The average rate of job submissions in a busy computer center is 3 per minute. If it can be assumed that the number of submissions per minute interval is Poisson distributed. Calculate the probability that exactly 40 jobs will be submitted in 15 minutes.

The average rate of job submissions in a busy computer center is 3 per minute. If it can be assumed that the number of submissions per minute interval is Poisson distributed. Calculate the probability that exactly 40 jobs will be submitted in 15 minutes.

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: What might be a set of numbers we expect to be normally distributed?

A: Introduction: A normally distributed random variable has a symmetric, bell-shaped distribution,…

Q: The amount of time spouses shop for anniversary cards can be modeled by an exponential distribution…

Q: The length of time that a student takes to complete her homework is uniformly distributed between 3…

Q: The number x of people admitted to an intensive care unit in a particular hospital, on any given…

A: We have given that λ = 5X ~ Poisson (λ) X ~…

Q: The binomial distribution can be used to model the daily number of pedestrian bicycle crashes on…

A: Random variables are of 2 types, discrete and continuous. A discrete random variable can only take…

Q: The amount of time, in seconds, a cashier spends with a customer during lunch time at a fast food…

A: Suppose the random variable x defines the amount of time, in seconds, a cashier spends with a…

Q: A bakery produces an average of 50 loaves of bread per day. The number of loaves produced by the…

A: The objective of this question is to find the probability that the bakery will sell at least two…

Q: he unemployment rate in a city is 14%. If 6 people from the city are sampled at random, find the…

A: When there are n trials and probability is same for all trials , we use binomial distribution .

Q: Human behavior can sometimes be modeled as a Poisson process. Suppose when you send a tweet on…

A: The probability shows how likely an event occurs.

Q: nd the probability that if 4 sticks are rarndomly arranged in a row, they will be arranged in order…

A: Number of ways of arranging 4 sticks will be: Total ways = 4! = 24

Q: Assume that when adults with smartphones are randomly selected, 55% use them in meetings or classes.…

A: It is given that the random variable X i.e, smartphones in meetings or classes follows Binomial…

Q: A bakery produces an average of 50 loaves of bread per day. The number of loaves produced by the…

A: The objective of this question is to find the probability that the bakery will sell at least two…

Q: The number of customers arriving at a teller’s window at Commercial Bank is Poisson distributed with…

A: Since, the average arrival is 2 persons per minute. Then, the average arrival in 2 minutes is 4…

Q: If a page is selected, find the probability that it has 2 misprints. Round the probability to at…

A: Mean λ=270430 =0.6279

Q: A phone company reports that 52 % of its customers subscribe to their high-speed internet service.…

Q: the table describes the smoking habits of a group of asthma sufferers. If two different people are…

A: It is given that the total number of women is 456 and the total number of people is 954.

Q: Suppose that the life span of a certain automobile tire is normally distributed, with μ = 25, 000…

A: Let X denote the life span of a certain automobile tire.Given that X follows a normal distribution…

Q: The table below describes a sample of males and females who like and dislike pizza. Give answers to…

A: a) The contingency table is given as follows: Gender Likes pizza Dislike pizza Total…

Q: The mean number of customers arriving at a bank during a 15-minute period is 10. Find the…

A: Suppose random variable X defines the number of customers arriving at a bank during a 15-minute…

Q: The amount of time a student in Justin’s Intro to Statistics course studied for the final exam is…

A: Given that the amount of time a student in Justin’s Intro to Statistics course studied for the final…

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: Approximately 8% of students at a local high school participate in after-schoold sports every year…

A: Given p=0.08n=60

Q: A drug test correctly gives a positive result 88 percent of the time. However, 3 percent of the…

A: Introduction: Denote X as the event that a person actually has one or more of the drugs in their…

Q: Find the probability that the total number of breakdowns that occur in a particular 4-week period is…

A: HereThe number of breakdowns of a factory machine in a week may be modelled by aPoisson distribution…

Q: The number of calls made by a telemarketer follows a Poisson distribution with a mean of 2 calls in…

A: Poisson pmf with rate lambda= 6

Q: In a recent year 304 of the appoximately 300,000,000 people in the USA were struck by…

A: There are 300,000,000 people in the United States in which 304 people were struck by lightning. The…

Q: Suppose that 70% of all students in a large university pass all their classes. Find the probability…

A: Given: 70% of all students in a large university pass all their classes i.e., p=0.70 Sample size…

Question

Expert Solution

This question has been solved!

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

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Step by step

Solved in 2 steps with 2 images

SEE SOLUTION Check out a sample Q&A here

Similar questions

The amount of time spouses shop for anniversary cards can be modeled by an exponential distribution with the average amount of time equal to 58 minutes. What is the probability that a randomly selected spouse spends no more than 20 minutes shopping for an anniversary card?
A health and safety consultant working in a large department store finds that the wait time for a lift on the second floor of the building can be modelled with a continuous uniform distribution ranging from 1 to 5 minutes. The lift takes 30 seconds to move from one floor to the next. Calculate the probability that a person can reach the ground floor in less than 2.25 minutes after pushing the button to request the lift on the second floor.
The cumulative probability for the entire binomial distribution does not have to sum to 1. True or False.
The amount of time spouses shop for anniversary cards can be modeled by an exponential distribution with the average amount of time equal to 47 minutes. What is the probability that a randomly selected spouse spends at least 39 minute shopping for an anniversary card?
In a recent year, an author wrote178checks. Use the Poisson distribution to find the probability that, on a randomly selected day, he wrote at least one check what is the probability SHARE