(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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2) The number of x people entering the intensive care unit (ICU) at a particular hospital on any given day has a Poisson probability distribution with mean rate of five persons per day. What is the probability that the number of people entering the ICU for 5 days is between 20 and 35 inclusive?
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
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.
2. If electricity power failures occur according to a Poisson distribution with an average of 5 failures every 20 weeks, calculate the probability that there will not be more than one failure during a particular week.
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?
The average number of collisions in a week during the summer months at a particular intersection is 2. Assume that the requirements of the Poisson distribution are satisfied. What is the probability that there will be exactly one collision in a week?
A group conducted a poll of 2017 likely voters just prior to an election. The results of the survey indicated that candidate A would receive 46% of the popular vote and candidate B would receive 45% of the popular vote. The margin of error was reported to be 2%. The group reported that the race was too close to call. Use the concept of a confidence interval to explain what this means. What does it mean to say the race was too close to call? O A. The margin of error suggests candidate A may receive between 44% and 48% of the popular vote and candidate B may receive between 43% and 47% of the popular vote. Because the poll estimates overlap when accounting for margin of error, the poll cannot predict the winner. O B. Since the poll results do not show that one of the candidates has more than 50% of the popular vote, the poll cannot predict the winner. O C. Since the estimated proportions depend on the level of confidence, the candidate predicted to receive the greater percentage of the…
In a busy highway on the average 5 accidents happen per week. What is the probability that there will be no accidents next week? Assume that the number of accidents has a Poisson distribution.
2. Give the probability generating function for an offspring distribution in which an individual either dies, with probability 1- p, or gives birth to three children, with probability p, Also find the mean and variance of the number of children in the fourth generation.

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