Private nonprofit four-year colleges charge, on average, $27,915 per year in tuition and fees. The standard deviation is $7,105. Assume the distribution is normal. Let X be the cost for a randomly selected college. Round all answers to 4 decimal places where possible. a. What is the distribution of X? X ~ N( b. Find the probability that a randomly selected Private nonprofit four-year college will cost less than 25,000 per year. c. Find the 63rd percentile for this distribution. $ (Round to the nearest dollar.)

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
icon
Related questions
Question

Private nonprofit four-year colleges charge, on average, $27,915 per year in tuition and fees. The standard deviation is $7,105. Assume the distribution is normal. Let X be the cost for a randomly selected college. Round all answers to 4 decimal places where possible.

 

Private nonprofit four-year colleges charge, on average, $27,915 per year in tuition and fees. The
standard deviation is $7,105. Assume the distribution is normal. Let X be the cost for a randomly
selected college. Round all answers to 4 decimal places where possible.
a. What is the distribution of X? X - N(
b. Find the probability that a randomly selected Private nonprofit four-year college will cost less than
25,000 per year.
c. Find the 63rd percentile for this distribution. $
(Round to the nearest dollar.)
Transcribed Image Text:Private nonprofit four-year colleges charge, on average, $27,915 per year in tuition and fees. The standard deviation is $7,105. Assume the distribution is normal. Let X be the cost for a randomly selected college. Round all answers to 4 decimal places where possible. a. What is the distribution of X? X - N( b. Find the probability that a randomly selected Private nonprofit four-year college will cost less than 25,000 per year. c. Find the 63rd percentile for this distribution. $ (Round to the nearest dollar.)
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 3 steps with 3 images

Blurred answer
Recommended textbooks for you
Glencoe Algebra 1, Student Edition, 9780079039897…
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill