4. A bus arrives at a bus stop according to a Poisson process with 2 = 4 per hour. a. What is the probability that no busses will arrive in the first hour? b. What is the probability that the first bus will take more than 1 hour to arrive?

4. A bus arrives at a bus stop according to a Poisson process with 2 = 4 per hour. a. What is the probability that no busses will arrive in the first hour? b. What is the probability that the first bus will take more than 1 hour to arrive?

Name: 4. A bus arrives at a bus stop according to a Poisson process with à
Uploaded: 2024-03-20T07:06:41.000Z
Channel: Bartleby
Description: 4. A bus arrives at a bus stop according to a Poisson process with à = 4 per hour.a. What is the probability that no busses will arrive in the first hour?b. What is the probability that the first bus will take more than 1 hour to arrive?

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

Related questions

Q: The probability that the damages laptop is 0.2. Laptops are selected at a random. Find the…

Q: 2. The probability that a randomly selected student in your class watched something on Netflix at…

Q: Assume that a study of 500 randomly selected airplane routes showed that 482 arrived on time.Select…

A: Given information- Sample size, n = 500 Significance level, α = 0.05 Since 482 airplane out of 500…

Q: Q6- The average number of typographical errors on a page of a certain magazine is 0.01. What is the…

A: Given, the average number of typographical errors on a page of a certain magazine is 0.01 i.e.…

Q: The proportion of a population under the age of 18 is known to equal 0.42 (42%). a) Determine the…

A: The proportion of a population under the age of 18 is known to equal 0.42.

Q: 32. A baseball player with a batting average of 0.291 has a probability of 0.291 of getting a hit…

A: The batting average of a baseball player is 0.291. The probability of getting a hit for a given time…

Q: Customers arrive in a certain shop has the mean rate of 13 per hour. a) what is the probability that…

A: Given: per hour X ~ Poisson ()Using Poisson distribution:

Q: Determine the number of times a fair coin must be tossed so that the probability of the ratio of the…

A: Let us denote the number of tails as X and the total number of tosses is n. p^=x/n When fair coin…

Q: 5. At a police station, on average, the reported number of accidents is three per day. Find the…

A: Given that, At a police station, on average, the reported number of accidents is three per day. i.e…

Q: Planet X has 73 calendar days. What is the probability that in a room with 11 inhabitants of Planet…

A: To solve this, we can first calculate the probability that none of the 11 inhabitants share a…

Q: 10.a. Telephone calls arrive at an exchange according to a poisson process at the rate of one call…

A: a) To calculate the probability that at least five minutes have elapsed since the last call arrived,…

Q: Suppose X and Y have joint pdf f(x, y) = {ax²y (ax²y, x² ≤ y ≤ 1 0, otherwise

Q: In a village, power cuts occur randomly at a rate of 3 per year. Find the probability that in a…

Q: 3.) If the probability of an event occurs is 0.7, determine the probability that the event does not…

Q: 12. Supposing that an average of 8 taxis arrive at a station in one hour. Find the probability that…

A: Given,The average no.of taxis arrive at a station in one hour is 8so an average no.of taxis arrive…

Q: 2) A hospital has 30 patients. Hospital records show that of patients suffering from a certain…

Q: A high school baseball player has a 0.208 batting average. In one game, he gets 9 at bats. What is…

Q: A section of 7.5 kilometers has been closed down for remediation of rust attack. What is the…

A: We can model the number of rust infestations using a Poisson distribution with parameter λ, where λ…

Q: Suppose that the commuting time on a particular train is uniformly distributed between 35 and 55…

A: Let us define the random variable X as the commuting time on a particular train is uniformly…

Q: Suppose that, at a newsstand, customers who buy a newspaper or magazine do so with an average of 1.6…

Q: The probability that a newly matriculated student will not get to the second year of their studies…

Q: Consider an M/M/1 queuing system with mean inter arrival time of 6 minutes. The average service time…

Q: The average number of emergency calls per day at a fire station is 4.8. These calls are considered…

A: GivenAverage number of emergency calls per day at a fire station is 4.8λ=4.8 calls per dayLet "x" be…

Q: ..s) A researcher studied the relationship between coffee drinking and heart attacks in young women.…

A: Find ( A ) P ( heavy and heart attack ) =? ( B ) p ( heart attack / heavy ) =?

