106didnt get ur hints
Q. If m=np and p+q=1, then \lim_{n\rightarrow \infty } \; ^{n}C_{r}q^{n-r}p^{r} is equal to
(a) e-mmr/r!
(b) e-m(m/1)*(m/2)*...(m/r)*(1/r+1)
(c) (m/1)(m/2)...(m/r)(1/em)
(d) e-mmr/(r+1)!
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6 Answers
62This one has a flavour of probability satatistics...
and the question comes from there :D
Think of which of the sums a, b, c and d will be one? (over all values of r from 0 to infinity.)
Why does this hint make sense?
19infact this is the abstract poisson distribution , hence the answer is (a),(c)
11We can replace a Bionomial distribution by the poisson distribution when np(=λ) is finite - but n →∞...
BTW is posson and bionomial distributions in JEE?
62as a hint, try to see what is the limiting value of the given number
It will be found by the expansion of (1-q)r
Then compare it with expansion of ex