Question

Suppose the test scores for a college entrance exam are normally distributed with a mean of 450 and a s. d. of 100.
a. What is the probability that a student scores between 350 and 550?

b. If the upper 3% scholarship, what score must a student receive to get a scholarship?

c. Find the 60th percentile of the test scores.

d. Find the middle 30% of the test scores.

Answer 1

a) Let X denotes score of a randomly selected student for a college entrance exam.

Here,

X ~ Normal(450, 1002)

a) The probability that a student scores between 350 and 550

b)

c)

d)