“Dice Sums” Activity Standards Addressed
... 4. Students will make a conclusion on whether or not they think the game is fair based on the classroom data. 5. Students will then be asked to come up with a theoretical analysis to decide whether or not the game is fair. This needs to include a why and mathematical proof to prove their conclusion. ...
... 4. Students will make a conclusion on whether or not they think the game is fair based on the classroom data. 5. Students will then be asked to come up with a theoretical analysis to decide whether or not the game is fair. This needs to include a why and mathematical proof to prove their conclusion. ...
Notes #12—Intro to Probability
... For each example below, give the sample space (S) and the size of the sample space (N) 1. You are flipping a quarter one time. S= N= 2. You are flipping a quarter two times. S= N= 3. You roll a dice one time S= N= 4. You flip a coin 3 times, give the sample space for the number of times it lands on ...
... For each example below, give the sample space (S) and the size of the sample space (N) 1. You are flipping a quarter one time. S= N= 2. You are flipping a quarter two times. S= N= 3. You roll a dice one time S= N= 4. You flip a coin 3 times, give the sample space for the number of times it lands on ...
Week 3 ANS - Basic Probability
... (c) Given that a man over 50 years is a non-smoker, what is the probability that he has heart disease? P(H⏐S’) = P(H ∩ S’) P(S’) ...
... (c) Given that a man over 50 years is a non-smoker, what is the probability that he has heart disease? P(H⏐S’) = P(H ∩ S’) P(S’) ...
Probwkshp
... 1. The Sample Space (S) associated with any experiment is the set of all possible outcomes that can occur as a result of the experiment. So naturally, we will call each element of the sample space an outcome. Consider the experiment of rolling a pair of fair dice. The figure below gives a representa ...
... 1. The Sample Space (S) associated with any experiment is the set of all possible outcomes that can occur as a result of the experiment. So naturally, we will call each element of the sample space an outcome. Consider the experiment of rolling a pair of fair dice. The figure below gives a representa ...
Ch14and15
... The Law of Large Numbers says that as the number of trials increases, the experimental probability approaches the theoretical probability. A probability distribution for a certain variable is a table made up of the sample space and the individual probabilities of each event in the sample space. ...
... The Law of Large Numbers says that as the number of trials increases, the experimental probability approaches the theoretical probability. A probability distribution for a certain variable is a table made up of the sample space and the individual probabilities of each event in the sample space. ...
Chapter 6 (Keasler)
... NC State posts the grade distributions for its courses online. Students taking Stats 101 last semester received 26% As, 42% Bs, 20% Cs, 10% Ds, and 2 % Fs. The student’s grade on a 4 point scale is a discrete random variable X with this probability distribution. ...
... NC State posts the grade distributions for its courses online. Students taking Stats 101 last semester received 26% As, 42% Bs, 20% Cs, 10% Ds, and 2 % Fs. The student’s grade on a 4 point scale is a discrete random variable X with this probability distribution. ...
CS 171 Lecture Outline Conditional Probability
... Example 4. A medical test for a certain condition has arrived in the market. According to the case studies, when the test is performed on an affected person, the test comes up positive 95% of the times and yields a “false negative” 5% of the times. When the test is performed on a person not sufferin ...
... Example 4. A medical test for a certain condition has arrived in the market. According to the case studies, when the test is performed on an affected person, the test comes up positive 95% of the times and yields a “false negative” 5% of the times. When the test is performed on a person not sufferin ...
multiplication rule for independent events.
... knowing that one occurs does not change the probability that the other occurs. If A and B are independent – P(A and B) = P(A)×P(B) • Sometimes called the multiplication rule for independent events. ...
... knowing that one occurs does not change the probability that the other occurs. If A and B are independent – P(A and B) = P(A)×P(B) • Sometimes called the multiplication rule for independent events. ...
AP Statistics
... Determining which to use is generally done from the context of the problem. An event is an outcome or a set of outcomes of a random phenomenon, a subset of the sample space. ...
... Determining which to use is generally done from the context of the problem. An event is an outcome or a set of outcomes of a random phenomenon, a subset of the sample space. ...
MATH/STAT 394A-Probability I, FALL 2011 Introduction to
... not be able to cover every topic and example in Ross, and conversely, I may cover some topics/examples in lectures that are not treated in Ross. You will be responsible for all material in my lectures, assigned reading, and homework, including supplementary handouts if any. I will post the lecture n ...
... not be able to cover every topic and example in Ross, and conversely, I may cover some topics/examples in lectures that are not treated in Ross. You will be responsible for all material in my lectures, assigned reading, and homework, including supplementary handouts if any. I will post the lecture n ...
