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Some probability distributions. Here is a probability distribution for a random variable X:
Value of X
2
3
4
Probability
0.3
0.4
(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.
What proportion of the normal distribution is found in the following areas?- Between the mean and z = .21- Beyond z = .55- Between the mean and z = -2.01
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