Notes 4 - Wharton Statistics
... That is, consider an experiment whose sample space S is a finite set, say S {1, 2, , N } . Then it is often natural to assume that P({1}) P({2}) P({N }) . This implies that ...
... That is, consider an experiment whose sample space S is a finite set, say S {1, 2, , N } . Then it is often natural to assume that P({1}) P({2}) P({N }) . This implies that ...
PPT - Carnegie Mellon School of Computer Science
... Conditional Probability Let = {w1, w2, . . . , wr} be the original sample space with distribution function m(wk). Suppose we learn that the event E has occurred. We want to assign a new distribution function m(wk |E) to reflect this fact. It is reasonable to assume that the probabilities for wk i ...
... Conditional Probability Let = {w1, w2, . . . , wr} be the original sample space with distribution function m(wk). Suppose we learn that the event E has occurred. We want to assign a new distribution function m(wk |E) to reflect this fact. It is reasonable to assume that the probabilities for wk i ...
day8
... • Because continuous random variables can take all values in a range, it is not possible to assign probabilities to individual values. • Instead we have a continuous curve, called a probability density function, which allows us to calculate the probability a value within any interval. • This probabi ...
... • Because continuous random variables can take all values in a range, it is not possible to assign probabilities to individual values. • Instead we have a continuous curve, called a probability density function, which allows us to calculate the probability a value within any interval. • This probabi ...
MAT 117
... 4) A license plate with 5 characters is being made. The first three must be letters (A – Z) and the last two must be numbers (0 – 9). How many different license plates are possible? 5) How many license plates would be possible (from problem 4) if the first two characters must be “AZ”? 6) Timmy has 3 ...
... 4) A license plate with 5 characters is being made. The first three must be letters (A – Z) and the last two must be numbers (0 – 9). How many different license plates are possible? 5) How many license plates would be possible (from problem 4) if the first two characters must be “AZ”? 6) Timmy has 3 ...
PPT
... • Disjoint (mutually exclusive) events: A and B are said to be disjoint if there are no outcomes common to both A and B. • The notation for this is written as A B • Note: The last symbol denotes the null set or the empty set. A ...
... • Disjoint (mutually exclusive) events: A and B are said to be disjoint if there are no outcomes common to both A and B. • The notation for this is written as A B • Note: The last symbol denotes the null set or the empty set. A ...
1332BinomialProbability.pdf
... Let's consider an example from meteorology. Consider a set of weather conditions such that a meteorologist can determine from past data that there exists a 30% chance for rain (a 0.3 probability for rain). What is the probability, that it will rain at most three times in ten instances of these weath ...
... Let's consider an example from meteorology. Consider a set of weather conditions such that a meteorologist can determine from past data that there exists a 30% chance for rain (a 0.3 probability for rain). What is the probability, that it will rain at most three times in ten instances of these weath ...
Section 4.4 The Multiplication Rules & Conditional Probability
... getting a queen An drawer contains 3 red socks, 2 blue socks, and 5 white socks. A sock is selected and its color is noted. A second sock is selected and its color noted. Being a lifeguard and getting a suntan Randomly selecting a TV viewer who is watching “Friends”. Randomly selecting a secon ...
... getting a queen An drawer contains 3 red socks, 2 blue socks, and 5 white socks. A sock is selected and its color is noted. A second sock is selected and its color noted. Being a lifeguard and getting a suntan Randomly selecting a TV viewer who is watching “Friends”. Randomly selecting a secon ...
Deterministic versus Probabilistic
... Example. Roll a die until it comes up ‘5’. Know that in each roll, a ‘5’ will come up with probability 1/6. Don’t know exactly when, but we can predict well. ...
... Example. Roll a die until it comes up ‘5’. Know that in each roll, a ‘5’ will come up with probability 1/6. Don’t know exactly when, but we can predict well. ...
1 - McNelis
... 1. I toss a penny and observe whether it lands heads up or tails up. Suppose the penny is fair, that is, the probability of heads is ½ and the probability of tails is ½. This means A) that every occurrence of a head must be balanced by a tail in one of the next two or three tosses B) that if I flip ...
... 1. I toss a penny and observe whether it lands heads up or tails up. Suppose the penny is fair, that is, the probability of heads is ½ and the probability of tails is ½. This means A) that every occurrence of a head must be balanced by a tail in one of the next two or three tosses B) that if I flip ...
Read the supplementary notes
... Example: Ask a random voter if they support candidate A. Outcomes = { yes, no}, with P (yes) = p and P (no)=1 − p. Note: In all the cases we carefully state how to run the repeatable experiment. Terms Sample space = set of possible outcomes = {x1 , x2 , . . . , xn }. Probability function, P (xj ) = ...
... Example: Ask a random voter if they support candidate A. Outcomes = { yes, no}, with P (yes) = p and P (no)=1 − p. Note: In all the cases we carefully state how to run the repeatable experiment. Terms Sample space = set of possible outcomes = {x1 , x2 , . . . , xn }. Probability function, P (xj ) = ...
5 Minute Check, 26 Sep
... • Probability – The likelihood that an event will happen • Sample Space – A list of all possible outcomes of a random event ...
... • Probability – The likelihood that an event will happen • Sample Space – A list of all possible outcomes of a random event ...
Probability
... sampling experiments conducted What is the probability of rolling a “3” on a single die? ...
... sampling experiments conducted What is the probability of rolling a “3” on a single die? ...
Algebra 1 Summer Institute 2014 Unit 5 – Probability Essential
... 1. Explain whether a given sampling technique is random 2. Use random sampling to draw an inference or answer a question 3. Explain the probability of events from a discrete probability distribution 4. Explain the probability of events from a continuous probability distribution 5. Determine the prob ...
... 1. Explain whether a given sampling technique is random 2. Use random sampling to draw an inference or answer a question 3. Explain the probability of events from a discrete probability distribution 4. Explain the probability of events from a continuous probability distribution 5. Determine the prob ...