Convert the binomial probability to a normal distribution probability using continuity correction. P(x > 14).

Question
Binomial probability
asked 2021-01-13
Convert the binomial probability to a normal distribution probability using continuity correction. P(x > 14).

Answers (1)

2021-01-14
P(x > 14) Let a binomial random variable be denoted by x The probability that there are more than 14 successes of the event is denoted by P(x > 14) The possible discrete midpoint values for the given binomial distribution range from: 15, 16, 17, …, n – 2, n – 1, n. In order to convert these values to a continuous interval, we have to do a continuity correction and move 0.5 unit to either side of the discrete midpoint value to include all possible x values. Thus, the corresponding interval for the continuous normal distribution is x > 14.5/ P(x > 14.5)
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