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)