Answer:

Step-by-step explanation:
![\sqrt{8} = \sqrt{4*2} = \sqrt{4} * \sqrt{2} = 2*\sqrt{2} = 2\sqrt{2} \\\\\sqrt[3]{8} = \sqrt{2*2*2} = 2](https://tex.z-dn.net/?f=%5Csqrt%7B8%7D%20%3D%20%5Csqrt%7B4%2A2%7D%20%3D%20%5Csqrt%7B4%7D%20%2A%20%5Csqrt%7B2%7D%20%3D%202%2A%5Csqrt%7B2%7D%20%20%3D%202%5Csqrt%7B2%7D%20%5C%5C%5C%5C%5Csqrt%5B3%5D%7B8%7D%20%3D%20%5Csqrt%7B2%2A2%2A2%7D%20%20%3D%202)
Answer:
The standard deviation of this probability distribution is 1.2.
Step-by-step explanation:
We have that:
P(X = 0) = 0.25
P(X = 1) = 0.3
P(X = 2) = 0.1
P(X = 3) = 0.35
Mean:
Each value multiplied by its probability. So
Variance:
Sum of the squares of the values subtracted from the mean, and multiplied by its probability.

Standard deviation:
Square root of the variance. So

The standard deviation of this probability distribution is 1.2.