For the binomial distribution with the given values for n and p
-The probability that the number of correct answers is between 16 and 38 inclusive
A)The area between 16 and 38
B)The area between 16.5 and 37.5
C)The area between 15.5 and 38.5
D)The area between 15.5 and 37.5

Question

Quizplus · Accepted Answer

The correct answer is the area between 15.5 and 38.5 due to the continuity correction factor applied when approximating a binomial distribution (which is discrete) with a normal distribution (which is continuous). This approach adjusts for the discrete nature of binomial outcomes by extending the range by 0.5 units on each side of the desired outcomes.

For the Binomial Distribution with the Given Values for N