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Suppose X, Y and Z are random variables with joint density funciton f (x, y, z) = Ce^-(0.5x+0.2y+0.1z) if x>0, y>0, z>0 and f(x, y, z) = 0 otherwise.(a) Find the value of the constant C. (b) Find P (X<1, Y<1). (c) Find P (X<1, Y<1, Z<1).
Simple Probability, Sample Spaces, Events, A couple has three children, assume the likelihood of a boy is the same as a girl:
a fast food restaurant wants a special container to hold coffee. the restautrant wishes the container to quickly cool the coffee from 200 degrees to 130 degrees fahrenheit and keep the liquid between 110 degrees and 130 degrees as long as possible..
Describe how the graph is misleading. Explain how you would redraw the graph so that it depicts the information correctly.
A group of investors obtained a loan of $200,000 to buy a small business. The monthly mortgage payment was based on 25 years at 8%. Find the monthly mortgage payment. Use the Monthly Payment Table. Round to the nearest cent.
Use the binomial series to expand the function as a power series. Find the radius of convergence :
Figures that correspond under a translation, rotation, or reflection are said to be translation congruent, rotation congruent, or reflection congruent. Position two congruent figures on a piece of paper to satisfy
suppose a car sitting on a hydraulic left exerts a downward force of 1,750 N on a piston with an area of 0.6m squared. How much pressure does the car exert on the piston?
the perimeter of the basketball court is 114 meters. If the length is 6 more than 2 times the width, what is the width and length?
Explain Isomorphism of Two Groups, Let G = (Q, +) and let K = Z be the subgroup of integers
Suppose that we want to estimate the mean daily profit of a convenience store.
Which pair has equally likely outcomes? Check the two choices below which have equal probabilities of success. A standard deck of cards has 12 face cards and four Aces (Aces are not face cards).
Describe an example of a data set that cannot be represented by a tree, but that be represented by a more general graph. Explain why it cannot be represented by a tree.
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