When three friends go for a coffee, they decide who will pay the check by each flipping a coin and then letting the odd person pay. If all three flips produce the same result (so that there is no odd person), then they make a second round of flips, and they continue to do so until there is an odd person. (a) What is the distribution of the number of coin flips they make in one outing? Specify all param- eters. (b) What is the probability that exactly 3 rounds of flips are made? (c) What is the probability that more than 4 rounds are needed? (d) What is the expected number of coin flips?

When three friends go for a coffee, they decide who will pay the check by each flipping a coin and then letting the odd person pay. If all three flips produce the same result (so that there is no odd person), then they make a second round of flips, and they continue to do so until there is an odd person. (a) What is the distribution of the number of coin flips they make in one outing? Specify all param- eters. (b) What is the probability that exactly 3 rounds of flips are made? (c) What is the probability that more than 4 rounds are needed? (d) What is the expected number of coin flips?

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

I need help with questions ABCDE
Residence in the city are charge for water usage every three months the water bill is computed from a common fee along with the amount of water the customer uses the last water bill for 40 residence from two different neighborhoods are shown in the histogram below. which of the following is a true statement comparing the water bills of the two neighborhoods? more homes on front Street had water bills above 225 then on Pine Road more homes on Pine Road had water bills under 150 then on front Street more homes on Pine Road had water bill is above 200 then on front Street The same number of homes on both streets had water bills between 175 and 200
Answer for this question from the word bank
Pls help ASAP ON ALL PARTS
Chapter 11 2. Directions: Show all your work. Indicate clearly the methods you use, because you will be graded on the correctness of your methods as well as on the accuracy of your results and explanation. A random sample of 200 students was selected from a large college in the United States. Each selected student was asked to give his or her opinion about the following statement. "The most important quality of a person who aspires to be the President of the United States is a knowledge of foreign affairs." Each response was recorded in one of five categories. The gender of each selected student was noted. The data are summarized in the table below. Page 2 of 4 Response Category Strongly Somewhat Disagree Male 10 Disagree 15 Neither Agree nor Disagree Somewhat Strongly Agree Agree 15 25 25 Female 20 25 25 25 15 Is there sufficient evidence to indicate that the response is dependent on gender? Provide statistical evidence to support your conclusion. AP Statistics
I just need help with parts D and E please.
Which statement is accurate about the relationship between Populations and Samples? It is easier to test the entire population than to make inferences from a sample. If a sample is selected randomly from a population then it will be exactly equal to the population. Any difference between the population and the sample is known as sampling error All 3 statements are true
An experiment consists of drawing two numbers out of a hat one after the other containing the numbers 1, 3, 5, 6. The two numbers are then recorded as a 2-digit number. The number drawn is NOT put back in the hat before drawing the second. Do the following: List the sample space.________________________________ Let F = the event of getting a number whose first digit is odd Let S = the event of getting a multiple of 6 Find P( F and S) =____________________________________ Find P(F) =______________________________ Find P(F|S) =_______________________________________ Are F and S independent events? ___________Justify_____________ VIII (15) Let E be the event that at least two people out of 4 have the same birth month (not day). How many outcomes in the Sample space. In other words, compute n(S).________ State in words the complement of E. _____________________________ How many outcomes in the event not E. In other words, compute n(not E). ________…
Chapter 11 2. Directions: Show all your work. Indicate clearly the methods you use, because you will be graded on the correctness of your methods as well as on the accuracy of your results and explanation. A random sample of 200 students was selected from a large college in the United States. Each selected student was asked to give his or her opinion about the following statement. "The most important quality of a person who aspires to be the President of the United States is a knowledge of foreign affairs." Each response was recorded in one of five categories. The gender of each selected student was noted. The data are summarized in the table below. Page 2 of 4 Response Category Strongly Somewhat Disagree Male 10 Disagree 15 Neither Agree nor Disagree Somewhat Strongly Agree Agree 15 25 25 Female 20 25 25 25 15 Is there sufficient evidence to indicate that the response is dependent on gender? Provide statistical evidence to support your conclusion. AP Statistics
use. Do a conclusion about thiS 20.5 "reference" drugs that they imitate. One aspect in which ance times (second received the generic drug first, followed by the reference signed at random to the subjects. Subjects 1 through 10 matched pairs design. Numbers 1 through 20 were as- TABLE 20.5 Absorption extent for two drug first, followed by the generic drug. In all 20.50 Comparing two drugs. Makers of generic drugs must ght-hand and left. reads chow that they do not differ significantly from the Astep "reference" drugs that they imitate. One aspect in which Arugs might differ is their extent of absorption in the klood. Table 20.5 gives data taken from 20 healthy non- smoking male subjects tor one pair of drugs." This is a matched pairs design. Numbers 1 through 20 were as- signed at random to the subjects. Subjects 1 through 10 20. Subject Thread Th Right drug. Subjects 11 through 20 received the reference drug first, followed by the generic drug. In all cases, a washout period separated…
correct answer please
The Bar graph below describes the scores of a group of students on a 10-point math quiz Frequency 10 9 8 7 6 2 1 0 Ill.... 6 7 3 4 Quiz Scores 5 Score a) How many students took the math quiz? 8 9 10 b) What percentage of the students scored 3 points (round to one decimal place)? c) If a grade of 6 or more was needed to pass the quiz what percentage of the student's passed? (Round your answer to the nearest tenth of a percent.) % %