Docsity
Log inSign up
Docsity
Prepare for your exams
Prepare for your exams

Study with the several resources on Docsity

Earn points to download
Earn points to download

Earn points by helping other students or get them with a premium plan

Guidelines and tips
Guidelines and tips
Sell on Docsity
Sell on Docsity
Log inSign up

Prepare for your exams

Study with the several resources on Docsity

Find documents

Prepare for your exams with the study notes shared by other students like you on Docsity

Search Store documents

The best documents sold by students who completed their studies

Search through all study resources
Docsity AINEW

Summarize your documents, ask them questions, convert them into quizzes and concept maps

Explore questions

Clear up your doubts by reading the answers to questions asked by your fellow students

Earn points to download

Earn points by helping other students or get them with a premium plan

Share documents
download point icon20 Points

For each uploaded document

Answer questions
download point icon5 Points

For each given answer (max 1 per day)

All the ways to get free points
Get points immediately

Choose a premium plan with all the points you need

Study Opportunities

Choose your next study program

Get in touch with the best universities in the world. Search through thousands of universities and official partners

Community

Ask the community

Ask the community for help and clear up your study doubts

University Rankings

Discover the best universities in your country according to Docsity users

Free resources

Our save-the-student-ebooks!

Download our free guides on studying techniques, anxiety management strategies, and thesis advice from Docsity tutors

From our blog

Exams and Study
Go to the blog

MAT 112 Worksheet - Probability Distributions and Normal Distribution - Prof. Brad A. Emmo, Study Guides, Projects, Research of Statistics

Utica CollegeStatistics
Prof. Brad A. Emmons

A worksheet for a mathematics (mat) 112 class, focusing on probability distributions and normal distribution. It includes various problems related to finding areas under the standard normal distribution, converting x-values to z-values, and calculating probabilities of normally distributed continuous random variables. A real-life example using data from a 2002 study on college student debt is also provided.

Typology: Study Guides, Projects, Research

Pre 2010

Uploaded on 08/18/2009

koofers-user-rlv
koofers-user-rlv 🇺🇸

10 documents

1 / 2

Toggle sidebar

This page cannot be seen from the preview

Don't miss anything!

bg1
MAT 112 Worksheet
Wednesday, October 22, 2008
1. Find the area under the standard normal distribution between
(a) z=−.25 and z= 1.34
(b) z=.32 and z= 1.27
(c) z=−1.23 and z= 0
(d) z=−2.21 and z=−1.14
(e) z= 1.21 and z= 2.41
2. Let xbe a normally distributed continuous random variable with µ= 14 and σ= 3.
(a) Convert x= 21 to a z-value
(b) Convert x= 12 to a z-value
(c) Convert x= 16 to a z-value
pf2

Partial preview of the text

Download MAT 112 Worksheet - Probability Distributions and Normal Distribution - Prof. Brad A. Emmo and more Study Guides, Projects, Research Statistics in PDF only on Docsity!

1. Find the area under the standard normal distribution betweenMAT 112 Worksheet^ Wednesday, October 22, 2008

(a) z = −.25 and z = 1. 34 (b) z = .32 and z = 1. 27 (c) z = − 1 .23 and z = 0 (d) z = − 2 .21 and z = − 1. 14 (e) z = 1.21 and z = 2. 41

  1. Let(a) Convert x be a normally distributed continuous random variable with x = 21 to a z-value μ = 14 and σ = 3.

(b) Convert x = 12 to a z-value (c) Convert x = 16 to a z-value

  1. Let(a) Find x be a normally distributed continuous random variable with P (22 < x < 32) μ = 22 and σ = 7.

(b) Find P (10 < x < 22) (c) Find P (16 < x < 25) (d) Find P (24 < x < 30) (e) Find P (9 < x < 18)

  1. According to a 2002 study by the State Public Interest Research Group’s Higher Education Project,the average debt of graduating college seniors was $16Assuming that these data are normally distributed. , 928, with a standard deviation of $2, 521. (a) Find the probability that a randomly selected college student has debt between $18$20, 000. , 000 and (b) Find the probability that a randomly selected college students has debt less that $12, 000.