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1. You roll a single fair die two times. a. Find the probablity of observing two even numbers. 0.25 b. Find the probability of rolling zero even numbers. 0.25

1. You roll a single fair die two times. a. Find the probablity of observing two even numbers. 0.25 b. Find the probability of rolling zero even numbers. 0.25

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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a m2_wa_Probablity_and_Counting Techniques (1) - Compatibility Mode Layout References Mailings Review View A- A- 三,三,。 11 AaBbCcDdEe AaBbCcD AaBbCcDdE AaBh AaBbCcDdEe AaBbCcDdEe x² Normal Heading 1 Heading 2 Title Subtitle Emphasis Module 2 Writing Assignment Questions: 1. You roll a single fair die two times. a. Find the probability of observing two even numbers. 0.25 b. Find the probability of rolling zero even numbers. 0.25 2. In a sample of college students, 100 live on campus, 60 live with family off campus, and 40 live in an apartment off campus. a. What is the probability a randomly selected student lives off campus? b. What type of probability (theoretical, empirical, or intuitive) did you use to determine your answer? 3. In a local high school with 500 students, there are 200 females, 100 sophomores, and 50 female sophomores. If we choose a student at random what is the probability we choose a female or sophomore? b. Find the probability a randomly selected student is a male or a sophomore. C. Find the probability a randomly selected student is a female and is not a sophomore a. 4. Thirty percent of students at a local college take statistics. Ninety percent of the students taking statistics at the college pass the course. What is the probability that a student will take statistics and pass the course? 5. What is the probability of an event that is impossible? 6. In how many ways can the 25 members of a 4H club select a president, a vice- president, and a treasurer? 7. Suppose that you roll two six-sided die. English (United States) O Focus MacBook Air 吕口 F3 F2 F4 F5 F7 F10 $ % & * 3 4 5 6 7 8 9 E
Transcribed Image Text:a m2_wa_Probablity_and_Counting Techniques (1) - Compatibility Mode Layout References Mailings Review View A- A- 三,三,。 11 AaBbCcDdEe AaBbCcD AaBbCcDdE AaBh AaBbCcDdEe AaBbCcDdEe x² Normal Heading 1 Heading 2 Title Subtitle Emphasis Module 2 Writing Assignment Questions: 1. You roll a single fair die two times. a. Find the probability of observing two even numbers. 0.25 b. Find the probability of rolling zero even numbers. 0.25 2. In a sample of college students, 100 live on campus, 60 live with family off campus, and 40 live in an apartment off campus. a. What is the probability a randomly selected student lives off campus? b. What type of probability (theoretical, empirical, or intuitive) did you use to determine your answer? 3. In a local high school with 500 students, there are 200 females, 100 sophomores, and 50 female sophomores. If we choose a student at random what is the probability we choose a female or sophomore? b. Find the probability a randomly selected student is a male or a sophomore. C. Find the probability a randomly selected student is a female and is not a sophomore a. 4. Thirty percent of students at a local college take statistics. Ninety percent of the students taking statistics at the college pass the course. What is the probability that a student will take statistics and pass the course? 5. What is the probability of an event that is impossible? 6. In how many ways can the 25 members of a 4H club select a president, a vice- president, and a treasurer? 7. Suppose that you roll two six-sided die. English (United States) O Focus MacBook Air 吕口 F3 F2 F4 F5 F7 F10 $ % & * 3 4 5 6 7 8 9 E
a m2_wa_Probablity_and Counting_Techniques (1) - Compatibility Mode ayout References Mailings Review View A2 三,三,后 AaBbCcDc AaBbCcDdE AaBh AaBbCcDdEe 11 A A AaßbCcDdEe AGBbCcDdEe AaBbC Heading 2 Subtitle Emphasis Sre e X, x2 II Heading 1 Title Normal A a. How many of the outcomes have a sum of 7? b. What is the probability of a sum of 7? 8. A southeast regional salesman has eight destinations that he must travel to this month: Atlanta, Raleigh, Charleston, Nashville, Jacksonville, Richmond, Mobile, and Jackson. How many different possible routes could he take? A sit-down restaurant has two types of appetizers: garden salad and buffalo wings. It has three entrees: Spaghetti, steak and chicken. And it offers three types of dessert: ice cream, cake and pie. 9. a. Draw a tree diagram to represent all the meals a customer can order at this restaurant. b. How many different meals can a customer order at this restaurant? 10. The probability that a student chosen at random from your class is a math major is 0.27. What is the probability that a student chosen at random from your class is not a math major? 11. In how many different ways can a person choose three movies to see in a theater playing 11 movies? Is this a permutation or combination? Explain your selection. 12. A scholar is choosing six books to take on vacation from a stack of 34. How many different combinations of books are there? 13. A seven-character computer password can be any three letters of the alphabet, followed by two numerical digits, followed by two more letters. The password not case sensitive and repeats are allowed. For example: AbC11aa is the same as abc1laa, How many different passwords are possible? 14. A hair salon did a survey of 354 customers regarding satisfaction with service and type of customer. A walk-in customer is one who has seen no ads and not been referred. The other customers either saw a TV ad or were referred to the salon (but not both). The results follow. Assume the sample represents the entire population of customers. Find the probability that a customer is English (United States) O Focus MacBook Air 80 F5 F8 F10 # $ % & * 3 4 5 6 7 8 9 E R Y
Transcribed Image Text:a m2_wa_Probablity_and Counting_Techniques (1) - Compatibility Mode ayout References Mailings Review View A2 三,三,后 AaBbCcDc AaBbCcDdE AaBh AaBbCcDdEe 11 A A AaßbCcDdEe AGBbCcDdEe AaBbC Heading 2 Subtitle Emphasis Sre e X, x2 II Heading 1 Title Normal A a. How many of the outcomes have a sum of 7? b. What is the probability of a sum of 7? 8. A southeast regional salesman has eight destinations that he must travel to this month: Atlanta, Raleigh, Charleston, Nashville, Jacksonville, Richmond, Mobile, and Jackson. How many different possible routes could he take? A sit-down restaurant has two types of appetizers: garden salad and buffalo wings. It has three entrees: Spaghetti, steak and chicken. And it offers three types of dessert: ice cream, cake and pie. 9. a. Draw a tree diagram to represent all the meals a customer can order at this restaurant. b. How many different meals can a customer order at this restaurant? 10. The probability that a student chosen at random from your class is a math major is 0.27. What is the probability that a student chosen at random from your class is not a math major? 11. In how many different ways can a person choose three movies to see in a theater playing 11 movies? Is this a permutation or combination? Explain your selection. 12. A scholar is choosing six books to take on vacation from a stack of 34. How many different combinations of books are there? 13. A seven-character computer password can be any three letters of the alphabet, followed by two numerical digits, followed by two more letters. The password not case sensitive and repeats are allowed. For example: AbC11aa is the same as abc1laa, How many different passwords are possible? 14. A hair salon did a survey of 354 customers regarding satisfaction with service and type of customer. A walk-in customer is one who has seen no ads and not been referred. The other customers either saw a TV ad or were referred to the salon (but not both). The results follow. Assume the sample represents the entire population of customers. Find the probability that a customer is English (United States) O Focus MacBook Air 80 F5 F8 F10 # $ % & * 3 4 5 6 7 8 9 E R Y
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