Airline passengers arrive randomly and independently at the passenger-screening facility at a major international airport. The mean arrival rate is 11 passengers per minute.a. Compute the probability of no arrivals in a one-minute period (to 6 decimals).0.0000b. Compute the probability that three or fewer passengers arrive in a one-minute period (to 4 decimals).0.0103c. Compute the probability of no arrivals in a 15-second period (to 4 decimals).0.0820d. Compute the probability of at least one arrival in a 15-second period (to 4 decimals).0.9179

This is a Poisson distribution because it satisfied the following conditions:Randomness: Airline…

Answered: Airline passengers arrive randomly and…

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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The mean percent of childhood asthma prevalence in 43 cities is 2.08%. A random sample of 32 of these cities is selected. What is the probability that the mean childhood asthma prevalence for the sample is greater than 2.5%? Interpret this probability. Assume that σ=1.33%.
The accompanying table shows the numbers of male and female students in a particular country who received bachelor's degrees in business in a recent year. Complete parts (a) and (b) below : Click the icon to view the data on business degrees. (a) Find the probability that a randomly selected student is male, given that the student received a business degree. The probability that a randomly selected student is male, given that the student received a business degree, is (Round to three decimal places as needed.) (b) Find the probability that a randomly selected student received a business degree, given that the student is female. The probability that a randomly selected student received a business degree, given that the student is female, is (Round to three decimal places as needed.) Business Graduates Business degrees Nonbusiness degrees 189,097 166,785 355,882 Total 638,759 943,320 1,582,079 827,856 1,110,105 1,937,961 Male Female Total Print Done 66°F Type here to search
3. Waiting times to receive food after placing an order at the local Subway sandwich shop follow an exponential distribution with a mean of 60 seconds. Calculate the probability a customer waits: a. Less than 30 seconds. b. More than 120 seconds. c. Between 45 and 75 seconds.
Telephone calls arrive at an information desk at a rate of 35 per hour. What is the probability that the next call will arrive within 5 minutes? The probability that the next call will arrive within 5 minutes is (Round to four decimal places as needed.)
The months of July to October are considered rainy season in the Philippines as multiple weather disturbances are always experienced within this span. A sample data of a weather disturbance within this season is given. The probability distribution is presented in the table. 1. What number of weather disturbance has the highest probability? 2. Find the mean of the given data 3. Interpret the mean Number of weather disturbance in a month (x) Probability P(x) 0 .12 1 .20 2 .33 3 .25 4 .10
The length of time a person shops for groceries can be modeled by an exponential distribution with the average equal to 34 minutes. a. What is the probability that a person spends less than 37.7 minutes shopping for groceries? b. Determine the 94 percentile amount of time spent shopping for groceries.
Use the data in the following table, which lists drive-thru order accuracy at popular fast food chains. Assume that orders are randomly selected from those included in the table. If one order is selected, find the probability of getting an order from restaurant Upper B or Upper D or an order that is not accurate. a. The probability of getting an order from restaurant Upper B or Upper D or an order that is not accurate is (Round to three decimal places as needed.)
Use the data in the following table, which lists drive-thru order accuracy at popular fast food chains. Assume that orders are randomly selected from those included in the table. Drive-thru Restaurant O B D Order Accurate 318 260 231 146 Order Not Accurate 30 50 38 20 (a) If one order is randomly selected, what is the probability of getting an order from Restaurant A or an order that is accurate? (Round to three decimal places as needed.) of (b) If one order is randonly selected, what is the probability that the order is from Restaurant A, given that the order is accurate? (Round to three decimal places as needed.) of
A subway train arrives every eight minutes during rush hour. We are interested in the length of time a commuter must wait for a train to arrive. The time follows a uniform distribution. Find the probability that the commuter waits less than two minutes. Write your answer as an exact decimal.
Seventy percent of adults favor some kind of government control on the prices of medicines. Assume that this percentage is true for the current population of all adults. Find the probability that the proportion of adults in a random sample of 400 who favor some kind of government control on the prices of medicines is... (round to 4 decimals) a)less than 0.65 b) between 0.71 to 0.77
A coin was flipped four times. Let T be the number of tails that come out. (a.) Construct the probability histogram
The table below shows the probability distribution of job satisfaction scores (1 - 4) for a group of senior executives. A score of 1 indicates a strong dissatisfaction with their jobs; a score of 4 indicates a strong satisfaction with their jobs.Note that you must complete both parts a. and b. to receive any marks for the remaining parts of this question.a. Complete the missing value in the following table. Round to at least FIVE decimals if necessary. Job Satisfaction Score Probability of Score 1 0.2 2 3 0.27 4 0.26 b. What is the expected job satisfaction score for this group of senior executives?Answer: Do NOT round your answer!c. What is the standard deviation of the job satisfaction score for this group of senior executives?Answer: Round to at least FIVE decimals if necessaryd. Suppose a senior executive expects to earn an additional 4350 dollars per year for each job satisfaction score point. The executive also will receive a fixed 250 dollar yearly raise and…

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