,1tls1 O (t) 10, 1tl>1 %3DSnow depth (S) accumulated in February on a particular ski-resort is a random variable with following density function: f.(s) = c(4- (2-s)²) for 0QUESTION 12 If the joint density of X1 and X2 is given by 3. X1 (x2- x1) for 0Recommended textbooks for youCalculus For The Life SciencesCalculusISBN:9780321964038Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.Publisher:Pearson Addison Wesley,Algebra & Trigonometry with Analytic GeometryAlgebraISBN:9781133382119Author:SwokowskiPublisher:CengageCalculus For The Life SciencesCalculusISBN:9780321964038Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.Publisher:Pearson Addison Wesley,Algebra & Trigonometry with Analytic GeometryAlgebraISBN:9781133382119Author:SwokowskiPublisher:Cengage