Question

In: Statistics and Probability

If student arrivals to the school dining commons follows the Poisson distribution with a mean of...

If student arrivals to the school dining commons follows the Poisson distribution with a mean of 50 students per day. For a randomly selected 36 days: (use 4 digits after decimal point)

What is the probability that they served breakfast to at least 1757 students during these 36 days? [hint: P(ΣX ≥ 1757 students) =?]

Solutions

Expert Solution


Related Solutions

The number of airplane landings at a small airport follows a Poisson distribution with a mean...
The number of airplane landings at a small airport follows a Poisson distribution with a mean rate of 3 landings every hour. 4.1 (6%) Compute the probability that 3 airplanes arrive in a given hour? 4.2 (7%) What is the probability that 8 airplanes arrive in three hours? 4.3 (7%) What is the probability that more than 3 airplanes arrive in a period of two hours?
When dealing with a waiting line problem in which the arrivals follow a poisson distribution, and...
When dealing with a waiting line problem in which the arrivals follow a poisson distribution, and the service times are either exponential or follow an arbitrary distribution with a known mean and standard deviation, list three ways in which the performance of a system can be improved. Discuss the advantage and disadvantage of each one.
The number of complaints received by a company each month follows a Poisson distribution with mean...
The number of complaints received by a company each month follows a Poisson distribution with mean 6. (a) Calculate the probability the company receives no complaint in a certain week. (b) Calculate the probability the company receives more than 4 complaints in a 2-week period. (c) Over a certain month, calculate the probability the company receives fewer complaints than it usually does with respect to its monthly average.
c) Patients arrived at hospital emergency department follows a Poisson distribution with a mean of 4...
c) Patients arrived at hospital emergency department follows a Poisson distribution with a mean of 4 patients per hour. i. In any 90 minutes period of time, find the probability that exactly 10 patients arrived. ii. Find the standard deviation of the number of patients arriving at the hospital.
Consider a Poisson distribution in which the offspring distribution is Poisson with mean 1.3. Compute the...
Consider a Poisson distribution in which the offspring distribution is Poisson with mean 1.3. Compute the (finite-time) extinction probabilities un = P{ Xn = 0 | X0 = 1 } for n = 0, 1, . . . , 5. Also compute the probability of ultimate extinction u∞.
Find each Poisson probability, using a mean arrival rate of 10 arrivals per hour.    (a)...
Find each Poisson probability, using a mean arrival rate of 10 arrivals per hour.    (a) Seven arrivals. (Round your answer to 4 decimal places.)      Poisson probability        (b) Three arrivals. (Round your answer to 4 decimal places.)      Poisson probability        (c) Fewer than five arrivals. (Round your answer to 4 decimal places.)      Poisson probability       (d) At least 11 arrivals. (Round your answer to 4 decimal places.)      Poisson probability   
Occurring a bug in software follows poisson distribution(mean = 100). Each bug becomes an error independently...
Occurring a bug in software follows poisson distribution(mean = 100). Each bug becomes an error independently after certain time which follows exponential distribution(mean = 10). When an error appears in system, it will be eliminated immediately. (1) After 100 hours, find probability that number of eliminated errors is 5 (2) Find the expected number of bugs still remain in software. (Solving process could be related to binomial distribution) Thanks in advance
The number of views of a page on a Web site follows a Poisson distribution with...
The number of views of a page on a Web site follows a Poisson distribution with a mean of 1.5 per minute. (i) What is the probability of no views in a minute? (ii) What is the probability of two or fewer views in 10 minutes? (iii) What is the probability of two or fewer views in 2 hours?
The time between car arrivals at an inspection station follows an exponential distribution with V (x)...
The time between car arrivals at an inspection station follows an exponential distribution with V (x) = 22 minutes. 1) Calculate the probability that the next car will arrive before the next 10 minutes. 2) Calculate the probability of receiving less than 5 cars during the next hour 3) If more than half an hour has passed without a car being presented, what is the probability that the employee will remain unemployed for at least 10 minutes? 4) If the...
Suppose that Y is the Poisson distribution of the number of students a school has. Find...
Suppose that Y is the Poisson distribution of the number of students a school has. Find the mode by studying the monotonicity and explaining if the mean is a)5.3 and other case b) 6
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT