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Statistics

Statistics deals with collecting, organizing, and interpreting numerical data. An important aspect of statistics is the analysis of population characteristics inferred from sampling.

36,756 Questions

Why is a chi-squared test for qualitative data always right-tailed?

A chi square is square of standard normal variate, so all values are positive

How many 5 digits numbers can be formed from numbers 1 through 9?

9!/(5! x 4!) = (9 x 8 x 7 x 6) / (4 x 3 x 2) =126 if all digits have to be different.

If repeated digits are allowed then it is 95 ie 59049.

How many combinations are there for numbers 4 and 3 and 2?

If the order matters (234 is different from 243), then there are 6 possible arrangements.

If the order doesn't matter (234 and 243 are the same batch), then there's only one.

Can Probabilities take on negative values only when the events are occurring less than 50 percent of the time?

Probabilities can never be negative. A probability distribution is defined as follows:

  1. Every event has a probability of occurring between 0 and 1, inclusive.
  2. The sum of the probabilities of each event occurring is 1.

You are an 8-digit number the digit in the thousands place is the result of dividing 64 by 8?

No, the digit in that position will arise from a whole range of possibilities. If N is a (integer) number taken at random then the number in the thousands place could be anything equally. In particular, if you divide 88888888 by 8 the digit in the thousands place comes from dividing 8 by 8.

64/8 is 8 so that is the digit in the thousands position. So you could have any one of numbers like xxxx8xxx where each x could be any digit, eg 11118111, 12348765, etc.