Twenty-five psychology instructors have formed a committee to pick next year's textbook, and they have narrowed their decision down to two equally good books, one with a better bibliography and references, and the other with a better format and illustrations. Since the books are considered to be equally good, we will assume the probability an instructor chooses either book is 0.5 and the instructors' decisions are made independently.
Using the binomial distribution, find the probability 15 or more instructors choose the book with the better format and illustrations.
______________
Use the normal approximation to the binomial to find the probability 15 or more instructors choose the book with the better format and illustrations.
______________
Compare the results in parts (a) and (b). Is the normal approximation a good approximation?
______________

Question

Quizplus · Accepted Answer

The Answer of Twenty-five psychology instructors have formed a committee to pick next year's textbook, and they have narrowed their decision down to two equally good books, one with a better bibliography and references, and the other with a better format and illustrations. Since the books are considered to be equally good, we will assume the probability an instructor chooses either book is 0.5 and the instructors' decisions are made independently.
Using the binomial distribution, find the probability 15 or more instructors choose the book with the better format and illustrations.
______________
Use the normal approximation to the binomial to find the probability 15 or more instructors choose the book with the better format and illustrations.
______________
Compare the results in parts (a) and (b). Is the normal approximation a good approximation?
______________

Twenty-Five Psychology Instructors Have Formed a Committee to Pick Next