Question

A given binomial distribution has 10 trials and probability of success p=1/3. Compute the standard deviation and explain your solution

Answer 1

Answer: 1.49

Explanation:

We know that the standard deviation in a binomial distribution is given by :-

`\sigma=√(n\cdot p\cdot (1-p))`, where n is the number of trials and p is the probability of success.

Given : The number of trials :
`n=10`

The probability of success =
`p=(1)/(3)`

Then , the standard deviation will be :-

`\sigma=\sqrt{10\cdot (1)/(3)\cdot (1-(1)/(3))}\\\\\Rightarrow\ \sigma=1.490711985\approx1.49`