Home
Class 12
MATHS
Show that the standard deviation of a bi...

Show that the standard deviation of a binomial distribution cannot exceed `(sqrt(n))/(2)`.

Text Solution

Verified by Experts

The correct Answer is:
The standard deviation of a binomial distribution cannot exceed `(sqrt(n))/(2)`.
Promotional Banner

Topper's Solved these Questions

  • BINOMIAL DISTRUTION

    CHHAYA PUBLICATION|Exercise MCQ|9 Videos
  • BINOMIAL DISTRUTION

    CHHAYA PUBLICATION|Exercise VERY SHORT ANSWER TYPE QUESTIONS|25 Videos
  • BINARY OPERATION

    CHHAYA PUBLICATION|Exercise Assertion-Reason Type|2 Videos
  • BINOMIAL THEOREM

    CHHAYA PUBLICATION|Exercise Sample Questions for Competitive Exams (Assertion -Reason Type)|2 Videos

Similar Questions

Explore conceptually related problems

Show that the standard deviation of a binomial distribution (with parameters n and p) cannot exceed sqrt(n)//2 .

Obtain the variance of a binomial distribution and show that the variance cannot exceed (n)/(4) .

State True/False : The variance of binomial distribution can never exceed the mean.

The mean and standard deviationg of a binomial distribution B(n,p) are 150 and 10 respectively. Then np^2 =

The variance of a binomial distribution with parameters n and p is

The variance of a binomial distribution with parameters n and p is-

Sum and product of mean and standard deviation of a bionomial distribution are 24 and 128 respectively. Find the distribution.

Calculate the mean and variance of a binomial distribution and hence show that vltm .

The mean of a binomial distribution with parameters n and p is

If standard deviation of a ravdom variable x is 2 then var(5x) is