4-1 Notes (answers)
... will be. Based on past test grades, Joe is almost certain he will earn and A. What specific number do you think Joe assigned the probability of earning an A. Answer: Because we aren’t given any actual values such as Joe’s past test scores, the only way to assign a probability to this event is intuit ...
... will be. Based on past test grades, Joe is almost certain he will earn and A. What specific number do you think Joe assigned the probability of earning an A. Answer: Because we aren’t given any actual values such as Joe’s past test scores, the only way to assign a probability to this event is intuit ...
Lecture 1 - Wharton Statistics
... • The complement Ac of an event A is the event that A does not occur • Probability Rule 3: P(Ac) = 1 - P(A) • The union of two events A and B is the event that either A or B or both occurs • The intersection of two events A and B is the event that both A and B occur Event A ...
... • The complement Ac of an event A is the event that A does not occur • Probability Rule 3: P(Ac) = 1 - P(A) • The union of two events A and B is the event that either A or B or both occurs • The intersection of two events A and B is the event that both A and B occur Event A ...
Quiz 1
... Alice has 5 red, 6 blue, 3 white, and 4 orange marbles. All marbles are put in a sack and one marble is selected at random. Compute each probability. a. P(red) = _______ b. P(blue) = _______ c. P(red or orange) = _______ d. P(not getting white) = _______ ...
... Alice has 5 red, 6 blue, 3 white, and 4 orange marbles. All marbles are put in a sack and one marble is selected at random. Compute each probability. a. P(red) = _______ b. P(blue) = _______ c. P(red or orange) = _______ d. P(not getting white) = _______ ...
Solutions
... (b) What is the probability that the coin yields heads and the die yields 4? 1/12 either by uniform probability (12 elements in sample space) or by independence. (c) What is the probability that the die yields a number less than 3? 2/3 (d) What is the probability that the coin yields heads and the d ...
... (b) What is the probability that the coin yields heads and the die yields 4? 1/12 either by uniform probability (12 elements in sample space) or by independence. (c) What is the probability that the die yields a number less than 3? 2/3 (d) What is the probability that the coin yields heads and the d ...
Chapter_6_Probability
... mail-order catalog company ships 30% of its overnight packages using shipping service 1 and 70% using service 2. Service 1 fails to meet the 10AM delivery promise 10% of the time, whereas service 2 fails to deliver by 10 AM 8% of the time. Suppose you made a purchase from this company and were expec ...
... mail-order catalog company ships 30% of its overnight packages using shipping service 1 and 70% using service 2. Service 1 fails to meet the 10AM delivery promise 10% of the time, whereas service 2 fails to deliver by 10 AM 8% of the time. Suppose you made a purchase from this company and were expec ...
p(E|S)
... • Definition 1: Suppose that S is a set with n elements. The uniform distribution assigns the probability 1/n to each element of S. • Definition 2: The probability of the event E is the sum of the probabilities of the outcomes in E. That is, p(E)= sEp(s) – Selecting at random – Ex.2 ...
... • Definition 1: Suppose that S is a set with n elements. The uniform distribution assigns the probability 1/n to each element of S. • Definition 2: The probability of the event E is the sum of the probabilities of the outcomes in E. That is, p(E)= sEp(s) – Selecting at random – Ex.2 ...
Probability
... the events that might arise from the random experiment. Such a listing is made up of elementary events, which are the most detailed events of interest. The immediate concern when finding a probability is properly identifying the event. Any subset of a sample space is called event. By subset we mean ...
... the events that might arise from the random experiment. Such a listing is made up of elementary events, which are the most detailed events of interest. The immediate concern when finding a probability is properly identifying the event. Any subset of a sample space is called event. By subset we mean ...
Find Probability
... Suppose a number cube is rolled. What is the probability of rolling a 4 or a 5? There are 2 numbers on the number cube that are a 4 or a 5: 4 and 5. There are 6 possible outcomes: 1, 2, 3, 4, 5, and 6. ...
... Suppose a number cube is rolled. What is the probability of rolling a 4 or a 5? There are 2 numbers on the number cube that are a 4 or a 5: 4 and 5. There are 6 possible outcomes: 1, 2, 3, 4, 5, and 6. ...
Practice
... c. Use the probability generating function in part (b) to find E[X]. 2. Five cards are dealt from a standard deck of 52. Find a. the probability that the third card is an ace; b. the probability that the third card is an ace given that the first two cards are not aces; c. the probability of two or m ...
... c. Use the probability generating function in part (b) to find E[X]. 2. Five cards are dealt from a standard deck of 52. Find a. the probability that the third card is an ace; b. the probability that the third card is an ace given that the first two cards are not aces; c. the probability of two or m ...
