The following contingency table classifies institutions of higher education in the United States by region and type. Suppose an institution of higher education is selected at random. Determine the probability the institution obtained Public | Private | Total (a) Is in the northeast? Northeast 266 555 821 (b) Is in the northeast, given that it is a private school? Midwest 359 504 863 (c) Is a private school, given that it is in the northeast? South 533 502 1035 (d) A public school and in the Midwest? West 313 242 555 (e) A public school or in the Midwest Total 1471 1803 3274 (f) A public school?

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Confidence Intervals

When we calculate intervals in probability and statistics, it can be simply termed as finding out a confidence interval. The confidence interval is usually calculated from the data set which is observed. The value of the parameter that needs to be calculated is present here only.