Question

State University has no honors English course but instead places all freshman scoring at least 60 on a proficiency exam (mean=50, standard deviation=10) into an advanced composition course. If the scores are normally distributed and there are 2,500 entering freshman, how many will be put into the advanced course?

Answer 1

that put into the advanced course is 396.75

Explanation:

The computation of that put into the advanced course is shown below:

P(X>60)

= P((X - mean) ÷ s > (60 - 50) ÷ 10)

= P (Z > 1)

= 0.1587

It could be checked by the standard normal table

Now that put into the advance course is

= 2,500 × 0.1587

= 396.75

Hence, that put into the advanced course is 396.75