2. According to data released by the North Carolina Department of Health & Human Services, 1.795% of NC African Americans who contracted COVID-19 did not survive. Of NC Caucasians who contracted the virus, 1.469% passed away. The Mecklenburg Health Department collected an SRS of 600 African Americans and another SRS of 700 Caucasians who had all been infected. Let P1 = the sample death rate of African Americans and p, = the sample death rate of Caucasians. %3D [Data collected from publicly available reports at covid19.nchhs.gov as of 1/3/21] A. Describe the shape of the sampling distribution of p1 – P2 · Justify your answer. B. Find the mean and standard deviation of the sampling distribution of p1 – P2. Interpret the standard deviation and be sure to check any relevant conditions. C. What is P(P1 - P2 > 0)? D. Interpret your answer to part C in context.
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.
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