A true/false test has 100 questions.Using the normal approximation to the binomial distribution,what is the probability of getting more than 55 correct by just guessing?
A)p(X 55)
B)p(X 55.5)
C)p(X 54.5)
D)p(X 45)

Question

A true/false test has 100 questions.Using the normal approximation to the binomial distribution,what is the probability of getting more than 55 correct by just guessing?​
A)​p(X > 55)
B)​p(X > 55.5)
C)​p(X > 54.5)
D)​p(X > 45)

Quizplus · Accepted Answer

When using the normal approximation to the binomial distribution for discrete data, a continuity correction is applied. Since the question asks for "more than 55," we adjust this to "more than 55.5" to account for the discrete nature of the original binomial distribution. This ensures that we are including all possible outcomes greater than 55 when converting to the continuous normal distribution.

A True/false Test Has 100 Questions