Construct a different probability distribution

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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

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.

Reference no: EM131423114

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