2. Professor Fagan teaches Monday-Friday (i.e., 5 days of the week), and suppose that with probability .2he is late to class on a given day.(a) What is the probability that, on a given day, professor Fagan is on time to class?(b) What is the probability that, in a given week, professor Fagan is late to class at least once?

Given Information: Professor teaches 5 days a week i.e., Monday to Friday. Probability that he is…

Answered: 2. Professor Fagan teaches…

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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For this problem, assume that 11 % withdraw, 14 % receive an A, 18 % receive a B, 35 % receive a C, 14 % receive a D, and 8 % receive an F. (1) What probability should be assigned to the event "pass the course"? (2) What probability should be assigned to the event "withdraw or fail the course"?
The probabilities that a service station will pump gas into 0, 1, 2, 3, 4, or 5 or more cars during a certain 30-minute period are 0.03, 0.18, 0.24, 0.28, 0.10, and 0.17, respectively. Find the probability that in this 30-minute period (a) more than 2 cars receive gas; (b) at most 4 cars receive gas; (C) 4 or more cars receive gas
11. The probability that Adam goes to play basketball on any day is 3/3.3 5 a day when he plays basketball, the probability that Adam has burgers 3 is On the day he does not play basketball, the probability he has 8 burgers 3 11 (a) Find probability that Adam has burgers on any day. (b) Adam has burgers on that day. What is the probability he plays basketball? On (c) Determine whether the events play and does not play basketball mutually exclusive. (d) Determine whether the events play basketball and has burgers independent.
Kristina Karganova invites 17 relatives to a party: her mother, 4 aunts, 3 uncles, 4 brothers, 1 male cousin, and 4 female cousins. If the chances of any one guest arriving first are equally likely, find the probabilities that the first guest to arrive is as follows. (a) A brother or an uncle (b) A brother or a cousin (c) A brother or her mother COD (a) Find the probability that the first guest to arrive is a brother or an uncle. (Type an integer or a simplified fraction.) (b) Find the probability that the first guest to arrive is a brother or a cousin.
Suppose that an employee arrives late 15% of the time, leaves early 25% of the time, and both arrives late and leaves early 5% of the time. What is the probability that on a given day that employee will either arrive late or leave early (or both)? O 0.35 O 0.25 O None of these O 0.45
Suppose that ina certain small town it either rains or is sunny every day. A meteorologist notes that when it is sunny in this town, it will be sunny the next day with probability 0.6. If it rains, it will be sunny the next day with probability 0.7. Answer the following questions: 1. What is the probability that it will rain the next day if it was sunny the previous day?
Suppose that 30% of people have a dog, 17% of people have a cat, and 10% of people own both. What is the probability that someone owns a dog or a cat? The probability of a person having a dog or a cat is (Type an integer or a decimal.)
Given the probability that "she's up all night 'til the sun" OR "she's up all night for good fun" is 0.38, the probability that "she's up all night for good fun" is 0.44, and the probability that "she's up all night 'til the sun" is 0.33, what's the probability that "she's up all night 'til the sun" AND "she's up all night for good fun"? Round to 2 decimal places as needed.
4. Teddy lives life on the edge and gets dressed randomly every morning. This morning, he is randomly choosing a pair of shoes, a pair of pants, and a shirt from his closet which contains the following colors and corresponding quantities: Shoes: black (2) and brown (3) Pants: black (3) and brown (1) Shirt: white (2), brown (4) and black (6) What is the probability that Teddy randomly chooses shoes, pants and a shirt of the same color? A. 1/5 В. 2/5 С. 120 A B C D D. 3/20
An airline claims that there is a 0.10 probability that a coach-class ticket holder who flies frequently will be upgraded to first class on any flight. This outcome is independent from flight to flight. Sam is a frequent flier who always purchases coach-class tickets. What is the probability that Sam’s first upgrade will occur after the third flight? What is the probability that Sam will be upgraded exactly 2 times in his next 20 flights? Sam will take 104 flights next year. Would you be surprised if Sam receives more than 20 upgrades to first class during the year? Justify your answer.
Assume that each born child is equally likely to be a boy or a girl. If a family has two children, what is the conditional probability that both are girls given that (1) the youngest is a girl, (ii) at least one is a girl?

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