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Probability

Counting Principle

Subject: 
Physics
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Experiment
Probability
Outcome
Sample space

Mrs Patek has three pairs of capri pants, a black pair, a ?tan pair and a blue pair. She also has two different T-?shirts, one white and one pink. Make a tree diagram to ?show all the possible outfits. Counting Principle What is the probability you will select the black capri pant and the pink T-?shirt when selecting an outfit at random? Lindsey flips a coin and rolls a number cube at the same time. Draw a tree diagram to display the possible choices. What is the probability you will get a heads and an even number? 1.) How many possible outcomes are there for flipping a coin ?three times? 2.) P(exactly two heads)?3.) P(one head) 4.) P(three tails)?5.) P(at least two tails) Draw a tree diagram to show all the possible outcomes for ?flipping a coin three times.

Continuous Random Variables

Subject: 
Statistics
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Mathematical analysis
Probability theory
Probability and statistics
Statistical randomness
Probability distribution
Random variable
Probability density function
Expected value
Stochastic process
Probability
Convergence of random variables
Conditional probability distribution

5-1 Section 5: Continuous Random Variables Recall that a random variable is a function that assigns a real number to each outcome in a sample space. If the random variable can take on any value in some interval of real numbers, then it is called a continuous random variable. Discrete random variables most often arise from processes which involve counting, while continuous random variables typically arise from measurements. In this chapter we shall study basic properties of continuous random variables and their probability distributions. The Probability Density Function The first condition above simply states that the function must be nonnegative for all x, which will ensure that all associated probabilities are also nonnegative. The second property listed above

Independent/Dependent

Subject: 
Geometry
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Statistical randomness
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Independent and Dependent Events For problems #1-6, determine whether the events are independent or dependent. Jeremy took the SAT on Saturday and scored 1950. The following week he took the ACT and scored 23. Alita?s basketball team is in the final four. If they win, they will play in the championship game. In a game, you roll an even number on a die and then spin a spinner numbered 1 through 5 and get an odd number. An ace is drawn, without replacement, from a deck of 52 cards. Then, a second ace is drawn. In a bag of 3 green and 4 blue marbles, a blue marble is drawn and not replaced. Then a second blue marble is drawn. You roll two dice and get a 5 each time. Find the probability of each event.

Permutations

Subject: 
Geometry
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Permutations
Measurement
Bayes' theorem
Random variable

Name:_________________________________________Date:___________________________Period:_________ Section 13-2 Practice Probability with Permutations A high school performs a production of A Raising in the Sun with each freshman English class of 18 students. If the three members of the crew are decided at random, what is the probability that Chase is selected for lighting, Jaden is selected for props, and Emelina for spotlighting? What is the probability that a license plate using the letters C, F, and F and numbers 3, 3, 3, and 1 will be CFF3133? Alfonso and Colin each bought one raffle ticket at the state fair. If 50 tickets were randomly sold, what is the probability that Alfonso got ticket 14 and Colin got ticket 23?

13-2 mixed practice

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Geometry
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Random variable
Hypergeometric distribution

Name:_________________________________________Date:___________________________Period:_________ 13.2/13.5 Mixed Practice Mixed Probability Practice Determine whether the events are independent or dependent. Then find the probability. A king is drawn from a deck of 52 cards, then a coin is tossed and lands heads up. A spinner with 4 equally spaced sections numbered 1 through 4 is spun and lands on 1, then a die is tossed and rolls a 1. A red marble is drawn from a bag of 2 blue and 5 red marbles and not replaced, then a second red marble is drawn. A red marble is drawn from a bag of 2 blue and 5 red marbles and then replaced, then a red marble is drawn again. In a game two dice are tossed and both roll a six.

Unit 1

Subject: 
Statistics
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Normal distribution
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analyze the prompt

Analyze Prompt Teacher: Mr. Eades Student Name: Justin Outten Subject/Period: A1 AP Statistics Prompt: According to the Bureau of the Census, 68% of Americans owned their own homes in 2003. A local real estate office is curious as to whether a higher percentage of Americans own their own homes in its area. The office selects a random sample of 200 people in the area to estimate the percentage of those people that own their own homes. Verify that a Normal model is a useful approximation for the Binomial in this situation. What is the probability that at least 140 people will report owning their own home? Based on the sample, how many people would it take for you to be convinced that a higher percentage of Americans own their own homes in that area? Explain. Plan:
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