Questions
The weighted mean of first n natural numbers whose weights are equal to the number of selections out of n natural numbers of corresponding numbers, is
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Correct option is A
The required meanx¯=1⋅nC1+2⋅nC2+3⋅nC3+…+n⋅nCn nC1+nC2+…+nCn=∑r=0n r⋅nCr∑r=1n nCr=∑r=1n r⋅nrn−1Cr−1∑r=1n nCr=n⋅2n−12n−1Similar Questions
An automobile driver travels from a plain to a hill station 120 km away at an average speed of 30 km per hour. He then makes the return trip at an average speed of 25 km per hour. He covers another 120 km on the plain at an average speed of 50 km per hour. His average speed (in km/hr) over the entire distance of 360 km will be
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