Calculations Using the Binomial Tables for p Greater than 0.5

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Many binomial tables onlytabulate symmetries up to 0.5. This does not mean we cannot use thebinomial tables for any value of p greater than 0.5 – only thatsome manipulation is involved. The manipulation rests onthatrepresentsthe probability of success in most textbooks.thenrepresents the probability of failure. Ifthenandwe can use the tables with values of

Suppose we havewithandwe want to findIfthere areorless successes inattempts,then there must beormore failures. We can represent the distribution of the number offailures in n attempts aswiththenwe find Wecan look upinthe binomial tables so find

Suppose with the samedistribution that we want to findThereareormore successes soorless failures. As before model the number of failures bythenWecan look upinthe binomial tables.