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There being 365 days in a year and 50 being less than 365 therefore 2 even far less than that the chances are virtually 0. ______________________ Assume that all 366 days (including leap day) are equally likely to be a person's birthday. The probability that none of them share a birthday is 1*P(second person selected doesn't share a birthday with first person selected)*P(third person selected doesn't share a birthday with first or second person selected)*...*P(fiftieth person selected doesn't share a birthday with the first, second, third,...,forty-ninth person selected). P(second person selected doesn't share a birthday with first person selected) = 365/366 P(third person selected doesn't share a birthday with first or second person selected)=364/366 . . . P(fiftieth person selected doesn't share a birthday with the first, second, third,...,forty-ninth person selected)=317/366 P(none share a birthday)=(365/366)*(364/366)*...*(317/366), which is approximately .0299. P(at least two share a birthday) = 1-(365/366)*(364/366)*...*(317/366)=1-.0299=.9701 = 97.01%.
Stratified Random Sampling: obtained by separating the population into mutually exclusive (only belong to one set) sets, or stratas, and then drawing simple random samples (a sample selected in a way that every possible sample with the same number of observation is equally likely to be chosen) from each stratum.
likely and unlikely
Grammatically - 'twice as likely' is the correct form.
A likely event, mathematically, is more then 50% likely to happen. An unlikely event is less then 50% likely to happen.
a is selected by 63 out of 287 - a rate of 63/287. b is selected at a rate of 23/301. Selection rate for a/selection rate for b = (63/287)/(23/301) = 0.2195/0.0764 = 2.8727 Ie a is likely to be selected 2.8727 times as often as b, or a is 1.8727 times more likely to be selected.
Eliezer's father avoids being selected at Gleiwitz by lying about his age and saying he is younger than he is. This allows him to be placed in a group that is less likely to be chosen for work detail or further selection.
There are three patterns of natural selection. 1) Disruptive selection: this is when the two extreme forms of a trait are selected for and intermediate forms are selected against. For example plants which can tolerate heavy metal ions are at an advantage on old spoil tips, whereas those which cannot tolerate these ions are at an advantage on uncontaminatied soil. 2) Stabilizing selection: this is when the intermediat forms are selected for and the extreme forms are selected against. A classic example is birth weight in humans. Babies which are much heavier or much lighter than average are more likely to die than average weight babies. 3) Directional selection:this is when one extreme is selected for and the other extreme is selected against. For example in Darwin's finches on the Galapagos Islands, during a drought larger birds with larger beaks are favoured over smaller birds with smaller beaks. See: http://users.rcn.com/jkimball.ma.ultranet/BiologyPages/E/Evolution.html http://www.evotutor.org/Selection/Sl5A.html
Disruptive Selection
When legislators appoint judges a person from which group is more likely to be selected by a member of the legal profession.
natural selection
natural selection
Dolphins.
natural selection
Seratonin systems
Organisms that have behaviors that encourage reproduction would be more likely to reproduce.
It is an example of Natural Selection, Modern Theories of Evolution.