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if x and y are two random variables with joint density function f(x,y)=4xy and =0 otherwise. find P(x> or = 1/2,y< or=1/2) and find the expected values of X and Y.
A factory produces fuses, which are packaged in boxes of 18. Six fuses are selected at random from each box for inspection. The box is rejected if at least one of these six fuses is defective. What is the probability that a box containing nine def..
A consumer is trying to decide between two long-distance calling plans. The first charges a flat rate of 10¢ ($0.10) per minute,
the measures of three of the angles of a quadrilateral are 67 degrees 112 degrees and 55 degrees. what is the measure of the fourth angle?
Let S represent the student s score of the final exam. Provide a symbolic rule for the students final percentage score.?
Obtain the matrix scatterplot (Graph Matrix plot) for all the continuous variables. Also, compute all pairwise correlations. Which variables seem to be related? Do the correlation values fully reect the extent of relationship between the variables..
A non-linear spring obeys the modified Hooke's Law: F=-kxex, Where F is force in newtons, k is 2(N/m), and x is horizontal displacement if the right end of the spring in meters measured from the origin. What is the work done in stretching this spr..
Many musical composers have used mathematics in their compositions. Some artists have created artworks that use or reflect mathematical principles. Research one such composer or artist, and write an essay discussing the role of mathematics in the c..
Calculate the MRS, then calculate MRS for the product combination (x,y)= (1,1). Calculate the implicit derivative first then the value for the given point.
an experiment consists of 4 tosses of a coin.denoting the outcomes HHTH,THTT,and assuming that all 16 outcomes are equally likely, find the probability distribution for the total number of heads.
If we have 2 groups with 5 characteristics each, what would our critical value be with an alpha of .05?
Solve the following linear system using Gaussian elimination. Solve the following linear system using Gaussian elimination.
The sales representative here tells you they also have two floor plans available, but they only have 38 homes still for sale. Write an equation that illustrates the situation. Use x and y to denote floor plan one and floor plan two respectively.
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