(6) Bruce is at a cafe watching people walk past while he works. He decides to model thenumber of people that pass him. Over the time he is there he sees a mean of 5 peopleper minute. You can assume that the number of people per minute is an independentvariable.(a) Why should Bruce use the Poisson distribution for the number of people he seesper minute and what is the relevant parameter?(b) Using this distribution, what is the probability that Bruce will be passed by morethan 7 people in a minute?(c) What is the probability that Bruce will have a minute where no-one passes him?(d) Bruce has seen no-one for 1 minute and 30 seconds. How long does he expect towait for the next person?

Given that Average number of people pass him in a minute=5 Note: According to bartleby experts…

Answered: (6) Bruce is at a cafe watching people…

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...

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review(10a): In the z distribution the mean will always be (a) less than 1 (b) greater than 1 (c) equal to 1. (d) equal to zero.
please solve it as soon as possible
Q4. Assume that daily evaporation rates (E) have a uniform distribution with a = 0 and b = 0.35 in/day. Determine the following probabilities: (a) P(E > 0.1); (b) P(E < 0.22); and (c) P(E = 0.2).
An aluminum foil manufacturer wants to improve the quality of his product and is trying to develop a probability model for the flaws that occur in a sheet of foil. Assume that X, the number of haws per square foot, has a Poisson distribution. If faws occur randomly at an average of one flaw per 90 square feet, what is the probability that a box containing a 270 square foot roll will contain more than one flaw? Round your answer to four decimal places, if necessary.
If a random variable that follows exponential distribution shows that P(X2000)=0.4, Then P(30002000) is: Select one: a. 0.3535 b. 0.3795 C. 14 0.3098 d. 0.2510 е. 0.3834
Some previous studies have shown a relationship between emergency-room admissions per day and level of pollution on a given day. A small local hospital finds that the number of admissions to the emergency ward on a single day ordinarily (unless there is unusually high pollution) follows a Poisson distribution with mean = 2.0 admissions per day. Suppose each admitted person to the emergency ward stays there for exactly 1 day and is then discharged. The hospital is planning a new emergency-room facility. It wants enough beds in the emergency ward so that for at least 95% of normal-pollution days it will not need to turn anyone away. What is the smallest number of beds it should have to satisfy this criterion? Answer the previous question for a random day during the year.
A university is considering setting up an information desk manned by one employee. Based on information obtained from similar information desks, it is believed that people will arrive at the desk at the rate of 18 per hour. It takes an average of 2 minutes to answer a question. It is assumed that arrivals are Poisson and answer times are exponentially distributed. What is the arrival rate? (Include the units.) What is the service rate? (Include the units.) Find the probability that the employee is idle.
(A), (B) and (C). Please!
In 1898, L. J. Bortkiewicz published a book entitled The Law of Small Numbers. He used data collected over 20 years to show that the number of soldiers killed by horse kicks each year in each corps in the Prussian cavalry followed a Poisson distribution with a mean of 0.61. (a) What is the probability of more than 1 death in a corps in a year? (b) What is the probability of no deaths in a corps over 6 years? Round your answers to four decimal places (e.g. 98.7654). (a) The probability is i ! (b) The probability is i
Benford's Law claims that numbers chosen from very large data files tend to have "1" as the first nonzero digit disproportionately often. In fact, research has shown that if you randomly draw a number from a very large data file, the probability of getting a number with "1" as the leading digit is about 0.301. Suppose you are an auditor for a very large corporation. The revenue report involves millions of numbers in a large computer file. Let us say you took a random sample of n = 250 numerical entries from the file and r = 60 of the entries had a first nonzero digit of 1. Let p represent the population proportion of all numbers in the corporate file that have a first nonzero digit of 1. Test the claim that p is less than 0.301 by using α = 0.01. What does the area of the sampling distribution corresponding to your P-value look like? a. The area in the right tail of the standard normal curve. b. The area not including the right tail of the standard normal curve.…
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