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Relate Type l and Type ll errors to your life in terms of making decisions.What were the consequences of your errors?



Why should we minimize Type l errors in our decision making?

State one major difficulties students are likely to encounter in understanding inverse mapping

Show that the centre of all sections of the sphere x² + y ² +z² = r² by the planes through a point (a,b,c) lie on the sphere x(x-a)+y(y-b)+z(z-c)=0

Find the centres of the spheres. which touch at the the plane 4x+3y=47 at the point (8,5,4) and which touch the Sphere x² + y ² +z² = 1

Write one application and Reasoning test item based on topic 'Inverse mapping'.


Create a set that is presented in a set builder notation form.

Let the function , defined by


f(x)= 1/x+3 ; x∈ [3,∞[



Check whether f is uniformly continuous or not on the interval of definition

On the day before an exam in an online class, students e-mailed questions to the professor at a rate of 1 every 20 minutes, exponentially distributed. Determine the probability that the interval between succeeding messages is more than an hour.


QUESTION 22


Consider the bivariate distribution of X and Y as given in the following table.


X


Y 0 1 2


0 0:04 0:05 0:18


1 0:12 0:08 0:14


2 0:13 0:09 0:17


(a) Calculate the marginal probability of X. (3)


(b) Calculate the marginal probability of Y . (3)


(c) Calculate the mean and the variance of X. (7)


(d) Calculate the mean and the variance of Y .

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