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

Step-by-step explanation:

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

$\sigma=\sqrt{n\cdot p\cdot (1-p)}$, 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 = $p=\dfrac{1}{3}$

Then , the standard deviation will be :-

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