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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).)
Proof of Constant Times a Function: (cf(x))′ = cf ′(x) It is very easy property to prove using the definition given you a recall, we can factor a constant out of a limit. No
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how to do fraction?
Q. How to Convert Decimals to Percentages? Ans. Remember that when you have a decimal number, the digits to the right of the decimal point have the following meaning:
Kyra receives a 5% commission on every car she sells. She received a $1,325 commission on the last car she sold. What was the cost of the car? Use the proportion part/whole =
Explain the Dependent Events? Events are called dependent events when the outcome of one event influences the outcome of the second event. P(A and B) = P(A) P(B following A
- Find the total surface area of a frustum of a cone. (Include top and bottom). The equation that I have for volume is v=1/3 pi x h(r^2+rR+R^2) -the equation that I have found fo
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Consider the following linear programming problem: Min (12x 1 +18x 2 ) X 1 + 2x 2 ≤ 40 X 1 ≤ 50 X 1 + X 2 = 40 X
In this section we will be looking exclusively at linear second order differential equations. The most common linear second order differential equation is in the type. p (t ) y
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