14. The distribution of the number of road accidents per day in a city isPoisson with a mean of 4. Find the number of days out of 100 dayswhen there will be (i) no accident, (i) at least 2 accidents, and (iii) atmost 3 accidents.(3 ( 01 (HD) 447

The Poisson distribution is P(X=x)=e-λλxx! where λ is the mean.

Answered: The distribution of the number of road…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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In order to compare the real estate markets in Pittsburgh and Philadelphia, a realtor selected a random sample of 150 homes in the Pittsburgh area and 100 homes in the Philadelphia area. Shown below are dotplots showing the distribution of home price for the homes in these two cities.
Cigarette packets used to contain cards representing such things as flowers, film stars or football teams. A complete set would comprise n different cards, say, and collectors would aim to obtain a complete set. Clearly, the first packet bought would contain a new card which would start the collection. The next card obtained might simply duplicate the first card, or it might also be a new card, and add to the collection, and so on. Obtain expressions for the mean and variance of the number of packets which must be purchased until a complete set of cards is obtained.
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(5) A certain educational institute has 15 centers located at different places in a city. There are three telephone operators in each center. The manager wanted to estimate the average number of calls received per telephone per week for this institute. He decided to select four centers and the number of calls received on last week for each operator were recorded. The data collected are given in Table 02. Answer the following questions. Table 02: Number of calls received for each operator 25, 15, 30 18, 12, 10 20, 18, 22 15, 20, 18 Center 1 4 (i) (ii) What is the sampling method used in this study? Justify your answer. Estimate the average number of telephone calls received per telephone operator.
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Suppose there are 5 students in a room. The mean age is 19.8 years, and the median age is 19. If the youngest person leaves and is not replaced by another person, what happens to the mean and the median? O The mean and median increase. The mean increases, and the median either increases or stays the same. The mean increases, but it is impossible to determine whether the median increases, decreases, or stays the same. The mean increases, and the median stays the same. The median increases, and the mean either increases or stays the same.
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researcher wonders if the amount of sleep new parents get is associated with how grumpy they are. The researcher recruits a sample of 100 new parents and asks them (1) how many hours of sleep they are getting each night, (2) how many hours of sleep their baby is getting each night, and (3) how grumpy they 4 are on a scale from 0 (not at all grumpy) to 100 (very grumpy). They saved the results to a file called hwo_parenthood. cs. Load the data into jamovi and answer the following questions. 3. What is the value of the test statistic for each association? 4. What is the degrees of freedom for each association? 5. What is the precise p-value as reported by jamovi for each association? Make sure you report the value to at least three decimal places. 6. Which of the associations are significant?? 7. What is the direction of each association ? 8. What is the effect size for each association? Are they weak, moderate, or strong? 9. What does each of the associations mean in plain language?
Last school year, the student body of a local university consisted of 20% freshmen, 21% sophomores, 29% juniors, and 30% seniors. A random sample of 300 students taken from this year's student body showed the following number of students in each class. Freshmen 84 Sophomores 65 Juniors 86 Seniors 65 We are interested in determining whether there has been a significant change in the distribution of class between the last school year and this school year.If the distribution is the same as the previous year, the expected number of freshmen is _____. a. 84 b. 87 c. 60 d. 20
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The distribution of the number of road accidents per day in a city is Poisson with a mean of 4. Find the number of days out of 100 days when there will be (i) no accident, (i) at least 2 accidents, and (iii) at most 3 accidents.