   # Worksheet 5: Probability II

Satisfactory Essays
Worksheet 5 (Chapter 3): Probability II
Name: ______________________________________________

Section: _________________________

For any of the following questions be sure to show appropriate work and give appropriate probability statements. 1. Students taking the Graduate Management Admissions Test (GMAT) were asked about their undergraduate major and intent to pursue their MBA as a full-time or part-time student. A summary of their responses follows.

Intended
Enrollment
Status

Full-Time
Part-Time
Totals

Engineering
352
197
150
161
502
358

Other
251
194
445

Totals
800
505
1305

a. If a student intends to attend classes full-time in pursuit of an MBA degree, what is the probability that the student was an undergraduate engineering major?
P(Engineering | full-time) = 197/800 = 0.2463

b. If a student was an undergraduate business major, what is the probability that the student intends to attend classes full-time in pursuit of an MBA degree?

P(full time | business) = 352/502 = 0.7012

c. Let A denote the event that the student intends to attend classes full-time in pursuit of an MBA degree, and let B denote the event that the student was an undergraduate business major. Are events
A and B independent? Justify your answer.

Can use either method
P(A) = 800/1305 = 0.6130
P(A) = 800/1305 = 0.6130
P(A|B) = 352/502 = 0.7012
P(B) = 502/1305 = 0.3847
P(A and B) = 352/1305 = 0.2697
P(A) ≠ P(A|B) therefore A and B are not
P(A)P(B) = 0.6130 x 0.3847 = 0.2358 independent P(A)P(B) ≠ P(A and B) therefore A and B are
Also works for P(B) ≠ P(B|A) not indepedent

2. Jamal Crawford of the National Basketball Association’s Portland Trail Blazers is the best free-throw shooter on the team, making 93% of his shots (ESPN website, April 5, 2012). Assume shots are independent and that late in a basketball game, Jamal Crawford is fouled and is awarded two shots.
a. What is the

## You May Also Find These Documents Helpful

• Satisfactory Essays

Lab 14 Worksheet (52 points) Exercise 14.1 1. How can you find out which port Windows Firewall opened up on NYC-CLb? (4 points) Exercise 14.1 step 18 Take a screen shot of the Add or Remove Snap-ins dialog box, showing the two Event Viewer instances you added, by using the Snipping tool. (4 points) Exercise 14.2 2. When using Remote Assistance, why might it be necessary to impose a time limit on the invitation? (5 points) Exercise 14.3 Exercise 14.3 step 15 Take a screen shot of…

• 289 Words
• 2 Pages
Satisfactory Essays
• Satisfactory Essays

Probability 1.) AE-2 List the enduring understandings for a content-area unit to be implemented over a three- to five- week time period. Explain how the enduring understandings serve to contextualize (add context or way of thinking to) the content-area standards. Unit: Data and Probability Time: 3 weeks max Enduring Understanding: “Student Will Be Able To: - Know what probability is (chance, fairness, a way to observe our random world, the different representations)  - Know what the…

• 496 Words
• 2 Pages
Satisfactory Essays
• Good Essays

PROBABILITY DISTRIBUTION In the world of statistics, we are introduced to the concept of probability. On page 146 of our text, it defines probability as "a value between zero and one, inclusive, describing the relative possibility (chance or likelihood) an event will occur" (Lind, 2012). When we think about how much this concept pops up within our daily lives, we might be shocked to find the results. Oftentimes, we do not think in these terms, but imagine what the probability of us getting behind…

• 1089 Words
• 5 Pages
Good Essays
• Good Essays

QMT200 CHAPTER 3: PROBABILITY DISTRIBUTION 3.1 RANDOM VARIABLES AND PROBABILITY DISTRIBUTION Random variables is a quantity resulting from an experiment that, by chance, can assume different values. Examples of random variables are the number of defective light bulbs produced during the week and the heights of the students is a class. Two types of random variables are discrete random variables and continuous random variable. 3.2 DISCRETE RANDOM VARIABLE A random variable is called…

• 612 Words
• 3 Pages
Good Essays
• Satisfactory Essays

Fiver Finger Rule Worksheet Estimation Duration: 30 minutes Differentiation: Visual Learners: Provide picture and photo books Auditory Learners: Provide books with more complex language and sentences Tactile/Kinesthetic Learners: Provide textured or hardbound books Below…

• 517 Words
• 3 Pages
Satisfactory Essays
• Good Essays

Probability 2 Theory Probability theory is the branch of mathematics concerned with probability, the analysis of random phenomena. (Feller, 1966) One object of probability theory is random variables. An individual coin toss would be considered to be a random variable. I predict if the coin is tossed repeatedly many times the sequence of it landing on either heads or tails will be about even. Experiment The Experiment we conducted was for ten students to flip a coin one hundred times…

• 287 Words
• 2 Pages
Good Essays
• Satisfactory Essays

Lab #5 – Assessment Worksheet Apply Hardened Security for Linux Services & Applications 1. When configuring services, what Linux directory typically contains server configuration files? /etc 2. What command disables remote access to the MySQL Database? Is this a security hardening best practice? Bind-address=YOUR-SERVER-IP, If you don 't need remote access, then binding should be considered a best practice. 3. What is a Linux runlevel for a specific service of application? What command allows you…

• 316 Words
• 1 Page
Satisfactory Essays
• Powerful Essays

Introduction Objectives PROBABILITY 2.2 Some Elementary Theorems 2.3 General Addition Rule 2.4 Conditional Probability and Independence 2.4.1 Conditional Probability 2.4.2 Independent Events and MultiplicationRule 2.4.3 Theorem of Total Probability and Bayes Theorem 2.5 Summary 2.1 INTRODUCTION You have already learnt about probability axioms and ways to evaluate probability of events in some simple cases. In this unit, we discuss ways to evaluate the probability of combination of events…

• 5874 Words
• 24 Pages
Powerful Essays
• Good Essays

Date _________________________ Multiplication Rule of Probability - Independent Practice Worksheet Complete all the problems. 1. Holly is going to draw two cards from a standard deck without replacement. What is the probability that the first card is a king and the second card is an ace? 2. Thomas has a box with 4 black color bottles and 8 gray color bottles. Two bottles are drawn without replacement from the box. What is the probability that both of the bottles are gray? 3. A jar contains…

• 434 Words
• 2 Pages
Good Essays
• Good Essays

Associate Program Material DNA Worksheet Answer the following in at least 100 words: 1. Describe the structure of DNA. * * There has been a major effort in the history of science to figure out the structure of DNA. Having a double standard helix DNA has a uniform a diameter in its entire length. The helixes fit within a defined three dimensional space because they are both right handed. Polynucleotide chains are held together by the bases in the (center) hydrogen bonding…

• 577 Words
• 3 Pages
Good Essays