Answer to Question #325430 in Statistics and Probability for Nica

Question

Find each of the following percentile points and draw the appropriate normal

curve. Complete your procedures.

1.The results of the entrance examination for freshmen are normally distributed

with 𝑥 = 87 and 𝑠 = 12.5. What is the percentile rank of a score of 90?

Answer 1

$P(X>90)=1-P(Z<\frac{90-87}{12.5})=1-P(Z<0.24)=1-0.5948=0.4052$