1. • The probability of an outcome is … (µ istheGreeklettermu.) I’ll try to not be overly formal. Mean, or Expected Value of a random variable X Let X be a random variable with probability distribution f(x). (1.5, p 1:5) (b) What is the probability that an employee receives no new calls during this 45-minute period? There is a . 11 6 (0.4422) Probability Page 1 of 15 Probability Rules A sample space contains all the possible outcomes observed in a trial of an experiment, a survey, or some random phenomenon. pc X) e. There is a . c. Is the random variable, x, continuous or discrete? Probability: Expected Value Class: Date: ll.C Student Activity Sheet 9: Binomial Probability and Expected Value At the National Baseball Batting Contest, the organizers have set up game booths for the contestants. What is the probability that an employee is overwhelmed? What is the expected value of the throw of a dice? Probability, expected value Exercises: 1. Expected Value Worksheet (Work the following probability problems in your notebook.) Binomial Probability Worksheet II Given the number of trials and the probability of success, determine the probability indicated: 1. n 12, p 0.2, find P(2 successes) 2. n 10, p 0.4, find P(1 success) 3. n 20, p 0.5, find P(10 successes) 4. n 15, p 0.9, find P(11 successes) 5. , … A caterer has just prepared numerous specialty dishes to be sold. In a game with 70 boxes, if I go ahead with the number obtained by a dice, The mean, or expected value, of X is m =E(X)= 8 >< >: å x x f(x) if X is discrete R¥ ¥ x f(x) dx if X is continuous EXAMPLE 4.1 (Discrete). The expected value of a random variable is denoted by E[X]. 4. What are the possible values for x? prob. This is mostly about expected value, both in its own right and in the context of the probabilistic method. Let X, the random variable, be all four coins. b. Suppose that a random variable X has the following PMF: x 1 0 1 2 f(x) 0.3 0.1 0.4 0.2 (a)If the probability of success at each location is 1 2, what location should the man-agement decide on in order to maximize expected pro t? What is the probability distribution of the throw of a dice? Solution: The expected value for location one: outcome payo probability pay. a. Richard wants to win a large stuffed animal. 1. Expected Uses of Probability Evan Chen August 11, 2014 Email: evan@evanchen.cc. • The sum of the probabilities for all possible outcomes in a sample space is 1. 755 Day 2 - pg 766, Permutation Worksheet Day 3 - In Class(Worksheet 14.2, 14.3 ( Finish Pre-Quiz) Day 4 - Multiplying Probabilities Worksheet-pg. Probability and Statistics Expected Value Worksheet Please see the following website that I think provides excellent 2. The expected value can bethought of as the“average” value attained by therandomvariable; in fact, the expected value of a random variable is also called its mean, in which case we use the notationµ X. View Expected Value Practice (1).pdf from HOME SCHOOL 000 at Home School Academy. What is the probability to obtain 1 or 2 if I throw a dice once? d. Construct a probability distribution for this experiment. The rules of the game are as follows: List the sample space for the experiment. Discrete Probability Distributions Worksheet 1. §1De nitions and Notation Nothing tricky here, just setting up notation. What is the expected value and standard deviation of Y? You flip four coins. (0.2231) (c) *An employee is overwhelmed if more than 1 call comes in over the 45-minute period. Day 1 - Part I Counting Principle Worksheet, pg. 11 5. chance that they will be sold today, in which case the profit will be $76. 3.