1. Consider the following discrete probability distribution.

x	P(x)
1	0.25
2	0.30
3	0.45

1. Calculate the expected value, variance, and standard deviation of the random variable.
2. Let y=x+5. Calculate the expected value, variance, and standard deviation of the new random variable.
3. What is the effect of adding a constant to a random variable on the expected value, variance, and standard deviation?
4. Let z=5x. Calculate the expected value, variance, and standard deviation of the new random variable.
5. What is the effect of multiplying a random variable by a constant on the expected value, variance, and standard deviation?