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Let Y1 and Y2 have a bivariate normal distribution.
a) show that the marginal distribution of Y1 is normal with mean u1 and variance (o1)^2
b) what is the marginal distribution of Y2
triangle ABC has vertices A(0, 6), B(4, 6), and C(1, 3). Find the orthocenter of triangle ABC.
A machine produces widgets at a defective rate of 6%. A sample of 6 widgets is taken, What is the probability that less than 2 of them are defective?
How do you interpret the solution of a system of equations by the corresponding graph? Please provide example. What is the situation when two linear inequalities have no solution?
Odds of Hitting a Bankrupt on Wheel of Fortune. Assume that the Wheel of Fortune has 24 slots, each subtending 15 degrees. There are two bankrupt slots.
The probability distribution of the number of machines
A rope is wrapped around a pole so that a force of 75 lbs acts on one end and a force of 53 lbs acts on the other end. If the angle between the two forces is 114 degrees what is the resultant force?
Effectiveness of a disease management program
Given that f(x)=exp(-x), please show that its moment generating function is given by M(z)=1/(1-z), and show that the kth moment about the origin is k.
List all the binary relations on the set {0,1}. List the reflexive relations on the set {0,1}.
A specialty-freezer company has determined that the operating costs at one of its plants can be approximated by the function:
Evaluate whether the given sets of vectors form a basis or not.
To determine the number of deer in a game preserve, a person catches 479 deer, tags then and lets them loose. Later, 561 deer are caught; 187 of them are tagged. How many deer are in the preserve?
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