Consider tossing three coins simultaneously. The random variable under consideration is the number of heads that could result. a List the possible values of X. b Tabulate the possible outcomes and the corresponding values of X. c Find the values of P(X = x), the probability of each x value occurring. d Graph the probability distribution P(X = x) against x as a probability column graph.
Week 1 Monday, August 28, 2017 9:18 PM 1. Functions Situation where there is an input (x) and some output (y) represented by an ordered pair (x,y). A function is a relation. So, for every input there's exactly ONE output Ex. Function: Input a number, output its square. (1,1) (2,4) (3,9)… Ex. Not a function: In put a person, output their email (Jane Doe, Jdoe@student.college.edu) (Jane Doe, Jdoe@gmail.com) If an input x is related to output y by a function, call it f X is the independent variable Y is the dependent variable We will write y=f(x) Ex. Function that gives area A of a circle with radius r 2 A=∏r 1.1 Evaluating Functions Given an input, find the associated output. Ex. What's the area of a circle with a radius of 3 For A=∏r , find A(3). 2 A(3) = ∏3 = ∏9 A = 9∏ 1.2 Kinds of Functions • Polynomial: Sums of terms ax n A is a real number, n is a whole number • Algebraic: Start with a polynomial. The add, subtract, multiply, divide or take roots • Transcendental: Anything that isn't algebraic. Ex. Exponential, logarithmic 1.3 Types of Problems 1. Ordered Pairs 2. Equations 3. Graphs 1.4 Domain and Range For a function the set of possible inputs is the domain and the set of possible outputs is the range. Since a function is a correspondence be