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You have just graduated from LUMS with a very respectable CGPA and are now applying for jobs. Suppose you have 10 copies of your CV, each customized for a particular job description, and 10 envelopes addressed to prospective employers according to the said job description (e.g. your customized CV for application to the Nestle MT program must be placed in the envelope addressed to Nestle HR and your CV for the Unilever MT program must be placed in the envelope addressed to Unilever Pakistan). Assume you randomly place each CV in an envelope without reading the address on it.
a) What is the probability that the any one CV is placed in the correct envelope? Any two? Any three?b) What is the probability that all are placed in the correct envelope?c) What is the probability that none are placed in the correct envelope?d) What is the probability that exactly 6 are placed in the correct envelope?
The Marginal profit function.
Prove the the center of gravity of a lamina in the shape of a parallelogram is at the point of intersection of the diagonals and that it is the same point as the center of gravity of four particles two of mass m at one pair of opposite vertices an..
What are the odds that a randomly selected number between 1 and 100 will not have a digit 7?
The mean tuition cost at university though the United State is 4260 per year. Use this value as the population mean and assume that population standard deviation is USD 900. Assume that random sample of so university will be selected. What is the pro..
You are given a list of n names (all of the names are distinct) with instructions to put them in alphabetical order. How many comparisons are necessary to accomplish your task?
Evaluate double integral: (int from 0 to 1). (int from 0 to cos inverse y). [square root (1 + sin x) dx dy.
Suppose we are producing copper wire and putting the wire on spools. Each spool contains 100 feet of wire. Defects such as nicks in the wire can occur at random locations. What would be a reasonble distribution for each of the following: (a) the n..
A force of 5 Newtons acts in the direction of a = -7i+3j+4k, moving a particle from point B(1, 7, 1) to point C(-7, 5,-2). What is the work done on the particle given that the displacement is measured in meters?
A plane is heading due south with an airspeed of 237 mph. A wind from a direction of 50 degrees is blowing at 12 mph. Find the bearing of the plane.
For the metric space { N }, the set of all natural numbers, characterize whether or not it has the following properties: compact, totally bounded, has the Heine-Borel property, complete.
Let D be the linear differential operator defined on the vector space V of infinitely differentiable functions f: R-->R by D(f)=F
Determine algebraically whether the given function is even, odd, or neither.
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