A statistics professor finds that when he schedules an office hour at the 10:30 a.m. time slot, an average of three students arrives. Use the Poisson distribution tofind the probability that in a randomly selected office hour no students will arrive.O A. 0.1225O B. 0.0743O C. 0.1108O D. 0.0498O Time Remaining: 01:08:58NextTCJT11Test 21-45 of 45

The Poisson distribution is used to calculate the probability of getting r number of…

Answered: Astatistics professor finds that when…

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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USA today reported that parkfield, CA is dubbed the worlds earthquake capital because it sits on top of the notorious San Andres fault. Since 1857 parkfield has had a major earthquake on the average of 1.1 times every 22 years. Explain why a poisson probability would be a good choice for r= number of earthquakes in a given time interval B. Compute the probability of at least one major earthquake in the next 22 years. Use 4 decimal places. C. Compute the probability that there will be no major earthquake in the next 22 years. Use 4 decimal places. D.Compute the probability of at least one major earthquake in the next 41years. Use 4 decimal places. E. Compute the probability of no major earthquake in the next 41 years. Use 4 decimal places.
A manufacturer of clothing knows that the probability of a snap flaw is 0.002. An inspector examines 70 shirts in an hour, each with 6 snaps. Using a Poisson probability model, what is the probability she finds no snap flaws? The probability the inspector finds no snap flaws is. (Round to three decimal places as needed.)
Let X = {Email, In Person, Instant Message, Text Message}; P(Email) = 0.06 P(In Person) = 0.55 P(Instant Message) = 0.24 P(Text Message) = 0.15 Is this model a probability distribution? A. Yes. B. No. C. Maybe.
A mail-order company receives an average of five orders per 500 solicitations. If it sends out 100 advertisements, find the probability of receiving at least two orders. Use the Poisson distribution. ....* O A. 0.9596 O B. 0.2642 OC. 0.1839 OD. 0.9048 Type here to search DELL
8. Final: For recent period of 100 years, there were 530 Atlantic hurricanes. Assume the Poisson distribution is a suitable model, find the probability that less than 3 hurricanes in a randomly selected year. O a. .1901 O b. None of the above O C. .2075 O d. .3701 O e..1016 日田

The probability that a car will have a flat tire while driving through a certain tunnel is 0.00005. Use the Poisson distribution to approximate the probability that among 14,000 cars passing through this tunnel, exactly two will have a flat tire. Round your answer to four decimal places. OA. 0.1947 B. 0.1703 OC. 0.1217 OD. 0.8783 OE. 0.1460
Pete's Market is a small local grocery store with only one checkout counter. Assume that shoppers arrive at the checkout lane according to a Poisson probability distribution, with an arrival rate of 20 customers per hour. The checkout service times follow an exponential probability distribution, with a service rate of 25 customers per hour. The manager’s service goal is to limit the waiting time prior to beginning the checkout process to no more than five minutes. Also the manager of Pete's Market wants to consider one of the following alternatives for improving service. Calculate the value of Wq for each alternative. Hire a second person to bag the groceries while the cash register operator is entering the cost data and collecting money from the customer. With this improved single-server operation, the service rate could be increased to 33 customers per hour. Round your answer to three decimal places. Do not round intermediate calculations.Wq = 2.797 minutes Hire a second person to…
A sample of a radioactive material is studied in a lab. There are 741 gamma ray emissions over 130 seconds. Use the Poisson distribution to find the probability that 1 or fewer gamma rays are emitted in a given second. Do not round intermediate computations, and round your answer to three decimal places. (If necessary, consult a list of formulas.) ?
In a recent year, Professor Thompson wrote 195 checks. Find the probability that on a randomly selected day, he wrote at least one check. (Hint: Use the Poisson distribution)
On average, you receive 2.6 pieces of junk mail a day. Assume that the number of pieces of junk mail you receive each day follows the Poisson distribution What is the probability of receiving more than three pieces of junk mail today? O a. 0.2939 O b. 0.2639 O c. 0.2693 d. 0.2369
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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

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