The number of accidents per day at a busy intersection has a Poisson distribution with mean 0.4 during a workday, and 0.2 during a weekend day. If the number of accidents on different days is independent, what is the probability that there will be exactly one accident at the intersection during a week? (Use a decimal number, rounded to the nearest 1000th. For example

The number of accidents per day at a busy intersection has a Poisson distribution with mean 0.4 during a workday, and 0.2 during a weekend day. If the number of accidents on different days is independent, what is the probability that there will be exactly one accident at the intersection during a week? (Use a decimal number, rounded to the nearest 1000th. For example

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

The number of work-related injuries per month in a manufacturing plant is known to follow a Poisson distribution, with a mean of 4.0 work-related injuries a month. What is the probability that in a given month, no work-related injuries occur? That at least one work-related injury occurs?
In a recent year, a hospital had 4463 births. Find the mean number of births per day, then use that result and the Poisson distribution to find the probability that in a day there are 14 births. Does it appear likely that on any given day, there will be exactly 14 births?
In a recent year, a hospital had 4142 births. Find the mean number of births per day, then use that result and the Poisson distribution to find the probability that in a day, there are 13 births. Does it appear likely that on any given day, there will be exactly 13 births?
A study reveals that 82% relationships end in the first two years. A random sample of 100 newly formed couples isselected.a. What is the probability that the sample proportion is less than 0.80?b. What is the probability that the sample proportion is within ±0.02 of the population proportion?
The number of days ahead of their trip that travelers purchase their airline tickets can be modeled as an exponential distribution with a mean of 12 days. a. Determine the probability that a traveler will purchase their ticket less than 25 days before their trip Answer in exact fraction, or rounded to at least 4 decimal places. b. Determine the 77 percentile number of days by which travellers make an advance purchase of their tickets. Answer in exact fraction, or rounded to at least 4 decimal places. days
Suppose the manager agrees to pay each employee a $50 bonus if they meet a certain goal. On a typical Saturday, the oil change facility will perform 40 oil changes between 10 AM and 12PM. Treating this as a random sample, there would be a 10% chance of the mean oil change time being at or below what value.
Can I get help for question B?
The author of a book makes an average of 2 typing errors per page. Find the probability that a randomly selected page from the author's book will have 3 errors. Assume the number of errors per page has a Poisson distribution. Below ?e denotes Euler's number,?≅2.718.e≅2.718.
4a.) Draw the graphs. Round your final answers up to 6 decimal places, if applicable. Give the correct units.
Kindly answer the following question:
A certain kind of sheet metal has, on average, 4 defects per 20 square feet.Assuming a Poisson distribution, find the probability that a 28 square foot metal sheet has at least 7 defects. Round your answer to three decimal places.