(b) Ship collisions in the Houston Ship Channel are rare. Suppose the number of collisionsare Poisson distributed, with a mean of 1.2 collisions every four months.i. What is the probability of having no collisions occur over a four-month period?ii. What is the probability of having less than two collisions over a four-month period?

The random variable X is the number of collisions It follows the Poisson distribution The mean…

Answered: (b) Ship collisions in the Houston Ship…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Similar questions

someone finds that an average of 1.6 cars approach the intersection every minute. assuming the number of cars that approach this intersection follows a Poisson distribution, what is the probability that 3 or more cars will approach the intersection within a minute?
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?
A bank received on average 9 bad cheques per day. What is the probability that the bank will receive 3 bad cheques on any given day. Hint: Use poisson distribution
Question 3 What is the answer to part (iv) Flaws occur at random along the length of a thin copper wire. Assume that the number of flaws follow a Poisson distribution with a mean of 2.3 flaws per millimetre. (i) Determine the probability of exactly 3 flaws in 1 millimetre of wire. ii) Determine the probability of 10 flaws in 5 millimetres of wire. iii) Determine the probability of at least 2 flaws in 2 millimetres of wire. (iv) What is the expectation and standard deviation for the aforementioned distribution?
The arrival rate of patients at a hospital counter follows Poisson distribution with a mean of 25 per hour. The service rate of the treatment to patients also follows Poisson distribution with a mean of 45 per hour.What is the probability of having 10 patients in the system (P 5 )?
Suppose a geyser has a mean time between eruptions of 92 minutes. Let the interval of time between the eruptions be normally distributed with standard deviation 24 minutes. Complete parts (a) through (e) below.
part 3 4 The number of clients arriving at a bank machine is Poisson distributed with an average of 2 per minute. For a 5-minute period, Find the expected value and standard deviation. What is the probability that 2 customers will arrive in a 5-minute period? What is the probability that no more than 2 customers will arrive in a 5-minute period? What are the underlying assumptions that allow us to consider this phenomenon as a Poisson distribution?
Last year, a person wrote 118 checks. Let the random variable x represent the number of checks he wrote in one day, and assume that it has a Poisson distribution. What is the mean number of checks written per day? What is the standard deviation? What is the variance?
Assume that your aunt wrote 139 letters to her family members in 2019. Let the random variable x represent the number of these letters that she wrote on a given day. Assume also that this scenario has a Poisson distribution. What is the mean number of letters written per day? Round to 3 decimal places. What is the standard deviation? Round to 3 decimal places.
Hits to a high-volume website are assumed to follow a Poisson distribution with a mean of 1200 per day. What is the probability that the number of hits to the website tomorrow will be between 1190 and 1220 (inclusive)?
A factory produces electronic components with an average of 0.2 defects per component. What is the probability that a randomly selected component will have exactly 1 defect, according to Poisson distribution?

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