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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?
Solving probability problems based on combinations
Solve equations and systems of equations in two variables, formulate real-world problems in terms of linear equations and solve these systems by several commonly applied methods.
FInd the probability that exactly 2 will be defective
What is the probability that one is green and the other is blue? A jar contains 8 red marbles, 9 blue marbles, and 6 green marbles
How far is Jared's school from the grocery store? Round the answer to the nearest tenth.
Suppose that the simultaneous equations F(x,y,z)=0 and G(x,y,z)=0 define x=f(z) and y=g(z) implicitly, Determine expressions for dx/dz and dy/dz in terms of partial derivatives of F and G
Discrete random variable with probability mass function, 1) Let X be a discrete random variable with probability mass function Pr{X=k}= c/(1+(k^2)) for k= -2,-1, 0, 1, 2.
Given f(x,y,z)=x^2y^3z^6, in what direction is F(x,y,z) increasing most rapidly at the point P(1,-1,1). What is the rate of increase?
Prove or disprove that the subgroup H is normal in the group G and what is the order of the factor group D8=Z(D8)?
The monthly incomes of trainees at a local mill are normally distributed with a mean of $1,100 and a standard deviation of $150. find the probability that a randomly selected employee earns less than $900 a month.
Prove the following vector calculus identity in R 3 , where f is a twice continuously di erentiable scalar eld and F is a twice continuously di erentiable vector fi eld
Let H be a random variable with probability p1 that has a Geometric distribution G1 Let Y be a random variable with probability p2 that has a Geometric distribution G2
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