Each of the digits in a raffle is thought to have the same chance of occurrence. The table shows the frequency of each digit for consecutive drawings in a California lottery. Perform the chi-square test to see if you reject the hypothesis at the 0.05 significance level that the digits are from a uniform population. Digit Frequency Digit Frequency 24 44 1 32 6 31 23 7 27 3 27 8. 28 4. 23 21 picture Click here for the Excel Data File a. State the decision rule. Use 0.05 significance level. (Round your answer to 3 decimal places.) Ho: The digits are uniformly distributed. H: The digits are not uniformly distributed.

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A: Read a print book 2015 2018 total Yes 1195 1372 2567 No 726 605 1331 total 1921 1977

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A:

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Q: Part a though c. Thank you!

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A: Given :  n = 900  p = 0.06

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A:

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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.