Please, convert the binomial probability to a normal distribution probability using continuity correction.
P (x > 65).
P (x > 65)
There are more than 65 possible successes.
The discrete midpoint values are 66, 67, 68, … . The corresponding interval for the continuous normal distribution probability is x > 65.5.
Thus, the binomial probability P( x > 65) can be converted as P(x > 65.5).