The number of stork sightings on a route in South Carolina per year follows a Poisson distribution with amean of 4.a. What is the probability that there are exactly 4 sightings within 8 months?Answer:b. What is the mean time between two consecutive sightings?Answer:(years)c. What is the probability that the time until the first sighting is more than 2 months?Answer:> Next Question

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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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An Internet celebrity video has an average of 9,000 people watching every day. Try to calculate the probability that no one watches the video for 1 minute using the Poisson distribution and the index distribution respectively.
The average time Filipinos spent in streaming site is 15 hours per week. Suppose a sample of 65 Filipinos is taken to analyze their viewing habits. Assume the population standard deviation for viewing time is ?=3hours.*Use the proper notation in expressing the probability.a.What is the probability the sample mean will be within 1 hour of the population mean? b.What is the probability the sample mean will be within 30 minutes of the population mean?
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
A county has been experiencing a mean of 33.8 motor vehicle deaths each year. Use the Poisson distribution to answer the following. a. Find the mean number of deaths per day. b. Find the probability that on a given day, there are more than 2 motor vehicle deaths. c. Is it unusual to have more than 2 motor vehicle deaths on the same day? Why or why not? a. The mean number of deaths per day is (Round to three decimal places as needed.)
d) Which number of minutes per day represents the 70th percentile? (Round to the nearest whole number as needed.)
The number of content changes to a Web site follows a Poisson distribution with a mean of 0.25 per day. What is the probability of no content changes in five days? 0.026 0.267 0.287 None of the choices
The NJ Department of Health has reported the average life span of NJ residents is 81 years. If the standard deviation is σ = 4 years, what is the probability of a person living to at least 92 years of age?
81. According to a recent Pew Research poll, 75% of millennials (people born between 1981 and 1995) have a profile on a social networking site. Let X = the number of millennials you ask until you find a person without a profile on a social networking site. a. Describe the distribution of X. b. Find the (i) mean and (ii) standard deviation of X. c. What is the probability that you must ask ten people to find one person without a social networking site? d. What is the probability that you must ask 20 people to find one person without a social networking site? e. What is the probability that you must ask at most five people?
The number of accidents that occur at a busy intersection is Poisson distributed with a mean of 4.4 per week. Find the probability of the following events. A. No accidents occur in one week. Probability = B. 7 or more accidents occur in a week. Probability = C. One accident occurs today. Probability =
The number of content changes to a Web site follows a Poisson distribution with a mean of 0.25 per day. What is the probability of two or more changes in a day? 0.026 0.287 0.267 None of the choices
Please use the approporate stats table provided. Do not use a software for this problem. Q17: If the mean number of serious accidents per year in a large factory (where the number of employees remains constant) is five, find the probability that in the current year there will be:a. No accidents b. One accident c. Two or more
Assume that the sales of Teri’s Specialty Cakes has historically followed a normal distribution, with an average of 250 cakes per month, and a standard deviation of 15 cakes.a. What is the probability that the sales for cakes will be no more than 285 over the next month?b. What is the probability that the sales for the cakes will be no more than 230 cakes over the next month?c. What is the probability that the sales for the cakes will be between 245 and 265 over the next month?d. What number of cake demand can Teri reasonably assume with a confidence level of 95%?For a, b, c, and d, please write out your work for at least one of these problems. For all problems, explain your answers and sketch a plot (similar to the handouts and text).

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