After some experimentation it was determined that the maximum mars phaser measurement error, X, has the following probability density function:

f(x)=

f(x) = (3 * (8x - x^2)) / 256 for 0 x 8, and 0 otherwise

1. What is the expected value of X?

1. What is the expected value of X^2+2X1?

1. What is the73rd percentile of X?

1. What is the probability that X is within1.0of its expected value?

1. What is the variance of X?

1. What is the expected value of X-5?

1. What is the expected value of7X?

1. What is the expected value of X^2?

1. What is the probability that X is greater than its expected value?