independent? 2.23. Let Y be a random variable and f a Borel function. Suppose that f(X) is not a.s. constant. Is it possible for X and f(X) to be independent? 2.24. Let 2 1,,ws) with Pfwi variables X, Y, and Z by P2Ptws) 1/3. Define random Find the distributions of X Y, Y + Z, Z X and XY + Z 2.25. Roll two fair dice. Let X be the smaller of the pips showing on the two, and Y the larger. Find the probability mass functio of Y -X. 2.26. The following are probability mass functions. def (a) PX (x) = kx for x = 1, 2, 3, 4, 5, px(x) = 0 otherwise. Find k. (b) py (y) cy(1 - y) for y 1/4, 1/2 and 3/4, and py () 0 otherwise Find c. 2.27. A random variable X has an absolutely continuous distribution whose densit f(x) is proportional to x on 0 < x < 1, and f(x) = 0 otherwise. What is P(X
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.
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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.
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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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