Psychology 281
... a) What is the probability that any randomly selected rat from the population will weigh between 285 and 298 grams? b) A researcher obtains 160 young male rats whose weights are normally distributed with a median of 315 grams. 140 of these 160 male rats are heavier than the average rat in the popula ...
... a) What is the probability that any randomly selected rat from the population will weigh between 285 and 298 grams? b) A researcher obtains 160 young male rats whose weights are normally distributed with a median of 315 grams. 140 of these 160 male rats are heavier than the average rat in the popula ...
Conditional Probability
... Conditional Probabilities P(S|Y)=? P(F|Y)=? P(S|T)=? P(F|T)=? P(S|C)=? P(F|C)=? ...
... Conditional Probabilities P(S|Y)=? P(F|Y)=? P(S|T)=? P(F|T)=? P(S|C)=? P(F|C)=? ...
Lecture Notes 7
... The equally likely approach usually relies on symmetry to assign probabilities to events ◦ As such, previous research or experiments are not needed to determine the probabilities Suppose that an experiment has only n outcomes The equally likely approach to probability assigns a probability of 1/ ...
... The equally likely approach usually relies on symmetry to assign probabilities to events ◦ As such, previous research or experiments are not needed to determine the probabilities Suppose that an experiment has only n outcomes The equally likely approach to probability assigns a probability of 1/ ...
1 - NEMCC Math/Science Division
... The first task can be done n1 ways The second task can be done n2 ways ...
... The first task can be done n1 ways The second task can be done n2 ways ...
April 6-10, 2015
... Inquiry Question: is it possible to use probability to predict the future? Why or why not? Unit Strands: Statistics and Probability Concepts: Probabilities, likelihood, event, ratio, trials, frequency, outcomes, experimental probability, theoretical probability, simple events, compound events, sampl ...
... Inquiry Question: is it possible to use probability to predict the future? Why or why not? Unit Strands: Statistics and Probability Concepts: Probabilities, likelihood, event, ratio, trials, frequency, outcomes, experimental probability, theoretical probability, simple events, compound events, sampl ...
5.2 full notes
... • Compliment rule: For any event A, P(Ac) = 1 – P(A) • Addition rule: If A and B are disjoint events, then P(A or B ) = P(A) + P(B) If A and B are NOT disjoint events, then P(A or B ) = P(A) + P(B) – P (A ∩ B ) ...
... • Compliment rule: For any event A, P(Ac) = 1 – P(A) • Addition rule: If A and B are disjoint events, then P(A or B ) = P(A) + P(B) If A and B are NOT disjoint events, then P(A or B ) = P(A) + P(B) – P (A ∩ B ) ...
Independence
... • Formal versus intuitive notion of independence: When working problems, always use the above formal mathematical definitions of independence and conditional probabilities. While these definitions are motivated by our intuitive notion of these concepts and most of the time consistent with what our i ...
... • Formal versus intuitive notion of independence: When working problems, always use the above formal mathematical definitions of independence and conditional probabilities. While these definitions are motivated by our intuitive notion of these concepts and most of the time consistent with what our i ...
Ars Conjectandi
Ars Conjectandi (Latin for The Art of Conjecturing) is a book on combinatorics and mathematical probability written by Jakob Bernoulli and published in 1713, eight years after his death, by his nephew, Niklaus Bernoulli. The seminal work consolidated, apart from many combinatorial topics, many central ideas in probability theory, such as the very first version of the law of large numbers: indeed, it is widely regarded as the founding work of that subject. It also addressed problems that today are classified in the twelvefold way, and added to the subjects; consequently, it has been dubbed an important historical landmark in not only probability but all combinatorics by a plethora of mathematical historians. The importance of this early work had a large impact on both contemporary and later mathematicians; for example, Abraham de Moivre.Bernoulli wrote the text between 1684 and 1689, including the work of mathematicians such as Christiaan Huygens, Gerolamo Cardano, Pierre de Fermat, and Blaise Pascal. He incorporated fundamental combinatorial topics such as his theory of permutations and combinations—the aforementioned problems from the twelvefold way—as well as those more distantly connected to the burgeoning subject: the derivation and properties of the eponymous Bernoulli numbers, for instance. Core topics from probability, such as expected value, were also a significant portion of this important work.