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Lect1_2008
Lect1_2008

... outcomes (such as "Getting an even number" on the die, or "Getting 3 heads in 5 consecutive experiments with a coin") we need to make a reasonable guess about the probabilities of the elementary events (getting H or T for a coin , or one of six faces for a die). For instance, we can assume (as we us ...
Probability, Random variable and Stochastic Process
Probability, Random variable and Stochastic Process

1. Probability
1. Probability

Probability and Statistics
Probability and Statistics

Statistics Chapter 5
Statistics Chapter 5

... Definitions Event - any collection of results or outcomes from some procedure  Simple event - any outcome or event that cannot be broken down into simpler components Compound event – an event made up of two or more other events  Sample space - all possible simple events ...
Probability Problems III
Probability Problems III

... h) Are B and C independent?  Why? No, The P(C) = 2/9 is not equal to P(C|B)= 4/9.  So, C is not  independent of B  3) Joyce has a 0.5 chance of getting a federal grant for college, and a 1/3 chance of getting a state  grant.  If the federal and state grants have no effect on one another.  What is th ...
243_T_1_Review
243_T_1_Review

Probability and Counting - University of Louisville Department of
Probability and Counting - University of Louisville Department of

... in each trial one and only one of the elements of S can occur as outcome. The elements of S are called simple events or simple outcomes. An event E is any subset of S, including the empty set and S itself. E is a simple event if it contains exactly one element of S, it is a compound event if it cont ...
probability - wellswaymaths
probability - wellswaymaths

... CONDITIONAL PROBABILITY Give your answers correct to 3 significant figures. 1. One box contains 50 red pens and 25 blue pens. A second box contains 35 red pens and 40 blue pens. One box is chosen at random and then one pen is chosen at random from that box. If it is a red pen, what is the probabili ...
Chapter 5
Chapter 5

Some Practice Problems from Exam 1, Spring 2014 (Questions 1-5)
Some Practice Problems from Exam 1, Spring 2014 (Questions 1-5)

... D) 0.65 E) 0.74 (31) Assuming the null hypothesis is true, what is standard error of the estimate of p? A) 0.0253 B) 0.0275 C) 0.0289 D) 0.0500 E) 0.0548 (32) Assuming the null hypothesis is true, what is the value of the test statistics? A) 3.6 B) 3.0 C) 3.3 D) -3.0 E) -3.3 (33) Assuming the null h ...
A ∩ B
A ∩ B

... EXAMPLE 4: According to the National Center for Health Statistics (http://www.cdc.gov/nchs/data/nhis/earlyrelease/wireless201306.pdf), in December 2012, 60% of U.S. households had a traditional landline telephone, 89% of households had cell phones, and 51% had both. Suppose we randomly selected a ho ...
Probability Probability is the study of uncertain events or outcomes
Probability Probability is the study of uncertain events or outcomes

Standards
Standards

Exam 1 - MIT OpenCourseWare
Exam 1 - MIT OpenCourseWare

... No books or calculators. You may have one 4×6 notecard with any information you like on it. 6 problems, 8 pages Use the back side of each page if you need more space. Simplifying expressions: You don’t need to simplify complicated expressions. For ex­ ...
Counting Statistics
Counting Statistics

Example - Cengage Learning
Example - Cengage Learning

... services: A, B, and C. The probability of selecting service A is 1/2, of selecting B is 3/10, and of selecting C is 1/5. Suppose the event T is “on time delivery.” P(T|A) = 9/10, P(T|B) = 7/10, and P(T|C) = 4/5. A service is randomly selected to deliver a package overnight. Construct a tree diagram ...
Chapter 5 Probability
Chapter 5 Probability

... The probability that a randomly selected murder victim was male is 0.7515. The probability that a randomly selected murder victim was less than 18 years old given that he was male was 0.1020. What is the probability that a randomly selected murder victim is male and is less than 18 years old? Data b ...
Combinatorics
Combinatorics

... – An ordered arrangement of n elements from a set – An r-permutation is an ordered arrangement of r elements taken from a set of n elements – The number of r-permutations of n items P(n,r) ...
lecture 19 ppt
lecture 19 ppt

B - Erwin Sitompul
B - Erwin Sitompul

pptx
pptx

Notes
Notes

Chapter 4
Chapter 4

Quiz 4 Answer Key
Quiz 4 Answer Key

... minutes and a standard deviation of four minutes. What proportion of the drive times will take between 36.8 and 38 minutes? (2 pts) ...
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Probability

Probability is the measure of the likeliness that an event will occur. Probability is quantified as a number between 0 and 1 (where 0 indicates impossibility and 1 indicates certainty). The higher the probability of an event, the more certain we are that the event will occur. A simple example is the toss of a fair (unbiased) coin. Since the two outcomes are equally probable, the probability of ""heads"" equals the probability of ""tails"", so the probability is 1/2 (or 50%) chance of either ""heads"" or ""tails"".These concepts have been given an axiomatic mathematical formalization in probability theory (see probability axioms), which is used widely in such areas of study as mathematics, statistics, finance, gambling, science (in particular physics), artificial intelligence/machine learning, computer science, game theory, and philosophy to, for example, draw inferences about the expected frequency of events. Probability theory is also used to describe the underlying mechanics and regularities of complex systems.
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