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3. Here is a probability distribution for a random variable X: X2 3 4 p) 0.3 0.4

ID: 3058676 • Letter: 3

Question

3. Here is a probability distribution for a random variable X: X2 3 4 p) 0.3 0.4 03 (a) Find the mean and variance for this distribution (b) Using the same values of X (and changing the mass function), construct a different probability distribution construct a different probability distribution construct a different probability distribution with the same mean and a larger variance c) Using the same values of X (and changing the mass function), with the same mean and a smaller variance. (d) Using the same values of X (and changing the mass function), with a larger mean

Explanation / Answer

3. Here is a probability distribution for a random variable X: X2 3 4 p) 0.3 0.4 03 (a) Find the mean and variance for this distribution (b) Using the same values of X (and changing the mass function), construct a different probability distribution construct a different probability distribution construct a different probability distribution with the same mean and a larger variance c) Using the same values of X (and changing the mass function), with the same mean and a smaller variance. (d) Using the same values of X (and changing the mass function), with a larger mean

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