Explain how to use the binomial distribution table when p, the probability of a success, exceeds 0.50
What will be an ideal response?
When p > 0.50, you have two options. The first option is to think in terms of failures rather than successes—for instance, if the sample size is n =10 and we originally want to find the probability of 3 successes when p = 0.70. Instead we can switch the problem around and instead of finding the probability of 3 successes, we can find the probability of 7 failures with the probability of a failure being p = 0.30. An alternative method is to use the q values at the bottom of each column (if the binomial distribution table being used has these values). Treat these as if they were the p values. Then locate the number of successes of interest in the right-hand column of the binomial table. Both methods will give the same result.
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