1/ pis Given the random variable X with probability mass function X -4 -1 1 2 p(x) 0.1 0.4 0.3 0.2 a) What is the expected value for X? b) What is the variance of X? c) What is the cumulative distribution for X d) Now suppose that p(x) given above is incorrect. A test is done to re-evaluate p(x). The test results show that values of X do not change, but the distribution follows the conditions: (i) P(X 2 1) = 0.6, (ii) P(X s 1) = 0.7, and (iii) P(X * -4) = 0.8. What is the correct p(x)