Q: In 1% of calls coming to a business call center in a day, the call duration exceeds 20 minutes. 1.…

A: Given data: The given percentage of calls coming to a business call center in a day when the…

Q: Suppose 16% of students entering uni drop out before receiving their degree. If a random sample of…

Q: What is the probability distribution if X∼B(3,0.82)?

A: Given : X∼B(3,0.82)

Q: 6. Suppose you run an experiment where you repeatedly chuck a snail out into the road and observe…

A: From the given information,Probability of hitting a car P = 30% = 0.30Randomly selected chucking…

Q: When making random guesses on an 8 question quiz the probability of guessing correctly on any one…

Q: a) Find the probability that there will be more than 4 customers in one minute b) A customer has…

Q: Assume that four adults are randomly selected without replacment from the 258,343,280 adults in the…

A: As Prof. A. M. Goon said "Suppose there is a finite population of size N that contains exactly K…

Q: Solve step by step in digitl format At the General Hospital Dr. Manuel Gea González, of the…

A: A continuous random variable X is said to follow Exponential distribution with parameter λ if its…

Q: process with an average of 5 calls coming per minute. What is the probability that up to a minute…

Q: 1. A coin is tossed 10 times. Find the probability of getting a) at least 2 heads (Ans: 0.989)e b)…

Q: Q2. Determine the number of times a fair coin must be tossed so that the probability of the ratio of…

A: et us denote the number of tails as X and the total number of tosses is n. p^=x/n When fair coin was…

Concept explainers

Contingency Table

A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.

Binomial Distribution

Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.

Topic Video

Question

4. A bus arrives at a bus stop according to a Poisson process with à = 4 per hour.
a. What is the probability that no busses will arrive in the first hour?
b. What is the probability that the first bus will take more than 1 hour to arrive?

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 2 steps

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

$Discrete Probability Distributions$

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, probability and related others by exploring similar questions and additional content below.

Similar questions

) The percentage of students at a college that have internet connection at home is 80%. In a random sample of 152 students, what is the probability that more than 38 students have the internet connection at home
6. Three out of eight BS in Business Administration graduates are in banking industry. If 600 BS in Business Administration graduates are randomly selected, find the probability that 190 or less are in banking industry? Solution: nq =
Suppose that on the average, 5 customers arrive at a shop during a 1-hour period. Assume arrival times of customers follow a Poisson Process. Find the probability that no customer will arrive within 10 minutes. Find the probability that the fifth customer will arrive after an hour. (Hint: NOT 36.8% and 17.5%)
2. On average, a saleslady in a department store spends with her customer is 4 minutes. a) Find the probability that the saleslady spends more than 3 minutes with a customer? b) Find the probability that the saleslady spends between 4 to 5 minutes with a customer?
needed the solve asap
A law professor observed that only 20% of the students who get admitted to the freshmen class usually reached fourth year. Assuming that this is correct, find the probability that among 15 randomly selected first year students, exactly 3 students will reach fourth year?
13) The following table contains data about the perfomance of a couple of mutual funds with various stocks. Number of stocks which Number of stocks which increased in value last decreased in value last month 28 month Diverse Mutual Market Mutual 25 If one of the stocks is randomly selected, find the probability that the stock is from Diverse Mutual given that the stock increased last month. Write the answer as a simplified fraction. Show your work.
Suppose that one third of the new buildings in Centra City are in violation of the building code. If a building inspector inspects 5 of the buildings, chosen at random, what is the probability that exactly 3 of the buildings will pass inspection? Round your answer to 3 decimal places!
Q5. It was found that a New Brunswick family doctor has on average 14 patients calling in for anappointment they say they need to have on that very day during a standard 10 hour work day.Using the tables(a) What is the probability that a New Brunswick family doctor has more than 20 patientscalling in for an appointment they say they need to have on that very day during a standard10 hour work day?(b) What is the probability that a New Brunswick family doctor has more than 2 patientscalling in for an appointment they say they need to have on that very day during the nexthour?(c) What is the probability that a New Brunswick family doctor has 7 or less 20 patientscalling in for an appointment they say they need to have on that very day during the next3 hours?(d) For this situation, determine the probabilities of being within 1, 2 an d 3 standard deviations for the mean and compare these results to the empirical rule
87. Suppose that there is a chance for a newly constructed f over to collapse whether the design is faulty or not. The chance that the design is faulty is 5%. The chance that the fly over collapses if the design is faulty is 95%, otherwise it is 30%. A fly over collapsed. What is the probability that it collapsed because of faulty design ? Şr..