Answer: 3.416
Step-by-step explanation:
Let Event R = drawing a red bead
Event W = drawing a white bead
As per given : P(R) = 0.66 and P(W)=0.34
Also, P(R)+P(W)=0.66+0.34=1.00
It means , there are only two events.
In Binomial distribution (For two independent event) , the standard deviation is given by :-
, where n= number of trials , p = probability of getting one event , q = probability of getting other event.
For current situation , n= 52 , p=0.66 , q=0.34
Substitute the corresponding values , we get
![\sigma=\sqrt{52(0.66)(0.34)}](https://tex.z-dn.net/?f=%5Csigma%3D%5Csqrt%7B52%280.66%29%280.34%29%7D)
![\sigma=\sqrt{11.6688}](https://tex.z-dn.net/?f=%5Csigma%3D%5Csqrt%7B11.6688%7D)
![\sigma=3.41596252907\approx3.416](https://tex.z-dn.net/?f=%5Csigma%3D3.41596252907%5Capprox3.416)
Hence, the standard deviation is 3.416.