13. Two employees on a university campus, Michael from Plant Operations, andJordan from Public Safety, are assigned to check that a certain building on thecampus is locked over the weekends. Suppose that on any weekend the probabilitythat Michael checks is 0.96, that Jordan checks is 0.98, and that they both check is0.95. What is the probability that neither Michael nor Jordan check on a weekend?

Let there are two events. The occurrence of either one of them is called the occurrence of the union…

Answered: 13. Two employees on a university…

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...

See similar textbooks

Similar questions

A red ball and 19 white balls are in a box. If two balls are drawn, without replacement, what is the probability of getting a red R ball on the first draw and a white W ball on the second? Pr(R first Pr(R first w second) = 20 W second) = 13 18 19 Pr(R first W second) = 20 9 Pr(R first W second) = 20 Pr(R first W second) = 1
1. Many fire stations handle emergency calls for medical assistance as well as those requesting firefighting equipment. A particular station says that the probability that an incoming call is for medical assistance is 0.72. This can expressed as P(call is for medical assistance) = 0.72. Assume each call is independent of other calls. a) Interpret the probability that an incoming call is for medical assistance. b) What is the probability that none of the next four calls are for medical assistance. c) You want to estimate the probability that exactly three of the next four calls are for medical assistance. Describe how you would use the table of random digits to simulate this probability. (Remember that after reaching 4 different numbers, check for exactly 3 calls for medical assistance, then repeat)
A website reports that 70% of its users are from outside a certain country, and 60% of its users log on the website every day. Suppose that for its users from inside the country, that 80% of them log on every day. What is the probability that a person is from the country given that he logs on the website every day? Has the probability that he is from the country increased or decreased with the additional information?
Two students agree to meet at the Science Library between 7pm to 8pm next evening.They also agree that the student arriving first will wait until this student waits for half an hour.What is the probability that they will meet if they arrive at the Science Library between 7pm to8pm next evening randomly?
Suppose that it is equally likely for a child to be a boy or a girl. Suppose a parent tells you that she or he has 6 children. What is the probability that at least one is a boy given that at least 5 of the children are girls?
9. A law firm employs three types of lawyers: junior lawyers, senior lawyers, and partners. During a given year, there is a 0.1 probability that a junior lawyer will be promoted to senior lawyer and a 0.05 probability that he or she will leave the firm. Also, there is a 0.2 probability that a senior lawyer will be promoted to partner and a 0.15 probability that he or she will leave the firm. There is a 0.03 probability that a partner will leave the firm. The firm never demotes a lawyer. th Let Xn be the status of an employee at the n' year after he or she has been hired, it could be one of the three types of lawyers (junior, senior, or partner) or two types of leaving (either leaving as a partner or leaving as a non-partner). Let state 0-junior, state 1-senior, state 2=partner, state 3= leave as non-partner, state 4= leave as partner The (one-step) transition matrix is P = 0.85 0 0 0 0 0.1 0 0.05 0.65 0.2 0.15 0 0.97 0 0 1 0 0 0 0 0 0 0.03 0 1 (a) Use the fundamental matrix method,…
Please answer the first question
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.
4. In a tennis match, with the score at deuce, the game is won by the first player who gets a clear lead of two points. If the probability that given player wins a particular point is 0, and all points are played independently, what is the probability that player eventually wins the game?
Tara is registering for a physics class. The morning classes are 1st, 2nd, and 3rd periods, and the afternoon classes are 4th, 5th, and 6th periods. Below is a table of teachers and the periods they teach the math class. If Tara requests an afternoon class, what is the probability that she will be assigned Mrs. David for 5th period? 1st 2nd 3rd 4th 5th 6th Williams X X X X Brown X X X Davis X X X X Miller X X X X
1.Mayank plays exactly one sport everyday. It can be football or basketball or chess. Forhim, the probability of playing chess on a random day is twice as that of playing footballand one third of the probability of playing basketball. What is the probability that in thenext week, he will play basketball in 3 days, chess in 2 days and football in the remainingdays?

Recommended textbooks for you

A First Course in Probability (10th Edition)

Probability

ISBN:

9780134753119

Author:

Sheldon Ross

Publisher:

PEARSON

A First Course in Probability

Probability

ISBN:

9780321794772

Author:

Sheldon Ross

Publisher:

PEARSON

A First Course in Probability (10th Edition)

Probability

ISBN:

9780134753119

Author:

Sheldon Ross

Publisher:

PEARSON

A First Course in Probability

Probability

ISBN:

9780321794772

Author:

Sheldon Ross

Publisher:

PEARSON

SEE MORE TEXTBOOKS