The average number of workers arriving late is 5 per day. If we have to determine the probability of arriving 3 workers next day, we ill use the Poisson distribution 4) The average number of students arriving for a audition of Head boy is 5 per hour . If we have to determine the probability of arriving 3 students in given 1 hour, we ill use the Poisson distribution

The average number of workers arriving late is 5 per day. If we have to determine the probability of arriving 3 workers next day, we ill use the Poisson distribution 4) The average number of students arriving for a audition of Head boy is 5 per hour . If we have to determine the probability of arriving 3 students in given 1 hour, we ill use the Poisson distribution

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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can you solve last 2 please
Suppose that telephone calls arriving at a particular switchboard follow a Poisson process with an average of 4 calls coming per minute. What is the probability that up to a minute will elapse by the time 2 calls have come to the switchboard using the Gamma distribution? What is the probability that less than 30 seconds will elapse between successive calls coming to the switchboard? What is the probability of having at least 3 calls arrive to the switchboard in one minute? What is the probability of having at most 9 calls arrive to the switchboard in three minutes?
On average, a J&T delivery rider can deliver 10 packages to their respective owners in one hour. Based on this data, what is the probability that the rider can deliver at most 4 packages in half an hour? Use Poisson distribution.
The percent frequency distributions of job satisfaction scores for a sample of information systems (IS) senior executives and middle managers are as follows. The scores range from a low of 1 (very dissatisfied) to a high of 5 (very satisfied). Job Satisfaction Score IS Senior Executives (%) IS Middle Managers (%) 1 5 4 2 9 10 3 24 14 4 42 46 5 20 26 c) What is the probability that a randomly selected senior executive will report a job satisfaction score of 4 or 5? (d) What is the probability that a randomly selected middle manager is very satisfied? (e) Compare the overall job satisfaction of senior executives and middle managers. Senior executives appear to be - Select your answer -more satisfiedless satisfiedItem 15 than middle managers.
Suppose bird attacks follow a Poisson process and attacks occur at a rate of 4 attacks per week What is the probability of a bird free week (0 bird attacks)? In a period of 16 weeks, what is the probability of exactly 2 bird free weeks? What is the probability that it takes 16 weeks for there to be exactly 3 bird free weeks?
Table 1 shows the distribution of the opinions of US adults who are married on how long they could go between jobs without any income and still be able to pay all their bills on time. A researcher believes that the distribution of the US adults who are not married is different from those that are married provided in table 1. The researcher randomly selects 250 US adults who are not married and ask them how long they could go between jobs without any income and still be able to pay their bills on time (Table 2). At alpha =0.01, are the distributions different? Table 1 Response Percentage None 33 One month 15 2 months 11 3 months 7 4 months 4 5 months 3 More than 5 months 25 Not sure 2 Total 100 Table 2 Response Frequency, f None 83 One month 46 2 months 37 3 months 11 4 months 9 5 months 7 More than 5 months 52 Not sure 5 What is the P-value?…
In a factory, in a batch of 100 products, there are on average 3 of defected ones. Please calculate the following using the indicated distributions: Probability of having at least 1 defected products in 800 products. a- Solve using Binomial distribution b- Solve using Poisson distribution
It is assumed that the requests coming to a server with an average of 36 requests per minute are distributed by Poisson distribution. What is the probability of receiving requests in the range [20, 40] within one minute with the normal distribution approach?
A rare genetic disease is known to be carried by 20 people among 10000 people in the society.a) In a random sample of 1000 people, calculate the probability that less than 2 carry the disease? (Pleasesolve this section with Binomial distribution)a) In a random sample of 2000 people, calculate the probability that more than 5 carry the disease? (Pleasesolve this section with Poisson distribution)c) If people are randomly tested for the disease, what is the probability that the first person who is found tocarry the disease is the sixth person?
Suppose that we plan to approximate a binomial distribution with parameters n and p by a Poisson distribution. What is the parameter for the Poisson distribution?
The number of major faults on a randomly chosen 1 km stretch of highway has a Poisson distribution with mean 1.7. The random variable X is the distance (in km) between two successive major faults on the highway. Part a) What is the probability of having at least one major fault in the next 2 km stretch on the highway? Give your answer to 3 decimal places. Part b) Which of the following describes the distribution of X, the distance between two successive major faults on the highway? OA. X - Exponential(mean OB. X - Exponential(mean = 2 - 1.7) Oc. X - Exponential(mean = 217) OD. X - Poisson(2 - 1.7) OE. X- Poisson(1.7) (푸 Part c) What is the mean distance (in km) and standard deviation between successive major faults? OA. mean = 3.4000; standard deviation = 3.4000 OB. mean = 0.5882; standard deviation = 0.5882 OC. mean = 0.2941; standard deviation = 0.2941 OD. mean = 0.5882; standard deviation = 0.3460 O E. mean = 1.7; standard deviation = 1.7 Part d) What is the median distance (in km)…