Answer: 1.49
Step-by-step explanation:
We know that the standard deviation in a binomial distribution is given by :-
[tex]\sigma=\sqrt{n\cdot p\cdot (1-p)}[/tex], where n is the number of trials and p is the probability of success.
Given : The number of trials : [tex]n=10[/tex]
The probability of success = [tex]p=\dfrac{1}{3}[/tex]
Then , the standard deviation will be :-
[tex]\sigma=\sqrt{10\cdot \dfrac{1}{3}\cdot (1-\dfrac{1}{3})}\\\\\Rightarrow\ \sigma=1.490711985\approx1.49[/tex]
