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Let X and Y have joint density fXY (x; y) = c(x + y)^2 for 0≤ x ≤1; 0≤y≤1.(a) Determine c.(b) Find the marginal distribution of X.(c) Find the conditional density fY|X(y|x).(d) Calculate the conditional expectation E(Y |X = x).
if the mass of 41 kg and height 1.28 m. radius of rotation is 0.78 m and Angular velocity is 0.27 rad/s. If r2 is 0.39 m. So what is angualr velocity?
Solving probability problems based on combinations
A piece of wire is 38 inches long. The wire is cut into two pieces and each is bent to form a square. Find the length of each piece if three times the area of the larger square exceeds the area of the smaller square by 95.75 square inches.
A final exam in Sociology has a mean of 72 and a standard deviation of 9.2. if 35 students are randomly selected, find the probability that the mean of their test scores will be greater than 76.
the probability of passing english 0.72 and the probability of passing statistics 0.81and the probability of passing both 0.68. what is the probability of pasinng at least one subject or none.
Explain Probability of birthdays. Are your best friends' birthdays dependent or independent events?
Probability : Drawing Cards and Sampling Without Replacement, 3 cards are drawn in succession from a regular straight deck of 52 playing cards. Find the probability that
An object is moving along the straight line as follows. It starts at x = 0 and then it moves to the right to x = 2. Then the object moves to the left to x = - 3
A number (a) is called a fixed point of a function (f) if f(a)=a. Prove that, if f'(x) does NOT equal 1 for all real numbers (x), then f has at most one fixed point.
The distance d between a fixed spring and the floor is a linear function of the weight w attached to the bottom of the spring. The bottom of the spring is 18 inches from the floor when the weight is 3 pounds and 10 inches from the floor when the w..
Suppose f and g are functions analytic in a domain D. If z_n is a bounded sequence of distinct points in D and if f(z_n) = g(z_n) for all n, show that f(z) = g(z) for all z in D.
find any absolute or local maximum and minimum values of f(x)=8-2x if x≥6.
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