
Handout 4
... Suppose that you roll a die once. There will be 6 possible outcomes; you may get either 1, 2, 3, 4, 5 or 6. These possible outcomes of such a random experiment are called the basic outcomes. The set of all basic outcomes is called the sample space. The symbol S will be used to denote the sample spac ...
... Suppose that you roll a die once. There will be 6 possible outcomes; you may get either 1, 2, 3, 4, 5 or 6. These possible outcomes of such a random experiment are called the basic outcomes. The set of all basic outcomes is called the sample space. The symbol S will be used to denote the sample spac ...
Probability - Iroquois Central School District / Home Page
... A drawer contains 3 red paperclips, 4 green paperclips, and 5 blue paperclips. One paperclip is taken from the drawer and then replaced. Another paperclip is taken from the drawer. What is the probability that the first paperclip is red and the second paperclip is blue? ...
... A drawer contains 3 red paperclips, 4 green paperclips, and 5 blue paperclips. One paperclip is taken from the drawer and then replaced. Another paperclip is taken from the drawer. What is the probability that the first paperclip is red and the second paperclip is blue? ...
P(H | B)
... no reason to believe Fred treats one bowl differently from another, likewise for the cookies. The cookie turns out to be a plain one. How probable is it that Fred picked it out of bowl #1? Intuitively, it seems clear that the answer should be more than a half, since there are more plain cookies in b ...
... no reason to believe Fred treats one bowl differently from another, likewise for the cookies. The cookie turns out to be a plain one. How probable is it that Fred picked it out of bowl #1? Intuitively, it seems clear that the answer should be more than a half, since there are more plain cookies in b ...
Section 8.1 Properties of Probability
... In example 1 above, the argument can be made even more formally: S is the sample space (the universe) of outcomes of flipping a coin: S = {t , h} , where h = heads and t = tails. The event we are interested in is “heads”, or formally, a subset of the sample space E = {h} . Since there is just one el ...
... In example 1 above, the argument can be made even more formally: S is the sample space (the universe) of outcomes of flipping a coin: S = {t , h} , where h = heads and t = tails. The event we are interested in is “heads”, or formally, a subset of the sample space E = {h} . Since there is just one el ...
Chapter 1 – Statistics
... a) scatterplot to look for linear trend relationship b) Pearson correlation coefficient to measure direction and strength of linear trend c) regression equation and line of best fit to the data – predicting value of dependent variable for a given value of the independent variable Chapter 4 – Probabi ...
... a) scatterplot to look for linear trend relationship b) Pearson correlation coefficient to measure direction and strength of linear trend c) regression equation and line of best fit to the data – predicting value of dependent variable for a given value of the independent variable Chapter 4 – Probabi ...
a n ) =0+…+ - s3.amazonaws.com
... different binary expansions. • There are two expansions for the same number if it is a rational number with denominator a power of 2. The mapping from these numbers to bit sequence is not well-defined. • So, we use the convention that we choose the one with terminating zeros. • Anyway, this happens ...
... different binary expansions. • There are two expansions for the same number if it is a rational number with denominator a power of 2. The mapping from these numbers to bit sequence is not well-defined. • So, we use the convention that we choose the one with terminating zeros. • Anyway, this happens ...
Slide 1
... Discrete sample spaces deal with data that can take on only certain values. These values are often integers or whole numbers. Dice are good examples of finite sample spaces. Finite means that there is a limited number of outcomes. Throwing 1 die: S = {1, 2, 3, 4, 5, 6}, and the probability of each e ...
... Discrete sample spaces deal with data that can take on only certain values. These values are often integers or whole numbers. Dice are good examples of finite sample spaces. Finite means that there is a limited number of outcomes. Throwing 1 die: S = {1, 2, 3, 4, 5, 6}, and the probability of each e ...
random_sampling_probability
... not invariant. Every second some minors turn into adults and every second some seniors die. The probability keeps changing: 1/1011, 1/999, ...
... not invariant. Every second some minors turn into adults and every second some seniors die. The probability keeps changing: 1/1011, 1/999, ...
Chapter 2. SAMPLE SPACES WITH NO STRUCTURE
... of mutually exclusive and exhaustive events A1, A2, . . . , Ak , rather than just two such events (A and A). Further extension to multi-stage experiments: at stage 1, one of A1, A2, . . . , Ak occurs; at stage 2, one of B1, B2, . . . , Bj occurs; at stage 3, 4, . . . at stage n, some event N may occ ...
... of mutually exclusive and exhaustive events A1, A2, . . . , Ak , rather than just two such events (A and A). Further extension to multi-stage experiments: at stage 1, one of A1, A2, . . . , Ak occurs; at stage 2, one of B1, B2, . . . , Bj occurs; at stage 3, 4, . . . at stage n, some event N may occ ...
probability - People Server at UNCW
... to establish this mathematically requires some higher level math… So we’ll think of the mean of a continuous r.v. in this way. For a discrete r.v., we’ll compute the mean (or expected value) as a weighted average of the values of X, the weights being the corresponding probabilities. E.g., the mean # ...
... to establish this mathematically requires some higher level math… So we’ll think of the mean of a continuous r.v. in this way. For a discrete r.v., we’ll compute the mean (or expected value) as a weighted average of the values of X, the weights being the corresponding probabilities. E.g., the mean # ...