Question: 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 *

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?

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