Question

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

Binomial probability
Convert the binomial probability to a normal distribution probability using continuity correction. $$P(x > 14)$$.
$$P(x > 14)$$ 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: $$15,\ 16,\ 17,\ \cdots, n – 2,\ n – 1,\ n.$$ 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 $$x > 14.5/ P(x > 14.5)$$