Standard Deviation

         

If the standard deviation of the following probability distribution: P(X=0)=0.2,P(X=1)=0.4,P(X=2)=0.4\begin{array}{c}&P(X = 0) = 0.2, &P(X = 1) = 0.4, &P( X = 2) = 0.4\end{array} is A,A, what is the value of A2?A^2?

If the standard deviation of the following probability distribution: P(X=0)=0.1,P(X=1)=0.3,P(X=2)=0.6\begin{array}{c}&P(X = 0) = 0.1, &P(X = 1) = 0.3, &P( X = 2) = 0.6 \end{array} can be expressed as 110A,\frac{1}{10} \sqrt{A}, what is A?A?

The figure above represents the graphs of the probability density functions of three different probability distributions that have the same mean m.m. Which of the following correctly represents them in order of increasing standard deviation?

Note: Assume that the areas under the curves are all equal to 1.

If the standard deviation of the numbers 19,21,2219, 21, 22 and 2323 is a constant mm, then the standard deviation of the numbers 21,23,2421, 23, 24 and 2525 is _________.\text{\_\_\_\_\_\_\_\_\_}.

What is the standard deviation of the following probability distribution: P(X=4)=12,P(X=14)=12?\begin{array}{c}&P(X = 4) = \frac{1}{2}, &P( X = 14) = \frac{1}{2} ? \end{array}

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