Probability and Statistics Activity: Complements Come Easily! TEKS
... describe the relationship between the two. (6.13) Underlying processes and mathematical tools. The student uses logical reasoning to make conjectures and verify conclusions. The student is expected to: (A) make conjectures from patterns or sets of examples and nonexamples; and ...
... describe the relationship between the two. (6.13) Underlying processes and mathematical tools. The student uses logical reasoning to make conjectures and verify conclusions. The student is expected to: (A) make conjectures from patterns or sets of examples and nonexamples; and ...
PROBABILITY NOTES - 1 SAMPLE SPACES AND EVENTS
... Sample point and sample space: A sample point is the simple outcome of a random experiment. The sample space is the collection of all sample points related to a specified experiment. Mutually exclusive outcomes: Outcomes are mutually exclusive if they cannot occur simultaneously. They are also refer ...
... Sample point and sample space: A sample point is the simple outcome of a random experiment. The sample space is the collection of all sample points related to a specified experiment. Mutually exclusive outcomes: Outcomes are mutually exclusive if they cannot occur simultaneously. They are also refer ...
June 20(Lecture 10)
... We define probability in terms of a sample space S, which is a set whose elements are called elementary events. Each elementary event can be viewed as a possible outcome of an experiment. An event is a subset of the sample space S. Example: flipping two distinguishable coins Sample space: S = {HH, H ...
... We define probability in terms of a sample space S, which is a set whose elements are called elementary events. Each elementary event can be viewed as a possible outcome of an experiment. An event is a subset of the sample space S. Example: flipping two distinguishable coins Sample space: S = {HH, H ...
Sets
... Def. A probability distribution Pr{} on a sample space S is a mapping from events of S to real numbers s.t. 1. Pr{A} > 0 event A 2. Pr{S} = 1 3. Pr{AB} = Pr{A} + Pr{B} for any 2 mutually exclusive event A and B Def. A probability distribution is discrete if it is defined over a finite or countabl ...
... Def. A probability distribution Pr{} on a sample space S is a mapping from events of S to real numbers s.t. 1. Pr{A} > 0 event A 2. Pr{S} = 1 3. Pr{AB} = Pr{A} + Pr{B} for any 2 mutually exclusive event A and B Def. A probability distribution is discrete if it is defined over a finite or countabl ...
Chapter 3
... P A | B P( A) and P B | A P( B) A very interesting and counter intuitive result is that two events that are mutually exclusive meaning they do not occur together are as a result dependent! This bothers most people, but the answer lies in the fact that mutually exclusive events have no int ...
... P A | B P( A) and P B | A P( B) A very interesting and counter intuitive result is that two events that are mutually exclusive meaning they do not occur together are as a result dependent! This bothers most people, but the answer lies in the fact that mutually exclusive events have no int ...
Discrete Probability Distributions handout
... • n trials are independent and identically repeated. • Each trial has 2 outcomes, S = Success or F = Failure. • Probability of success on a single trial is p. P(S) = p • Probability of success is the same in each trial • Probability of failure is q. P(F) =q where p + q = 1 • Challenge: find the prob ...
... • n trials are independent and identically repeated. • Each trial has 2 outcomes, S = Success or F = Failure. • Probability of success on a single trial is p. P(S) = p • Probability of success is the same in each trial • Probability of failure is q. P(F) =q where p + q = 1 • Challenge: find the prob ...
Elementary probability examples, Counting techniques
... Given the information that P[A B] = .9 , P[A] = .7 , P[B] = .6 , find P[exactly one of A, B occurs] Incorrect labelling of the Venn diagram: "A" refers to the entire left circle, not just the left lune. Required event: AB' + A'B ...
... Given the information that P[A B] = .9 , P[A] = .7 , P[B] = .6 , find P[exactly one of A, B occurs] Incorrect labelling of the Venn diagram: "A" refers to the entire left circle, not just the left lune. Required event: AB' + A'B ...
Week 6
... 79/232 = 0.34. This estimate is based on a sample of 232 people with a margin of error of about 0.066 ...
... 79/232 = 0.34. This estimate is based on a sample of 232 people with a margin of error of about 0.066 ...
Caffeine
... Recall that for a collection of n iid Ber(p) random variables, their sum is a a Binomial(n,p) random variable. Having the estimators (6), our estimator, (7), of (3) is simply a function of three Binomial random variables. Viewed another way, since we are actually taking averages of these Binomial ra ...
... Recall that for a collection of n iid Ber(p) random variables, their sum is a a Binomial(n,p) random variable. Having the estimators (6), our estimator, (7), of (3) is simply a function of three Binomial random variables. Viewed another way, since we are actually taking averages of these Binomial ra ...
