Aspire's Library
A Place for Latest Exam wise Questions, Videos, Previous Year Papers,
Study Stuff for MCA Examinations - NIMCET
Study Stuff for MCA Examinations - NIMCET
Previous Year Question (PYQs)
Given below are two statements: One is labelled as Assertion A and the other is labelled as Reason R.
Assertion A:
An elevator starts with $m$ passengers and stops at $n$ floors $(m\le n)$.
The probability that no two passengers alight at the same floor is
$\displaystyle \frac{,{}^{n}P_m}{n^m}$.
Reason R:
If $(n+1)p$ is an integer, say $r$, then
$P(X=r)=,{}^{n}C_r p^r(1-p)^{n-r}$ is maximum when $r=np$ or $r=np-1$.
In the light of the above statements, choose the most appropriate answer:
Solution
Total ways for $m$ passengers to choose floors $=n^m$
Favorable ways (all different floors) $={}^{n}P_m$
So Assertion A is true.
Reason R is a property of binomial distribution, which is true, but it has no relation to the elevator probability problem
Online Test Series, Information About Examination,
Syllabus, Notification
and More.
View More
Online Test Series, Information About Examination,
Syllabus, Notification
and More.
View More
Ask Your Question or Put Your Review.
