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?

that put into the advanced course is 396.75

Step-by-step 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