Let X Have a Binomial Distribution with Parameters N = $P ( 10 \leq X \leq 15 )$

Essay

Let X have a binomial distribution with parameters n = 25 and p. Calculate each of the following probabilities using the normal approximation (with the continuity correction) for the cases p = .5 and .6, and compare to the exact probabilities calculated from the cumulative binomial probabilities table available in your text.
a. $P ( 10 \leq X \leq 15 )$
b. $P ( X \leq 10 )$
c. $P ( X \geq 15 )$