Sample surveys show that more people are tracking changes in their health on paper, spreadsheet, mobile device, or just "in their heads." A survey asked a nationwide random sample of 3014 adults, "Now thinking about your health overall, do you currently keep track of your own weight, diet, or exercise routine, or is this not something you currently do?" The population that the poll wants to draw conclusions about is all U.S. residents aged 18 or over. Suppose that, in fact, 61% of all adult U.S. residents would say "Yes" if asked this question. Using Table A, find the (approximate) probability that 1900 or more adults in the sample say "Yes." (Enter your answer rounded to four decimal places.)
Permutations and Combinations
If there are 5 dishes, they can be relished in any order at a time. In permutation, it should be in a particular order. In combination, the order does not matter. Take 3 letters a, b, and c. The possible ways of pairing any two letters are ab, bc, ac, ba, cb and ca. It is in a particular order. So, this can be called the permutation of a, b, and c. But if the order does not matter then ab is the same as ba. Similarly, bc is the same as cb and ac is the same as ca. Here the list has ab, bc, and ac alone. This can be called the combination of a, b, and c.
Counting Theory
The fundamental counting principle is a rule that is used to count the total number of possible outcomes in a given situation.
Sample surveys show that more people are tracking changes in their health on paper, spreadsheet, mobile device, or just "in their heads." A survey asked a nationwide random sample of 3014 adults, "Now thinking about your health overall, do you currently keep track of your own weight, diet, or exercise routine, or is this not something you currently do?" The population that the poll wants to draw conclusions about is all U.S. residents aged 18 or over. Suppose that, in fact, 61% of all adult U.S. residents would say "Yes" if asked this question.
Using Table A, find the (approximate) probability that 1900 or more adults in the sample say "Yes." (Enter your answer rounded to four decimal places.)
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