Here is a probability distribution for a random variable :
Value of
2
3
4
Probability
0.2
0.4
0.4
Find the mean and standard deviation for this distribution.
Construct a different probability distribution with the same possible values, the same mean, and a larger standard deviation. Show your work and report the standard deviation of your new distribution.
Construct a different probability distribution with the same possible values, the same mean, and a smaller standard deviation. Show your work and report the standard deviation of your new distribution.