Some probability distributions. Here is a probability distribution for a random variable X:
|
Value of X
|
2
|
3
|
4
|
|
Probability
|
0.3
|
0.4
|
0.3
|
(a) Find the mean and standard deviation for this distribution.
(b) 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.
(c) 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.