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There are 5 cards numbered 1 to 5 , one number on one card. Two cards drawn at random without replacement. Let X denote the sum of the number on two cards drawn. Find the mean and variance of X.
Evaluate
Write a unit vector perpendicular to both the vectors and
solve by logarithmic differentiation.
Find the area of the region bounded by x^2=4y, y=2, y=4 and the y-axis in the first quadrant.
Find all the points of discontinuity of f, where f is defined by f(x)=
In a dice game, a player pays a stake of Re.1 for each throw of a die. She receives Rs.5 if the die shows a 3 , Rs.2 if the die shows a 1 or 6 and nothing otherwise. What is the player’s expected profit per throw over a long series of throws?
Maximize Z=3x+2y+7 Subject to the constraints: x+y<9, x>0 , y>0.
If, then find the value of y
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