6.Suppose that the joint p.m. f. of X and Y is X- 00 Yə -1- 09 10 Determine: (1)-The value of a; 0.05 0.1- 10 0.1- 0.2 0.2- 20 0.1- 0.1- 0.05-
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- A company's cash position (measured in millions of dollars) follows a generalized Wiener process growing onaverage 0.2 m per quarter with volatility of 0.1m per quarter. How high must the initial cash balance be for theprobability of a negative balance after 2.00 years not to exceed 5%?find the value of x which gives the critical point.You are performing a right-tailed test.If α=.001α=.001, find the critical value, to four decimal places.zα=? You are performing a two-tailed test.If α=.005α=.005, find the positive critical value, to four decimal places.zα/2= ?
- Identify the equation of the normal line of the funtion f(x) = -3x at x=2What is/are the critical value/s?Let y1,y2,...,y10 be a random sample from an exponential pdf with unknown parameter λ. Find the form of the Generalized Likelihood Ratio Test for H0: λ = λ0 versus H1: λ doesn't equal λ0. What integral would have to be evaluated to determine the critical value if α were equal to 0.05?
- calculate....along the curve curve in the first octant given by x^2 + y^2 + z2 = 4, (x − 1)2 + y^2 = 1.An industrial product is packaged in batches of units each. The number ofdefective units within each batch is unknown. Since checking whether aunit is defective or not is expensive, the quality control consists in selectingunits of the batch and obtaining an estimation of the number of defectiveunits within the batch. The batch is rejected if the estimated number ofdefective units exceeds . a. Find the moment estimator of the number of defective units within aparcel.b. If N=20, n=5, and among these units 2 of them are defective, is thebatch rejected?Suppost you had a PDF wherein fx(x)=xe^x for 0<x<1, and 0 otherwise. How do you dint the Moment generating fucntion and the expected value of x?
- square plate is bounded by lines x 0, y 0, x 20, y 20 , its faces are insulated. The temperature along the edge y 20 is given by f (x) kx(10 x) and other three edges are kept at C 0 0 .Determine the temperature at any point of the plate in the steady-state.Find both first partial derivatives. z = exyShow that for the given function, the value of the mixed partial derivatives at point (0,0) depends on the derivative sequence.
