1. An urn contains 4 red balls, 3 blue balls, 2 green balls and one black ball. One ball is selected at random. Consider games X defined as follows. Blue X - 85.00 +$1.00 + $2.50 + S10.00 Green Black Red (a) Find the probabilities P(X > 1.00) and P(X 2 1.00). (b) Find the expected value, E(X). (c) Find the probability standard deviation, o(X). (d) Find the cumulative distribution functions F(2) = P(X < z). 2. A cumulative distribution function of a random variable X is given as follows. 0.00, if z<-2.0, 0.30, if -2.0 s z< 1.5, F(z) = {0.85, if 1.5 Sz< 2.0, 0.90, if 2.0 sz < 3.25, 1.00, if 3.25 S I. (a) Find the probability mass function. (b) Find the probability, P(1.0

‘Matrices’ is the plural form of the word matrix, and it is basically a spreadsheet in the form of a box. In mathematics, various functions can be carried out with matrices. Generally, a matrix comes in the shape of a square or rectangle. The elements ar…