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(1) The following table gives the joint probability distribution p (X, Y) of random variables X and Y.
Determine the following:
(a) Do the entries of the table satisfy the conditions for a bivariate density function?
(b) The marginal (or unconditional) probability distributions of X and Y. [Note: These will be a collection of probabilities: the probabilities associated with the 3 values of X and the probabilities associated with the 4 values of Y].
(c) The conditional probability distributions p (X|Y = 3) and p (Y|X = 1). (Note: The first conditional probability distribution is the collection of three numbers, Pr(X = 1jY = 3); Pr(X = 2|Y = 3); Pr(X = 3|Y = 3).)
Let D = 1 denotes the event that an adult male has a particular disease. In the population, it is known that the probability of having this disease is 20 percent, i.e., Pr (D = 1)
Two angles are complementary. The calculate of one angle is four times the measure of the other. Evaluate the measure of the larger angle. a. 36° b. 72° c. 144° d. 18°
3456+3694
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if there is a tie between two penalties then how to make allocations?
On 30 June 2012 Bill purchase a home by taking out a 30 year mortgage of $600,000 at 6% interest per annum, compounded months. Repayments are made at the end of each month. (a) Cal
In order to compute the inequalities of the form where n 1 , n 2 , ....... , n k , m 1 , m 2 , ....... , m p are natural and real numbers and a 1 , a 2 , ... , a k ,
What is the structure of produt promotion?
A spring has a natural length of 20 Centimeter. A 40 N force is needed to stretch and hold the spring to a length of 30 Centimeter. How much work is completed in stretching the spr
the value of square root of 200multiplied by square root of 5+
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