A fair tetrahedral die, with its faces labelled zero (0), one (1), two (2), and three (3), is thrown twice. The score on each throw is the number shown on the face which lands on the floor. Random variables X and Y are defined as follows: X is the remainder when the SUM of the scores is divided by FOUR. Y is the remainder when the PRODUCT of the scores is divided by THREE. (a) Show that the joint probability mass function p(x,y) for X and Y, is that which is given below. p(x,y) 3/16 1 1/16 1 4/16 3/16 1 1/16 2/16 2/16 3 0. 3. (b) Determine each of the marginal probability mass functionsf (x) and f 2 (y). (c) Determine each of the probabilities p(X = 0|Y = 1) and p(X = 0|Y > 0). (d) Determine E(X), Var (X), E(Y),Var (Y), and p x.r- %3D %3D
Percentage
A percentage is a number indicated as a fraction of 100. It is a dimensionless number often expressed using the symbol %.
Algebraic Expressions
In mathematics, an algebraic expression consists of constant(s), variable(s), and mathematical operators. It is made up of terms.
Numbers
Numbers are some measures used for counting. They can be compared one with another to know its position in the number line and determine which one is greater or lesser than the other.
Subtraction
Before we begin to understand the subtraction of algebraic expressions, we need to list out a few things that form the basis of algebra.
Addition
Before we begin to understand the addition of algebraic expressions, we need to list out a few things that form the basis of algebra.
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